G-Oscillator Strength v.1Hello this is my new indicator. Purpose of this indicator is to find the strength of the trend.
This indicator was developed by RSI(14) and Stochastic(50)
 How to used 
Red = RSI(14) & Sto(50) < 40   
Lightblue = RSI(14) >= 50 and Sto(40) < 50  
Darkblue = RSI(14) & Sto(40) >= 50  
Green = Sto(40) >= 80  
Yellow =  RSI(14) < 50 and Sto(40) >= 50
 Buy&Sell 
Buy signal for this indicator is Lightblue to Darkblue 
Sell signal is Green to Darkblue or Darkblue to Yellow
 
在脚本中搜索"信达股份40周年"
Bitcoin - MA Crossover StrategyBefore You Begin: 
Please read these warnings carefully before using this script, you will bear all fiscal responsibility for your own trades.
 
 Trading Strategy Warning - Past performance of this strategy may not equal future performance, due to macro-environment changes, etc.
 Account Size Warning - Performance based upon default 10% risk per trade, of account size $100,000. Adjust BEFORE you trade to see your own drawdown.
 Time Frame - D1 and H4. H4 has a lower profit factor (more fake-outs, and account drawdown), D1 recommended.
 Trend Following System - Profitability of this system is dependent on STRONG future trends in Bitcoin (BTCUSD).
 
 Default Settings: 
This script was tested on Daily and 4 Hourly charts using the following default settings. Note that 4 Hourly exhibits higher drawdowns and lower profit factor, whilst Daily appears more stable.
 
 Account Size ($): 100,000 (please adjust to simulate your own risk)
 Equity Risk (%): 10 (please adjust to simulate your own risk)
 Fast Moving Average (Period): 20
 Slow Moving Average (Period): 40
 Relative Strength Index (Period): 14
 
 Trading Mechanism: 
Trend following strategies work well for assets that display the tendency of long-trends. Please do not use this script on financial assets that have a historical tendency for mean reversion. Bitcoin has historically exhibited strong trends, and thus this script is designed to capitalise on that behaviour. It is hoped (but we cannot predict), that Bitcoin will strongly trend in the coming days.
 LONG: 
 
 Enter Long - When fast moving average (20) crosses ABOVE slow moving average (40)
 Exit Long - When fast moving average (20) crosses BELOW slow moving average (40)
 
 SHORT: 
 
 Enter Short - When fast moving average (20) crosses BELOW slow moving average (40)
 Exit Short - When fast moving average (20) crosses ABOVE slow moving average (40)
 
 Risk Warnings: 
Do note that "moving averages" are a lagging indicator, and as such heavy drawdowns could occur when a trade is open. If you are trading this system manually, it is best to avoid emotions and let the system tell you when to enter and exit. Do not panic and exit manually when under heavy drawdown, always follow the system. Do not be emotional. If possible, connect this to your broker for auto-trading.  Ensure that your risk per trade (Equity Risk) is SMALL enough that it does not result in a margin-call on your trading account. Equity risk must always be considered relative to your total account size. 
 Remember:  You bear all financial responsibility for your trades, best of luck.
Simple Harmonic Oscillator (SHO)The indicator is based on Akram El Sherbini's article "Time Cycle Oscillators" published in IFTA journal 2018 (pages 78-80) (www.ftaa.org.hk)
 The SHO is a bounded oscillator for the simple harmonic index that calculates the period of the market’s cycle. The oscillator is used for short and intermediate terms and moves within a range of -100 to 100 percent. The SHO has overbought and oversold levels at +40 and -40, respectively. At extreme periods, the oscillator may reach the levels of +60 and -60. The zero level demonstrates an equilibrium between the periods of bulls and bears. The SHO oscillates between +40 and -40. The crossover at those levels creates buy and sell signals. In an uptrend, the SHO fluctuates between 0 and +40 where the bulls are controlling the market. On the contrary, the SHO fluctuates between 0 and -40 during downtrends where the bears control the market. Reaching the extreme level -60 in an uptrend is a sign of weakness. Mostly, the oscillator will retrace from its centerline rather than the upper boundary +40. On the other hand, reaching +60 in a downtrend is a sign of strength and the oscillator will not be able to reach its lower boundary -40. 
 Centerline Crossover Tactic 
This tactic is tested during uptrends. The buy signals are generated when the WPO/SHI cross their centerlines to the upside. The sell signals are generated when the WPO/SHI cross down their centerlines. To define the uptrend in the system, stocks closing above their 50-day EMA are considered while the ADX is above 18.
 Uptrend Tactic 
During uptrends, the bulls control the markets, and the oscillators will move above their centerline with an increase in the period of cycles. The lower boundaries and equilibrium line crossovers generate buy signals, while crossing the upper boundaries will generate sell signals. The “Re-entry” and “Exit at weakness” tactics are combined with the uptrend tactic. Consequently, we will have three buy signals and two sell signals.
 Sideways Tactic 
During sideways, the oscillators fluctuate between their upper and lower boundaries. Crossing the lower boundary to the upside will generate a buy signal. On the other hand, crossing the upper boundary to the downside will generate a sell signal. When the bears take control, the oscillators will cross down the lower boundaries, triggering exit signals. Therefore, this tactic will consist of one buy signal and two sell signals. The sideway tactic is defined when stocks close above their 50-day EMA and the ADX is below 18
NG [Simple Harmonic Oscillator]The SHO is a bounded oscillator for the simple harmonic index that calculates the period of the market’s cycle. 
The oscillator is used for short and intermediate terms and moves within a range of -100 to 100 percent. 
The SHO has overbought and oversold levels at +40 and -40, respectively. 
At extreme periods, the oscillator may reach the levels of +60 and -60. 
The zero level demonstrates an equilibrium between the periods of bulls and bears. 
The SHO oscillates between +40 and -40. 
The crossover at those levels creates buy and sell signals. 
In an uptrend, the SHO fluctuates between 0 and +40 where the bulls are controlling the market. 
On the contrary, the SHO fluctuates between 0 and -40 during downtrends where the bears controlthe market. 
Reaching the extreme level -60 in an uptrend is a sign of weakness.
🏆 AG Pro Crypto Screener & Signal Dashboard v2.7🏆 AG Pro Multi-Crypto Screener & Signal Dashboard (Completely Free)
Stop wasting your valuable time navigating dozens of charts just to find opportunities!
This completely free and professional signal dashboard scans up to 40 Crypto, Stock, or Forex assets for you from a single screen. The AG Pro Screener is designed for traders who need to make fast, informed decisions. It monitors the market 24/7, identifies 'Buy' signals based on its robust multi-filter strategy, and presents all opportunities on a professional "at-a-glance" interface.
This is not just another indicator; it's a complete Crypto Screener and Signal Panel designed for professional traders.
AG Pro Kripto Tarayıcı ve Sinyal Paneli (Multi-Crypto Screener & Signal Dashboard)
✨ Compelling Features (All 100% Free)
Advanced Dashboard Design: A best-in-class professional table with "Zebra Stripes" for easy reading, a custom-branded title bar, and a compact layout.
Multi-Symbol Scanning: Scans up to 40 different user-defined assets (Coins, Stocks, etc.) simultaneously.
Advanced Multi-Filter Strategy (All Toggleable):
Trend Filter (SMA 200): Capture only strong signals that are aligned with the main trend.
Momentum Filter (RSI): Increase your success rate by confirming signals with relative strength (e.g., RSI > 50).
Entry Signal (EMA Crossover): The core 'Buy' signal based on a fast/slow EMA cross (e.g., 20/50).
Volume Filter: Automatically filter out low-volume, illiquid, and risky assets from your signal list.
"At-a-Glance" Visual Icons: This dashboard doesn't just give signals; it shows you the quality of the signal:
Trend Column: 🔼 (Uptrend) or 🔽 (Downtrend) icons instantly show if the signal is "with the trend."
Signal Freshness Column: Special icons show how "fresh" the signal is:
🔥 (Hot): 0-3 bars ago (A new opportunity!)
❇️ (Fresh): 4-7 bars ago
⏳ (Old): 8+ bars ago (Signal may be stale)
Fully Customizable Interface:
Adjustable Text Size: Choose your own font size (Tiny, Small, Normal) to perfectly fit the table to your screen.
Selectable Timeframe: Scan your current "Chart" timeframe, or lock the panel to a specific timeframe (e.g., "4H" or "1D").
Powerful Alert Support: Set up just one single alert to receive instant notifications for all new 'Buy' signals found across all 40 assets. Perfect for strategy automation and bot setups.
⚙️ How to Use
Add this indicator (AG Pro Screener) to your chart.
Open the Settings (⚙️) panel for the script.
In the "Symbol List" section, fill the 40 empty slots with your favorite assets (e.g., BINANCE:BTCUSDT, BINANCE:ETHUSDT, NASDAQ:AAPL, etc.).
In the "Strategy Settings" section, customize your filters like EMA lengths and RSI levels to match your personal system.
Watch the dashboard scan the market for you and deliver signals in real-time!
🙏 Support & Feedback (Don't Forget to Like!)
A lot of effort went into developing this free tool. If you find it helpful, please take one second to click the Like (👍) button and Follow me for the next scripts in the "AG Pro" series.
You can leave all your suggestions and new feature requests as a comment. Happy trading!
[AS] MACD-v  & Hist [Alex Spiroglou | S.M.A.R.T. TRADER SYSTEMS]    MACD-v & MACD-v Histogram  
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  Volatility Normalised Momentum 📈
     Twice Awarded Indicator 🏆
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 =======================================
✅ 1. INTRODUCTION TO THE MACD-v ✅
======================================= 
I created the MACD-v in 2015,
as a way to deal with the limitations
of well known indicators like the Stochastic, RSI, MACD.
I decided to publicly share a very small part of my research
in the form of a research paper I wrote in 2022,
titled  "MACD-v: Volatility Normalised Momentum". 
That paper was awarded twice:
 
1. The "Charles H. Dow" Award (2022), 
for outstanding research in Technical Analysis,
by the Chartered Market Technicians Association (CMTA)
 2. The "Founders" Award (2022), 
for advances in Active Investment Management,
by the National Association of Active Investment Managers (NAAIM)
  
=======================================
 ===================================================
❌ 2. WHY CREATE THE MACD-v ?
THE LIMITATIONS OF CONVENTIONAL MOMENTUM INDICATORS
==================================================== 
Technical Analysis indicators focused on momentum,
come in two general categories,
each with its own set of limitations:
 (i) Range Bound Oscillators (RSI, Stochastics, etc) 
These usually have a scaling of 0-100,
and thus have the advantage of having normalised readings,
that are comparable across time and securities.
However they have the following limitations (among others):
1. Skewing effect of steep trends
2. Indicator values do not adjust with and reflect true momentum 
    (indicator values are capped to 100)
 (ii) Unbound Oscillators (MACD, RoC, etc) 
These are boundless indicators,
and can expand with the market,
without being limited by a 0-100 scaling,
and thus have the advantage of really measuring momentum.
They have the main following limitations (among others):
1. Subjectivity of overbought / oversold levels
2. Not comparable across time
3. Not comparable across securities
  
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 =======================================
💡 3. THE SOLUTION TO SOLVE THESE LIMITATIONS
======================================= 
In order to deal with these limitations,
I decided to create an indicator,
that would be the "Best of two worlds".
A unique & hybrid indicator,
that would have objective normalised readings
(similar to Range Bound Oscillators - RSI)
but would also be able to have no upper/lower boundaries
(similar to Unbound Oscillators - MACD).
This would be achieved by "normalising" a boundless oscillator (MACD)
=======================================
 ==================================================
⛔ 4. DEEP DIVE INTO THE 5 LIMITATIONS OF THE MACD
================================================== 
A Bloomberg study found that the MACD
is the most popular indicator after the RSI,
but the MACD has 5 BIG limitations.
 Limitation 1: MACD values are not comparable across Time 
The raw MACD values shift 
as the underlying security's absolute value changes across time,
making historical comparisons obsolete
e.g S&P 500 maximum MACD was 1.56 in 1957-1971,
but reached 86.31 in 2019-2021 - not indicating 55x stronger momentum, 
but simply different price levels.
  
 Limitation 2:  MACD values are not comparable across Assets 
Traditional MACD cannot compare momentum between different assets.
S&P 500 MACD of 65 versus EUR/USD MACD of -0.5 
reflects absolute price differences, not momentum differences
  
 Limitation 3: MACD values cannot be Systematically Classified 
Due to limitations #1 & #2, it is not possible to create 
a momentum level classification scale
where one can define "fast", "slow", "overbought", "oversold" momentum
making systematic analysis impossible
  
 Limitation 4: MACD Signal Line gives false crossovers in low-momentum ranges 
In range-bound, low momentum environments, 
most of the MACD signal line crossovers are false (noise)
Since there is no objective momentum classification system (limitation #3),
it is not possible to filter these signals out,
by avoiding them when momentum is low
  
 Limitation 5: MACD Signal Line gives late crossovers in high momentum regimes. 
Signal lag in strong trends not good at timing the turning point
— In high-momentum moves, MACD crossovers may come late.
Since there is no objective momentum classification system (limitation #3),
it is not possible to filter these signals out,
by avoiding them when momentum is high
  
===================================================================
 
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🏆 5. MACD-v : THE SOLUTION TO THE LIMITATIONS OF THE MACD , RSI, etc 
==================================================================== 
MACD-v is a volatility normalised momentum indicator.
It remedies these 5 limitations of the classic MACD,
while creating a tool with unique properties.
 Formula:   × 100 
MACD-V enhances the classic MACD by normalizing for volatility, 
transforming price-dependent readings into standardized momentum values. 
This resolves key limitations of traditional MACD and adds significant analytical power.
 Core Advantages of MACD-V 
 Advantage 1: Time-Based Stability 
MACD-V values are consistent and comparable over time. 
A reading of 100 has the same meaning today as it did in the past
(unlike traditional MACD which is influenced by changes in price and volatility over time)
  
 Advantage 2: Cross-Market Comparability 
MACD-V provides universal scaling. 
Readings (e.g., ±50) apply consistently across all asset classes—stocks, 
bonds, commodities, or currencies,
allowing traders to compare momentum across markets reliably.
 Advantage 3: Objective Momentum Classification 
MACD-V includes a defined 5-range momentum lifecycle 
with standardized thresholds (e.g., -150 to +150). 
This offers an objective framework for analyzing market conditions 
and supports integration with broader models.
  
 Advantage 4: False Signal Reduction in Low-Momentum Regimes 
MACD-V introduces a "neutral zone" (typically -50 to +50) 
to filter out these low-probability signals.
 Advantage 5: Improved Signal Timing in High-Momentum Regimes 
MACD-V identifies extremely strong trends,
allowing for more precise entry and exit points.
 
 Advantage 6: Trend-Adaptive Scaling 
Unlike bounded oscillators like RSI or Stochastic, 
MACD-V dynamically expands with trend strength, 
providing clearer momentum insights without artificial limits.
 Advantage 7: Enhanced Divergence Detection 
MACD-V offers more reliable divergence signals 
by avoiding distortion at extreme levels, 
a common flaw in bounded indicators (RSI, etc)
  
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 =======================================
⚒️ 5. HOW TO USE THE MACD-v: 7 CORE PATTERNS 
         HOW TO USE THE MACD-v Histogram: 2 CORE PATTERNS 
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>>>>>>  BASIC USE  (RANGE RULES) <<<<<<
The MACD-v has 7 Core Patterns (Ranges) :
 1. Risk Range (Overbought) 
 Condition: MACD-V > Signal Line and MACD-V > +150
 Interpretation: Extremely strong bullish momentum—potential exhaustion or reversal zone.
 2. Retracing 
 Condition: MACD-V < Signal Line and MACD-V > -50
 Interpretation: Mild pullback within a bullish trend.
 3. Rundown 
 Condition: MACD-V < Signal Line and -50 > MACD-V > -150
 Interpretation: Momentum is weakening—bearish pressure building.
 4. Risk Range (Oversold) 
 Condition: MACD-V < Signal Line and MACD-V < -150
 Interpretation: Extreme bearish momentum—potential for reversal or capitulation.
 5. Rebounding 
 Condition: MACD-V > Signal Line and MACD-V > -150
 Interpretation: Bullish recovery from oversold or weak conditions.
 6. Rallying 
 Condition: MACD-V > Signal Line and MACD-V > +50
 Interpretation: Strengthening bullish trend—momentum accelerating.
 7. Ranging (Neutral Zone) 
 Condition: MACD-V remains between -50 and +50 for 20+ bars
 Interpretation: Sideways market—low conviction and momentum.
  
 The MACD-v Histogram has 2 Core Patterns (Ranges) : 
 1. Risk (Overbought) 
 Condition: Histogram > +40
 Interpretation: Short-term bullish momentum is stretched—possible overextension or reversal risk.
 2. Risk (Oversold) 
 Condition: Histogram < -40
 Interpretation: Short-term bearish momentum is stretched—potential for rebound or reversal.
  
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📈 6. ADVANCED PATTERNS WITH MACD-v 
======================================= 
Thanks to its volatility normalization, 
the MACD-V framework enables the development 
of a wide range of advanced pattern recognition setups, 
trading signals, and strategic models. 
These patterns go beyond basic crossovers, 
offering deeper insight into momentum structure, 
regime shifts, and high-probability trade setups.
These are not part of this script
=======================================
 
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⚙️ 7. FUNCTIONALITY - HOW TO ADD THE INDICATORS TO YOUR CHART
=========================================================== 
The script allows you to see :
 1.	MACD-v  
The indicator with the ranges (150,50,0,-50,-150)
and colour coded according to its 7 basic patterns
  
 2.	MACD-v Histogram 
The indicator The indicator with the ranges (40,0,-40)
and colour coded according to its 2 basic ranges / patterns
  
 3.	MACD-v Heatmap 
   You can see the MACD-v in a Multiple Timeframe basis,
   using a colour-coded Heatmap
   Note that lowest timeframe in the heatmap must be the one on the chart
   i.e. if you see the daily chart, then the Heatmap will be Daily, Weekly, Monthly 
     
 4. MACD-v Dashboard 
   You can see the MACD-v for 7 markets,
   in a multiple timeframe basis
  
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🤝 CONTRIBUTIONS 🤝
======================================= 
I would like to thank the following people:
1.	Mike Christensen for coding the indicator
@TradersPostInc, @Mik3Christ3ns3n, 
2.	@Indicator-Jones For allowing me to use his Scanner
3.	@Daveatt For allowing me to use his heatmap
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⚠️ LEGAL - Usage and Attribution Notice ⚠️
======================================= 
Use of this Script is permitted 
for personal or non-commercial purposes, 
including implementation by coders and TradingView users. 
However, any form of paid redistribution, 
resale, or commercial exploitation is strictly prohibited.
Proper attribution to the original author is expected and appreciated, 
in order to acknowledge the source 
and maintain the integrity of the original work.
Failure to comply with these terms, 
or to take corrective action within 48 hours of notification, 
will result in a formal report to TradingView’s moderation team,
and  will actively pursue account suspension and removal of the infringing script(s). 
 Continued violations may result in further legal action, as deemed necessary. 
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⚠️ DISCLAIMER ⚠️
======================================= 
This indicator is For Educational Purposes Only (F.E.P.O.).
I am just Teaching by Example (T.B.E.)
It does not constitute investment advice.
There are no guarantees in trading - except one.
You will have losses in trading. 
I can guarantee you that with 100% certainty.
The author is not responsible for any financial losses
or trading decisions made based on this indicator. 🙏
Always perform your own analysis and use proper risk management. 🛡️
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Quantum Rotational Field MappingQuantum Rotational Field Mapping (QRFM):  
Phase Coherence Detection Through Complex-Plane Oscillator Analysis
 Quantum Rotational Field Mapping  applies complex-plane mathematics and phase-space analysis to oscillator ensembles, identifying high-probability trend ignition points by measuring when multiple independent oscillators achieve phase coherence. Unlike traditional multi-oscillator approaches that simply stack indicators or use boolean AND/OR logic, this system converts each oscillator into a rotating phasor (vector) in the complex plane and calculates the  Coherence Index (CI) —a mathematical measure of how tightly aligned the ensemble has become—then generates signals only when alignment, phase direction, and pairwise entanglement all converge.
The indicator combines three mathematical frameworks:  phasor representation  using analytic signal theory to extract phase and amplitude from each oscillator,  coherence measurement  using vector summation in the complex plane to quantify group alignment, and  entanglement analysis  that calculates pairwise phase agreement across all oscillator combinations. This creates a multi-dimensional confirmation system that distinguishes between random oscillator noise and genuine regime transitions.
 What Makes This Original 
 Complex-Plane Phasor Framework 
This indicator implements classical signal processing mathematics adapted for market oscillators. Each oscillator—whether RSI, MACD, Stochastic, CCI, Williams %R, MFI, ROC, or TSI—is first normalized to a common   scale, then converted into a complex-plane representation using an  in-phase (I)  and  quadrature (Q)  component. The in-phase component is the oscillator value itself, while the quadrature component is calculated as the first difference (derivative proxy), creating a velocity-aware representation.
 From these components, the system extracts: 
 Phase (φ) : Calculated as φ = atan2(Q, I), representing the oscillator's position in its cycle (mapped to -180° to +180°)
 Amplitude (A) : Calculated as A = √(I² + Q²), representing the oscillator's strength or conviction
This mathematical approach is fundamentally different from simply reading oscillator values. A phasor captures both  where  an oscillator is in its cycle (phase angle) and  how strongly  it's expressing that position (amplitude). Two oscillators can have the same value but be in opposite phases of their cycles—traditional analysis would see them as identical, while QRFM sees them as 180° out of phase (contradictory).
 Coherence Index Calculation 
The core innovation is the  Coherence Index (CI) , borrowed from physics and signal processing. When you have N oscillators, each with phase φₙ, you can represent each as a unit vector in the complex plane: e^(iφₙ) = cos(φₙ) + i·sin(φₙ).
 The CI measures what happens when you sum all these vectors: 
 Resultant Vector : R = Σ e^(iφₙ) = Σ cos(φₙ) + i·Σ sin(φₙ)
 Coherence Index : CI = |R| / N
Where |R| is the magnitude of the resultant vector and N is the number of active oscillators.
The CI ranges from 0 to 1:
 CI = 1.0 : Perfect coherence—all oscillators have identical phase angles, vectors point in the same direction, creating maximum constructive interference
 CI = 0.0 : Complete decoherence—oscillators are randomly distributed around the circle, vectors cancel out through destructive interference
 0 < CI < 1 : Partial alignment—some clustering with some scatter
This is not a simple average or correlation. The CI captures  phase synchronization  across the entire ensemble simultaneously. When oscillators phase-lock (align their cycles), the CI spikes regardless of their individual values. This makes it sensitive to regime transitions that traditional indicators miss.
 Dominant Phase and Direction Detection 
Beyond measuring alignment strength, the system calculates the  dominant phase  of the ensemble—the direction the resultant vector points:
 Dominant Phase : φ_dom = atan2(Σ sin(φₙ), Σ cos(φₙ))
This gives the "average direction" of all oscillator phases, mapped to -180° to +180°:
 +90° to -90°  (right half-plane): Bullish phase dominance
 +90° to +180° or -90° to -180°  (left half-plane): Bearish phase dominance
The combination of CI magnitude (coherence strength) and dominant phase angle (directional bias) creates a two-dimensional signal space. High CI alone is insufficient—you need high CI  plus  dominant phase pointing in a tradeable direction. This dual requirement is what separates QRFM from simple oscillator averaging.
 Entanglement Matrix and Pairwise Coherence 
While the CI measures global alignment, the  entanglement matrix  measures local pairwise relationships. For every pair of oscillators (i, j), the system calculates:
 E(i,j) = |cos(φᵢ - φⱼ)| 
This represents the phase agreement between oscillators i and j:
 E = 1.0 : Oscillators are in-phase (0° or 360° apart)
 E = 0.0 : Oscillators are in quadrature (90° apart, orthogonal)
 E between 0 and 1 : Varying degrees of alignment
The system counts how many oscillator pairs exceed a user-defined entanglement threshold (e.g., 0.7). This  entangled pairs count  serves as a confirmation filter: signals require not just high global CI, but also a minimum number of strong pairwise agreements. This prevents false ignitions where CI is high but driven by only two oscillators while the rest remain scattered.
The entanglement matrix creates an N×N symmetric matrix that can be visualized as a web—when many cells are bright (high E values), the ensemble is highly interconnected. When cells are dark, oscillators are moving independently.
 Phase-Lock Tolerance Mechanism 
A complementary confirmation layer is the  phase-lock detector . This calculates the maximum phase spread across all oscillators:
For all pairs (i,j), compute angular distance: Δφ = |φᵢ - φⱼ|, wrapping at 180°
 Max Spread  = maximum Δφ across all pairs
If max spread < user threshold (e.g., 35°), the ensemble is considered  phase-locked —all oscillators are within a narrow angular band.
This differs from entanglement: entanglement measures pairwise cosine similarity (magnitude of alignment), while phase-lock measures maximum angular deviation (tightness of clustering). Both must be satisfied for the highest-conviction signals.
 Multi-Layer Visual Architecture 
QRFM includes six visual components that represent the same underlying mathematics from different perspectives:
 Circular Orbit Plot : A polar coordinate grid showing each oscillator as a vector from origin to perimeter. Angle = phase, radius = amplitude. This is a real-time snapshot of the complex plane. When vectors converge (point in similar directions), coherence is high. When scattered randomly, coherence is low. Users can  see  phase alignment forming before CI numerically confirms it.
 Phase-Time Heat Map : A 2D matrix with rows = oscillators and columns = time bins. Each cell is colored by the oscillator's phase at that time (using a gradient where color hue maps to angle). Horizontal color bands indicate sustained phase alignment over time. Vertical color bands show moments when all oscillators shared the same phase (ignition points). This provides historical pattern recognition.
 Entanglement Web Matrix : An N×N grid showing E(i,j) for all pairs. Cells are colored by entanglement strength—bright yellow/gold for high E, dark gray for low E. This reveals  which  oscillators are driving coherence and which are lagging. For example, if RSI and MACD show high E but Stochastic shows low E with everything, Stochastic is the outlier.
 Quantum Field Cloud : A background color overlay on the price chart. Color (green = bullish, red = bearish) is determined by dominant phase. Opacity is determined by CI—high CI creates dense, opaque cloud; low CI creates faint, nearly invisible cloud. This gives an atmospheric "feel" for regime strength without looking at numbers.
 Phase Spiral : A smoothed plot of dominant phase over recent history, displayed as a curve that wraps around price. When the spiral is tight and rotating steadily, the ensemble is in coherent rotation (trending). When the spiral is loose or erratic, coherence is breaking down.
 Dashboard : A table showing real-time metrics: CI (as percentage), dominant phase (in degrees with directional arrow), field strength (CI × average amplitude), entangled pairs count, phase-lock status (locked/unlocked), quantum state classification ("Ignition", "Coherent", "Collapse", "Chaos"), and collapse risk (recent CI change normalized to 0-100%).
Each component is independently toggleable, allowing users to customize their workspace. The orbit plot is the most essential—it provides intuitive, visual feedback on phase alignment that no numerical dashboard can match.
 Core Components and How They Work Together 
 1. Oscillator Normalization Engine 
The foundation is creating a common measurement scale. QRFM supports eight oscillators:
 RSI : Normalized from   to   using overbought/oversold levels (70, 30) as anchors
 MACD Histogram : Normalized by dividing by rolling standard deviation, then clamped to  
 Stochastic %K : Normalized from   using (80, 20) anchors
 CCI : Divided by 200 (typical extreme level), clamped to  
 Williams %R : Normalized from   using (-20, -80) anchors
 MFI : Normalized from   using (80, 20) anchors
 ROC : Divided by 10, clamped to  
 TSI : Divided by 50, clamped to  
Each oscillator can be individually enabled/disabled. Only active oscillators contribute to phase calculations. The normalization removes scale differences—a reading of +0.8 means "strongly bullish" regardless of whether it came from RSI or TSI.
 2. Analytic Signal Construction 
For each active oscillator at each bar, the system constructs the analytic signal:
 In-Phase (I) : The normalized oscillator value itself
 Quadrature (Q) : The bar-to-bar change in the normalized value (first derivative approximation)
This creates a 2D representation: (I, Q). The phase is extracted as:
φ = atan2(Q, I) × (180 / π)
This maps the oscillator to a point on the unit circle. An oscillator at the same value but rising (positive Q) will have a different phase than one that is falling (negative Q). This velocity-awareness is critical—it distinguishes between "at resistance and stalling" versus "at resistance and breaking through."
The amplitude is extracted as:
A = √(I² + Q²)
This represents the distance from origin in the (I, Q) plane. High amplitude means the oscillator is far from neutral (strong conviction). Low amplitude means it's near zero (weak/transitional state).
3. Coherence Calculation Pipeline
For each bar (or every Nth bar if phase sample rate > 1 for performance):
 Step 1 : Extract phase φₙ for each of the N active oscillators
 Step 2 : Compute complex exponentials: Zₙ = e^(i·φₙ·π/180) = cos(φₙ·π/180) + i·sin(φₙ·π/180)
 Step 3 : Sum the complex exponentials: R = Σ Zₙ = (Σ cos φₙ) + i·(Σ sin φₙ)
 Step 4 : Calculate magnitude: |R| = √ 
 Step 5 : Normalize by count: CI_raw = |R| / N
 Step 6 : Smooth the CI: CI = SMA(CI_raw, smoothing_window)
The smoothing step (default 2 bars) removes single-bar noise spikes while preserving structural coherence changes. Users can adjust this to control reactivity versus stability.
The dominant phase is calculated as:
φ_dom = atan2(Σ sin φₙ, Σ cos φₙ) × (180 / π)
This is the angle of the resultant vector R in the complex plane.
 4. Entanglement Matrix Construction 
For all unique pairs of oscillators (i, j) where i < j:
 Step 1 : Get phases φᵢ and φⱼ
 Step 2 : Compute phase difference: Δφ = φᵢ - φⱼ (in radians)
 Step 3 : Calculate entanglement: E(i,j) = |cos(Δφ)|
 Step 4 : Store in symmetric matrix: matrix  = matrix  = E(i,j)
The matrix is then scanned: count how many E(i,j) values exceed the user-defined threshold (default 0.7). This count is the  entangled pairs  metric.
For visualization, the matrix is rendered as an N×N table where cell brightness maps to E(i,j) intensity.
 5. Phase-Lock Detection 
 Step 1 : For all unique pairs (i, j), compute angular distance: Δφ = |φᵢ - φⱼ|
 Step 2 : Wrap angles: if Δφ > 180°, set Δφ = 360° - Δφ
 Step 3 : Find maximum: max_spread = max(Δφ) across all pairs
 Step 4 : Compare to tolerance: phase_locked = (max_spread < tolerance)
If phase_locked is true, all oscillators are within the specified angular cone (e.g., 35°). This is a boolean confirmation filter.
 6. Signal Generation Logic 
Signals are generated through multi-layer confirmation:
 Long Ignition Signal :
CI crosses above ignition threshold (e.g., 0.80)
 AND  dominant phase is in bullish range (-90° < φ_dom < +90°)
 AND  phase_locked = true
 AND  entangled_pairs >= minimum threshold (e.g., 4)
 Short Ignition Signal :
CI crosses above ignition threshold
 AND  dominant phase is in bearish range (φ_dom < -90° OR φ_dom > +90°)
 AND  phase_locked = true
 AND  entangled_pairs >= minimum threshold
 Collapse Signal :
CI at bar   minus CI at current bar > collapse threshold (e.g., 0.55)
 AND  CI at bar   was above 0.6 (must collapse from coherent state, not from already-low state)
These are strict conditions. A high CI alone does not generate a signal—dominant phase must align with direction, oscillators must be phase-locked, and sufficient pairwise entanglement must exist. This multi-factor gating dramatically reduces false signals compared to single-condition triggers.
 Calculation Methodology 
 Phase 1: Oscillator Computation and Normalization 
On each bar, the system calculates the raw values for all enabled oscillators using standard Pine Script functions:
RSI: ta.rsi(close, length)
MACD: ta.macd() returning histogram component
Stochastic: ta.stoch() smoothed with ta.sma()
CCI: ta.cci(close, length)
Williams %R: ta.wpr(length)
MFI: ta.mfi(hlc3, length)
ROC: ta.roc(close, length)
TSI: ta.tsi(close, short, long)
Each raw value is then passed through a normalization function:
normalize(value, overbought_level, oversold_level) = 2 × (value - oversold) / (overbought - oversold) - 1
This maps the oscillator's typical range to  , where -1 represents extreme bearish, 0 represents neutral, and +1 represents extreme bullish.
For oscillators without fixed ranges (MACD, ROC, TSI), statistical normalization is used: divide by a rolling standard deviation or fixed divisor, then clamp to  .
 Phase 2: Phasor Extraction 
For each normalized oscillator value val:
I = val (in-phase component)
Q = val - val  (quadrature component, first difference)
Phase calculation:
phi_rad = atan2(Q, I)
phi_deg = phi_rad × (180 / π)
Amplitude calculation:
A = √(I² + Q²)
These values are stored in arrays: osc_phases  and osc_amps  for each oscillator n.
 Phase 3: Complex Summation and Coherence 
Initialize accumulators:
sum_cos = 0
sum_sin = 0
For each oscillator n = 0 to N-1:
phi_rad = osc_phases  × (π / 180)
sum_cos += cos(phi_rad)
sum_sin += sin(phi_rad)
Resultant magnitude:
resultant_mag = √(sum_cos² + sum_sin²)
Coherence Index (raw):
CI_raw = resultant_mag / N
Smoothed CI:
CI = SMA(CI_raw, smoothing_window)
Dominant phase:
phi_dom_rad = atan2(sum_sin, sum_cos)
phi_dom_deg = phi_dom_rad × (180 / π)
Phase 4: Entanglement Matrix Population
For i = 0 to N-2:
For j = i+1 to N-1:
phi_i = osc_phases  × (π / 180)
phi_j = osc_phases  × (π / 180)
delta_phi = phi_i - phi_j
E = |cos(delta_phi)|
matrix_index_ij = i × N + j
matrix_index_ji = j × N + i
entangle_matrix  = E
entangle_matrix  = E
if E >= threshold:
  entangled_pairs += 1
The matrix uses flat array storage with index mapping: index(row, col) = row × N + col.
 Phase 5: Phase-Lock Check 
max_spread = 0
For i = 0 to N-2:
For j = i+1 to N-1:
delta = |osc_phases  - osc_phases |
if delta > 180:
delta = 360 - delta
max_spread = max(max_spread, delta)
phase_locked = (max_spread < tolerance)
 Phase 6: Signal Evaluation 
 Ignition Long :
ignition_long = (CI crosses above threshold) AND
(phi_dom > -90 AND phi_dom < 90) AND
phase_locked AND
(entangled_pairs >= minimum)
 Ignition Short :
ignition_short = (CI crosses above threshold) AND
(phi_dom < -90 OR phi_dom > 90) AND
phase_locked AND
(entangled_pairs >= minimum)
 Collapse :
CI_prev = CI 
collapse = (CI_prev - CI > collapse_threshold) AND (CI_prev > 0.6)
All signals are evaluated on bar close. The crossover and crossunder functions ensure signals fire only once when conditions transition from false to true.
 Phase 7: Field Strength and Visualization Metrics 
 Average Amplitude :
avg_amp = (Σ osc_amps ) / N
 Field Strength :
field_strength = CI × avg_amp
 Collapse Risk  (for dashboard):
collapse_risk = (CI  - CI) / max(CI , 0.1)
collapse_risk_pct = clamp(collapse_risk × 100, 0, 100)
 Quantum State Classification :
if (CI > threshold AND phase_locked):
state = "Ignition"
else if (CI > 0.6):
state = "Coherent"
else if (collapse):
state = "Collapse"
else:
state = "Chaos"
 Phase 8: Visual Rendering 
 Orbit Plot : For each oscillator, convert polar (phase, amplitude) to Cartesian (x, y) for grid placement:
radius = amplitude × grid_center × 0.8
x = radius × cos(phase × π/180)
y = radius × sin(phase × π/180)
col = center + x (mapped to grid coordinates)
row = center - y
 Heat Map : For each oscillator row and time column, retrieve historical phase value at lookback = (columns - col) × sample_rate, then map phase to color using a hue gradient.
 Entanglement Web : Render matrix  as table cell with background color opacity = E(i,j).
 Field Cloud : Background color = (phi_dom > -90 AND phi_dom < 90) ? green : red, with opacity = mix(min_opacity, max_opacity, CI).
All visual components render only on the last bar (barstate.islast) to minimize computational overhead.
 How to Use This Indicator 
 Step 1 : Apply QRFM to your chart. It works on all timeframes and asset classes, though 15-minute to 4-hour timeframes provide the best balance of responsiveness and noise reduction.
 Step 2 : Enable the dashboard (default: top right) and the circular orbit plot (default: middle left). These are your primary visual feedback tools.
 Step 3 : Optionally enable the heat map, entanglement web, and field cloud based on your preference. New users may find all visuals overwhelming; start with dashboard + orbit plot.
 Step 4 : Observe for 50-100 bars to let the indicator establish baseline coherence patterns. Markets have different "normal" CI ranges—some instruments naturally run higher or lower coherence.
 Understanding the Circular Orbit Plot 
The orbit plot is a polar grid showing oscillator vectors in real-time:
 Center point : Neutral (zero phase and amplitude)
 Each vector : A line from center to a point on the grid
 Vector angle : The oscillator's phase (0° = right/east, 90° = up/north, 180° = left/west, -90° = down/south)
 Vector length : The oscillator's amplitude (short = weak signal, long = strong signal)
 Vector label : First letter of oscillator name (R = RSI, M = MACD, etc.)
 What to watch :
 Convergence : When all vectors cluster in one quadrant or sector, CI is rising and coherence is forming. This is your pre-signal warning.
 Scatter : When vectors point in random directions (360° spread), CI is low and the market is in a non-trending or transitional regime.
 Rotation : When the cluster rotates smoothly around the circle, the ensemble is in coherent oscillation—typically seen during steady trends.
 Sudden flips : When the cluster rapidly jumps from one side to the opposite (e.g., +90° to -90°), a phase reversal has occurred—often coinciding with trend reversals.
Example: If you see RSI, MACD, and Stochastic all pointing toward 45° (northeast) with long vectors, while CCI, TSI, and ROC point toward 40-50° as well, coherence is high and dominant phase is bullish. Expect an ignition signal if CI crosses threshold.
 Reading Dashboard Metrics 
The dashboard provides numerical confirmation of what the orbit plot shows visually:
 CI : Displays as 0-100%. Above 70% = high coherence (strong regime), 40-70% = moderate, below 40% = low (poor conditions for trend entries).
 Dom Phase : Angle in degrees with directional arrow. ⬆ = bullish bias, ⬇ = bearish bias, ⬌ = neutral.
 Field Strength : CI weighted by amplitude. High values (> 0.6) indicate not just alignment but  strong  alignment.
 Entangled Pairs : Count of oscillator pairs with E > threshold. Higher = more confirmation. If minimum is set to 4, you need at least 4 pairs entangled for signals.
 Phase Lock : 🔒 YES (all oscillators within tolerance) or 🔓 NO (spread too wide).
 State : Real-time classification:
🚀 IGNITION: CI just crossed threshold with phase-lock
⚡ COHERENT: CI is high and stable
💥 COLLAPSE: CI has dropped sharply
🌀 CHAOS: Low CI, scattered phases
 Collapse Risk : 0-100% scale based on recent CI change. Above 50% warns of imminent breakdown.
Interpreting Signals
 Long Ignition (Blue Triangle Below Price) :
Occurs when CI crosses above threshold (e.g., 0.80)
Dominant phase is in bullish range (-90° to +90°)
All oscillators are phase-locked (within tolerance)
Minimum entangled pairs requirement met
 Interpretation : The oscillator ensemble has transitioned from disorder to coherent bullish alignment. This is a high-probability long entry point. The multi-layer confirmation (CI + phase direction + lock + entanglement) ensures this is not a single-oscillator whipsaw.
 Short Ignition (Red Triangle Above Price) :
Same conditions as long, but dominant phase is in bearish range (< -90° or > +90°)
 Interpretation : Coherent bearish alignment has formed. High-probability short entry.
 Collapse (Circles Above and Below Price) :
CI has dropped by more than the collapse threshold (e.g., 0.55) over a 5-bar window
CI was previously above 0.6 (collapsing from coherent state)
 Interpretation : Phase coherence has broken down. If you are in a position, this is an exit warning. If looking to enter, stand aside—regime is transitioning.
 Phase-Time Heat Map Patterns 
Enable the heat map and position it at bottom right. The rows represent individual oscillators, columns represent time bins (most recent on left).
 Pattern: Horizontal Color Bands 
If a row (e.g., RSI) shows consistent color across columns (say, green for several bins), that oscillator has maintained stable phase over time. If  all  rows show horizontal bands of similar color, the entire ensemble has been phase-locked for an extended period—this is a strong trending regime.
 Pattern: Vertical Color Bands 
If a column (single time bin) shows all cells with the same or very similar color, that moment in time had high coherence. These vertical bands often align with ignition signals or major price pivots.
 Pattern: Rainbow Chaos 
If cells are random colors (red, green, yellow mixed with no pattern), coherence is low. The ensemble is scattered. Avoid trading during these periods unless you have external confirmation.
 Pattern: Color Transition 
If you see a row transition from red to green (or vice versa) sharply, that oscillator has phase-flipped. If multiple rows do this simultaneously, a regime change is underway.
 Entanglement Web Analysis 
Enable the web matrix (default: opposite corner from heat map). It shows an N×N grid where N = number of active oscillators.
 Bright Yellow/Gold Cells : High pairwise entanglement. For example, if the RSI-MACD cell is bright gold, those two oscillators are moving in phase. If the RSI-Stochastic cell is bright, they are entangled as well.
 Dark Gray Cells : Low entanglement. Oscillators are decorrelated or in quadrature.
 Diagonal : Always marked with "—" because an oscillator is always perfectly entangled with itself.
 How to use :
Scan for clustering: If most cells are bright, coherence is high across the board. If only a few cells are bright, coherence is driven by a subset (e.g., RSI and MACD are aligned, but nothing else is—weak signal).
Identify laggards: If one row/column is entirely dark, that oscillator is the outlier. You may choose to disable it or monitor for when it joins the group (late confirmation).
Watch for web formation: During low-coherence periods, the matrix is mostly dark. As coherence builds, cells begin lighting up. A sudden "web" of connections forming visually precedes ignition signals.
Trading Workflow
 Step 1: Monitor Coherence Level 
Check the dashboard CI metric or observe the orbit plot. If CI is below 40% and vectors are scattered, conditions are poor for trend entries. Wait.
 Step 2: Detect Coherence Building 
When CI begins rising (say, from 30% to 50-60%) and you notice vectors on the orbit plot starting to cluster, coherence is forming. This is your alert phase—do not enter yet, but prepare.
 Step 3: Confirm Phase Direction 
Check the dominant phase angle and the orbit plot quadrant where clustering is occurring:
Clustering in right half (0° to ±90°): Bullish bias forming
Clustering in left half (±90° to 180°): Bearish bias forming
Verify the dashboard shows the corresponding directional arrow (⬆ or ⬇).
 Step 4: Wait for Signal Confirmation 
Do  not  enter based on rising CI alone. Wait for the full ignition signal:
CI crosses above threshold
Phase-lock indicator shows 🔒 YES
Entangled pairs count >= minimum
Directional triangle appears on chart
This ensures all layers have aligned.
 Step 5: Execute Entry 
 Long : Blue triangle below price appears → enter long
 Short : Red triangle above price appears → enter short
 Step 6: Position Management 
 Initial Stop : Place stop loss based on your risk management rules (e.g., recent swing low/high, ATR-based buffer).
 Monitoring :
Watch the field cloud density. If it remains opaque and colored in your direction, the regime is intact.
Check dashboard collapse risk. If it rises above 50%, prepare for exit.
Monitor the orbit plot. If vectors begin scattering or the cluster flips to the opposite side, coherence is breaking.
 Exit Triggers :
Collapse signal fires (circles appear)
Dominant phase flips to opposite half-plane
CI drops below 40% (coherence lost)
Price hits your profit target or trailing stop
 Step 7: Post-Exit Analysis 
After exiting, observe whether a new ignition forms in the opposite direction (reversal) or if CI remains low (transition to range). Use this to decide whether to re-enter, reverse, or stand aside.
 Best Practices 
 Use Price Structure as Context 
QRFM identifies  when  coherence forms but does not specify  where  price will go. Combine ignition signals with support/resistance levels, trendlines, or chart patterns. For example:
Long ignition near a major support level after a pullback: high-probability bounce
Long ignition in the middle of a range with no structure: lower probability
 Multi-Timeframe Confirmation 
 Open QRFM on two timeframes simultaneously: 
Higher timeframe (e.g., 4-hour): Use CI level to determine regime bias. If 4H CI is above 60% and dominant phase is bullish, the market is in a bullish regime.
Lower timeframe (e.g., 15-minute): Execute entries on ignition signals that align with the higher timeframe bias.
This prevents counter-trend trades and increases win rate.
 Distinguish Between Regime Types 
 High CI, stable dominant phase (State: Coherent) : Trending market. Ignitions are continuation signals; collapses are profit-taking or reversal warnings.
 Low CI, erratic dominant phase (State: Chaos) : Ranging or choppy market. Avoid ignition signals or reduce position size. Wait for coherence to establish.
 Moderate CI with frequent collapses : Whipsaw environment. Use wider stops or stand aside.
 Adjust Parameters to Instrument and Timeframe 
 Crypto/Forex (high volatility) : Lower ignition threshold (0.65-0.75), lower CI smoothing (2-3), shorter oscillator lengths (7-10).
 Stocks/Indices (moderate volatility) : Standard settings (threshold 0.75-0.85, smoothing 5-7, oscillator lengths 14).
 Lower timeframes (5-15 min) : Reduce phase sample rate to 1-2 for responsiveness.
 Higher timeframes (daily+) : Increase CI smoothing and oscillator lengths for noise reduction.
 Use Entanglement Count as Conviction Filter 
 The minimum entangled pairs setting controls signal strictness: 
 Low (1-2) : More signals, lower quality (acceptable if you have other confirmation)
 Medium (3-5) : Balanced (recommended for most traders)
 High (6+) : Very strict, fewer signals, highest quality
Adjust based on your trade frequency preference and risk tolerance.
 Monitor Oscillator Contribution 
Use the entanglement web to see which oscillators are driving coherence. If certain oscillators are consistently dark (low E with all others), they may be adding noise. Consider disabling them. For example:
On low-volume instruments, MFI may be unreliable → disable MFI
On strongly trending instruments, mean-reversion oscillators (Stochastic, RSI) may lag → reduce weight or disable
 Respect the Collapse Signal 
Collapse events are early warnings. Price may continue in the original direction for several bars after collapse fires, but the underlying regime has weakened. Best practice:
If in profit: Take partial or full profit on collapse
If at breakeven/small loss: Exit immediately
If collapse occurs shortly after entry: Likely a false ignition; exit to avoid drawdown
Collapses do not guarantee immediate reversals—they signal  uncertainty .
 Combine with Volume Analysis 
If your instrument has reliable volume:
Ignitions with expanding volume: Higher conviction
Ignitions with declining volume: Weaker, possibly false
Collapses with volume spikes: Strong reversal signal
Collapses with low volume: May just be consolidation
Volume is not built into QRFM (except via MFI), so add it as external confirmation.
 Observe the Phase Spiral 
The spiral provides a quick visual cue for rotation consistency:
 Tight, smooth spiral : Ensemble is rotating coherently (trending)
 Loose, erratic spiral : Phase is jumping around (ranging or transitional)
If the spiral tightens, coherence is building. If it loosens, coherence is dissolving.
 Do Not Overtrade Low-Coherence Periods 
When CI is persistently below 40% and the state is "Chaos," the market is not in a regime where phase analysis is predictive. During these times:
Reduce position size
Widen stops
Wait for coherence to return
QRFM's strength is regime detection. If there is no regime, the tool correctly signals "stand aside."
 Use Alerts Strategically 
 Set alerts for: 
Long Ignition
Short Ignition
Collapse
Phase Lock (optional)
Configure alerts to "Once per bar close" to avoid intrabar repainting and noise. When an alert fires, manually verify:
Orbit plot shows clustering
Dashboard confirms all conditions
Price structure supports the trade
Do not blindly trade alerts—use them as prompts for analysis.
Ideal Market Conditions
Best Performance
 Instruments :
Liquid, actively traded markets (major forex pairs, large-cap stocks, major indices, top-tier crypto)
Instruments with clear cyclical oscillator behavior (avoid extremely illiquid or manipulated markets)
 Timeframes :
15-minute to 4-hour: Optimal balance of noise reduction and responsiveness
1-hour to daily: Slower, higher-conviction signals; good for swing trading
5-minute: Acceptable for scalping if parameters are tightened and you accept more noise
 Market Regimes :
Trending markets with periodic retracements (where oscillators cycle through phases predictably)
Breakout environments (coherence forms before/during breakout; collapse occurs at exhaustion)
Rotational markets with clear swings (oscillators phase-lock at turning points)
 Volatility :
Moderate to high volatility (oscillators have room to move through their ranges)
Stable volatility regimes (sudden VIX spikes or flash crashes may create false collapses)
Challenging Conditions
 Instruments :
Very low liquidity markets (erratic price action creates unstable oscillator phases)
Heavily news-driven instruments (fundamentals may override technical coherence)
Highly correlated instruments (oscillators may all reflect the same underlying factor, reducing independence)
 Market Regimes :
Deep, prolonged consolidation (oscillators remain near neutral, CI is chronically low, few signals fire)
Extreme chop with no directional bias (oscillators whipsaw, coherence never establishes)
Gap-driven markets (large overnight gaps create phase discontinuities)
 Timeframes :
Sub-5-minute charts: Noise dominates; oscillators flip rapidly; coherence is fleeting and unreliable
Weekly/monthly: Oscillators move extremely slowly; signals are rare; better suited for long-term positioning than active trading
 Special Cases :
During major economic releases or earnings: Oscillators may lag price or become decorrelated as fundamentals overwhelm technicals. Reduce position size or stand aside.
In extremely low-volatility environments (e.g., holiday periods): Oscillators compress to neutral, CI may be artificially high due to lack of movement, but signals lack follow-through.
Adaptive Behavior
QRFM is designed to self-adapt to poor conditions:
When coherence is genuinely absent, CI remains low and signals do not fire
When only a subset of oscillators aligns, entangled pairs count stays below threshold and signals are filtered out
When phase-lock cannot be achieved (oscillators too scattered), the lock filter prevents signals
This means the indicator will naturally produce fewer (or zero) signals during unfavorable conditions, rather than generating false signals. This is a  feature —it keeps you out of low-probability trades.
Parameter Optimization by Trading Style
Scalping (5-15 Minute Charts)
 Goal : Maximum responsiveness, accept higher noise
 Oscillator Lengths :
RSI: 7-10
MACD: 8/17/6
Stochastic: 8-10, smooth 2-3
CCI: 14-16
Others: 8-12
 Coherence Settings :
CI Smoothing Window: 2-3 bars (fast reaction)
Phase Sample Rate: 1 (every bar)
Ignition Threshold: 0.65-0.75 (lower for more signals)
Collapse Threshold: 0.40-0.50 (earlier exit warnings)
 Confirmation :
Phase Lock Tolerance: 40-50° (looser, easier to achieve)
Min Entangled Pairs: 2-3 (fewer oscillators required)
 Visuals :
Orbit Plot + Dashboard only (reduce screen clutter for fast decisions)
Disable heavy visuals (heat map, web) for performance
 Alerts :
Enable all ignition and collapse alerts
Set to "Once per bar close"
Day Trading (15-Minute to 1-Hour Charts)
 Goal : Balance between responsiveness and reliability
 Oscillator Lengths :
RSI: 14 (standard)
MACD: 12/26/9 (standard)
Stochastic: 14, smooth 3
CCI: 20
Others: 10-14
 Coherence Settings :
CI Smoothing Window: 3-5 bars (balanced)
Phase Sample Rate: 2-3
Ignition Threshold: 0.75-0.85 (moderate selectivity)
Collapse Threshold: 0.50-0.55 (balanced exit timing)
 Confirmation :
Phase Lock Tolerance: 30-40° (moderate tightness)
Min Entangled Pairs: 4-5 (reasonable confirmation)
 Visuals :
Orbit Plot + Dashboard + Heat Map or Web (choose one)
Field Cloud for regime backdrop
 Alerts :
Ignition and collapse alerts
Optional phase-lock alert for advance warning
Swing Trading (4-Hour to Daily Charts)
 Goal : High-conviction signals, minimal noise, fewer trades
 Oscillator Lengths :
RSI: 14-21
MACD: 12/26/9 or 19/39/9 (longer variant)
Stochastic: 14-21, smooth 3-5
CCI: 20-30
Others: 14-20
 Coherence Settings :
CI Smoothing Window: 5-10 bars (very smooth)
Phase Sample Rate: 3-5
Ignition Threshold: 0.80-0.90 (high bar for entry)
Collapse Threshold: 0.55-0.65 (only significant breakdowns)
 Confirmation :
Phase Lock Tolerance: 20-30° (tight clustering required)
Min Entangled Pairs: 5-7 (strong confirmation)
 Visuals :
All modules enabled (you have time to analyze)
Heat Map for multi-bar pattern recognition
Web for deep confirmation analysis
 Alerts :
Ignition and collapse
Review manually before entering (no rush)
Position/Long-Term Trading (Daily to Weekly Charts)
 Goal : Rare, very high-conviction regime shifts
 Oscillator Lengths :
RSI: 21-30
MACD: 19/39/9 or 26/52/12
Stochastic: 21, smooth 5
CCI: 30-50
Others: 20-30
 Coherence Settings :
CI Smoothing Window: 10-14 bars
Phase Sample Rate: 5 (every 5th bar to reduce computation)
Ignition Threshold: 0.85-0.95 (only extreme alignment)
Collapse Threshold: 0.60-0.70 (major regime breaks only)
 Confirmation :
Phase Lock Tolerance: 15-25° (very tight)
Min Entangled Pairs: 6+ (broad consensus required)
 Visuals :
Dashboard + Orbit Plot for quick checks
Heat Map to study historical coherence patterns
Web to verify deep entanglement
 Alerts :
Ignition only (collapses are less critical on long timeframes)
Manual review with fundamental analysis overlay
Performance Optimization (Low-End Systems)
If you experience lag or slow rendering:
 Reduce Visual Load :
Orbit Grid Size: 8-10 (instead of 12+)
Heat Map Time Bins: 5-8 (instead of 10+)
Disable Web Matrix entirely if not needed
Disable Field Cloud and Phase Spiral
 Reduce Calculation Frequency :
Phase Sample Rate: 5-10 (calculate every 5-10 bars)
Max History Depth: 100-200 (instead of 500+)
 Disable Unused Oscillators :
If you only want RSI, MACD, and Stochastic, disable the other five. Fewer oscillators = smaller matrices, faster loops.
 Simplify Dashboard :
Choose "Small" dashboard size
Reduce number of metrics displayed
These settings will not significantly degrade signal quality (signals are based on bar-close calculations, which remain accurate), but will improve chart responsiveness.
Important Disclaimers
This indicator is a technical analysis tool designed to identify periods of phase coherence across an ensemble of oscillators. It is  not  a standalone trading system and does not guarantee profitable trades. The Coherence Index, dominant phase, and entanglement metrics are mathematical calculations applied to historical price data—they measure past oscillator behavior and do not predict future price movements with certainty.
 No Predictive Guarantee : High coherence indicates that oscillators are currently aligned, which historically has coincided with trending or directional price movement. However, past alignment does not guarantee future trends. Markets can remain coherent while prices consolidate, or lose coherence suddenly due to news, liquidity changes, or other factors not captured by oscillator mathematics.
 Signal Confirmation is Probabilistic : The multi-layer confirmation system (CI threshold + dominant phase + phase-lock + entanglement) is designed to filter out low-probability setups. This increases the proportion of valid signals relative to false signals, but does not eliminate false signals entirely. Users should combine QRFM with additional analysis—support and resistance levels, volume confirmation, multi-timeframe alignment, and fundamental context—before executing trades.
 Collapse Signals are Warnings, Not Reversals : A coherence collapse indicates that the oscillator ensemble has lost alignment. This often precedes trend exhaustion or reversals, but can also occur during healthy pullbacks or consolidations. Price may continue in the original direction after a collapse. Use collapses as risk management cues (tighten stops, take partial profits) rather than automatic reversal entries.
 Market Regime Dependency : QRFM performs best in markets where oscillators exhibit cyclical, mean-reverting behavior and where trends are punctuated by retracements. In markets dominated by fundamental shocks, gap openings, or extreme low-liquidity conditions, oscillator coherence may be less reliable. During such periods, reduce position size or stand aside.
 Risk Management is Essential : All trading involves risk of loss. Use appropriate stop losses, position sizing, and risk-per-trade limits. The indicator does not specify stop loss or take profit levels—these must be determined by the user based on their risk tolerance and account size. Never risk more than you can afford to lose.
 Parameter Sensitivity : The indicator's behavior changes with input parameters. Aggressive settings (low thresholds, loose tolerances) produce more signals with lower average quality. Conservative settings (high thresholds, tight tolerances) produce fewer signals with higher average quality. Users should backtest and forward-test parameter sets on their specific instruments and timeframes before committing real capital.
 No Repainting by Design : All signal conditions are evaluated on bar close using bar-close values. However, the visual components (orbit plot, heat map, dashboard) update in real-time during bar formation for monitoring purposes. For trade execution, rely on the confirmed signals (triangles and circles) that appear only after the bar closes.
 Computational Load : QRFM performs extensive calculations, including nested loops for entanglement matrices and real-time table rendering. On lower-powered devices or when running multiple indicators simultaneously, users may experience lag. Use the performance optimization settings (reduce visual complexity, increase phase sample rate, disable unused oscillators) to improve responsiveness.
This system is most effective when used as  one component  within a broader trading methodology that includes sound risk management, multi-timeframe analysis, market context awareness, and disciplined execution. It is a tool for regime detection and signal confirmation, not a substitute for comprehensive trade planning.
Technical Notes
 Calculation Timing : All signal logic (ignition, collapse) is evaluated using bar-close values. The barstate.isconfirmed or implicit bar-close behavior ensures signals do not repaint. Visual components (tables, plots) render on every tick for real-time feedback but do not affect signal generation.
 Phase Wrapping : Phase angles are calculated in the range -180° to +180° using atan2. Angular distance calculations account for wrapping (e.g., the distance between +170° and -170° is 20°, not 340°). This ensures phase-lock detection works correctly across the ±180° boundary.
 Array Management : The indicator uses fixed-size arrays for oscillator phases, amplitudes, and the entanglement matrix. The maximum number of oscillators is 8. If fewer oscillators are enabled, array sizes shrink accordingly (only active oscillators are processed).
 Matrix Indexing : The entanglement matrix is stored as a flat array with size N×N, where N is the number of active oscillators. Index mapping: index(row, col) = row × N + col. Symmetric pairs (i,j) and (j,i) are stored identically.
 Normalization Stability : Oscillators are normalized to   using fixed reference levels (e.g., RSI overbought/oversold at 70/30). For unbounded oscillators (MACD, ROC, TSI), statistical normalization (division by rolling standard deviation) is used, with clamping to prevent extreme outliers from distorting phase calculations.
 Smoothing and Lag : The CI smoothing window (SMA) introduces lag proportional to the window size. This is intentional—it filters out single-bar noise spikes in coherence. Users requiring faster reaction can reduce the smoothing window to 1-2 bars, at the cost of increased sensitivity to noise.
 Complex Number Representation : Pine Script does not have native complex number types. Complex arithmetic is implemented using separate real and imaginary accumulators (sum_cos, sum_sin) and manual calculation of magnitude (sqrt(real² + imag²)) and argument (atan2(imag, real)).
 Lookback Limits : The indicator respects Pine Script's maximum lookback constraints. Historical phase and amplitude values are accessed using the   operator, with lookback limited to the chart's available bar history (max_bars_back=5000 declared).
 Visual Rendering Performance : Tables (orbit plot, heat map, web, dashboard) are conditionally deleted and recreated on each update using table.delete() and table.new(). This prevents memory leaks but incurs redraw overhead. Rendering is restricted to barstate.islast (last bar) to minimize computational load—historical bars do not render visuals.
 Alert Condition Triggers : alertcondition() functions evaluate on bar close when their boolean conditions transition from false to true. Alerts do not fire repeatedly while a condition remains true (e.g., CI stays above threshold for 10 bars fires only once on the initial cross).
 Color Gradient Functions : The phaseColor() function maps phase angles to RGB hues using sine waves offset by 120° (red, green, blue channels). This creates a continuous spectrum where -180° to +180° spans the full color wheel. The amplitudeColor() function maps amplitude to grayscale intensity. The coherenceColor() function uses cos(phase) to map contribution to CI (positive = green, negative = red).
 No External Data Requests : QRFM operates entirely on the chart's symbol and timeframe. It does not use request.security() or access external data sources. All calculations are self-contained, avoiding lookahead bias from higher-timeframe requests.
 Deterministic Behavior : Given identical input parameters and price data, QRFM produces identical outputs. There are no random elements, probabilistic sampling, or time-of-day dependencies.
— Dskyz, Engineering precision. Trading coherence.
Historical Matrix Analyzer [PhenLabs]📊Historical Matrix Analyzer  
 Version:  PineScriptv6
 📌Description 
The Historical Matrix Analyzer is an advanced probabilistic trading tool that transforms technical analysis into a data-driven decision support system. By creating a comprehensive 56-cell matrix that tracks every combination of RSI states and multi-indicator conditions, this indicator reveals which market patterns have historically led to profitable outcomes and which have not.
At its core, the indicator continuously monitors seven distinct RSI states (ranging from Extreme Oversold to Extreme Overbought) and eight unique indicator combinations (MACD direction, volume levels, and price momentum). For each of these 56 possible market states, the system calculates average forward returns, win rates, and occurrence counts based on your configurable lookback period. The result is a color-coded probability matrix that shows you exactly where you stand in the historical performance landscape.
The standout feature is the Current State Panel, which provides instant clarity on your active market conditions. This panel displays signal strength classifications (from Strong Bullish to Strong Bearish), the average return percentage for similar past occurrences, an estimated win rate using Bayesian smoothing to prevent small-sample distortions, and a confidence level indicator that warns you when insufficient data exists for reliable conclusions.
 🚀Points of Innovation 
 
 Multi-dimensional state classification combining 7 RSI levels with 8 indicator combinations for 56 unique trackable market conditions
 Bayesian win rate estimation with adjustable smoothing strength to provide stable probability estimates even with limited historical samples
 Real-time active cell highlighting with “NOW” marker that visually connects current market conditions to their historical performance data
 Configurable color intensity sensitivity allowing traders to adjust heat-map responsiveness from conservative to aggressive visual feedback
 Dual-panel display system separating the comprehensive statistics matrix from an easy-to-read current state summary panel
 Intelligent confidence scoring that automatically warns traders when occurrence counts fall below reliable thresholds
 
 🔧Core Components 
 
 RSI State Classification:  Segments RSI readings into 7 distinct zones (Extreme Oversold <20, Oversold 20-30, Weak 30-40, Neutral 40-60, Strong 60-70, Overbought 70-80, Extreme Overbought >80) to capture momentum extremes and transitions
 Multi-Indicator Condition Tracking:  Simultaneously monitors MACD crossover status (bullish/bearish), volume relative to moving average (high/low), and price direction (rising/falling) creating 8 binary-encoded combinations
 Historical Data Storage Arrays:  Maintains rolling lookback windows storing RSI states, indicator states, prices, and bar indices for precise forward-return calculations
 Forward Performance Calculator:  Measures price changes over configurable forward bar periods (1-20 bars) from each historical state, accumulating total returns and win counts per matrix cell
 Bayesian Smoothing Engine:  Applies statistical prior assumptions (default 50% win rate) weighted by user-defined strength parameter to stabilize estimated win rates when sample sizes are small
 Dynamic Color Mapping System:  Converts average returns into color-coded heat map with intensity adjusted by sensitivity parameter and transparency modified by confidence levels
 
 🔥Key Features 
 
 56-Cell Probability Matrix:  Comprehensive grid displaying every possible combination of RSI state and indicator condition, with each cell showing average return percentage, estimated win rate, and occurrence count for complete statistical visibility
 Current State Info Panel:  Dedicated display showing your exact position in the matrix with signal strength emoji indicators, numerical statistics, and color-coded confidence warnings for immediate situational awareness
 Customizable Lookback Period:  Adjustable historical window from 50 to 500 bars allowing traders to focus on recent market behavior or capture longer-term pattern stability across different market cycles
 Configurable Forward Performance Window:  Select target holding periods from 1 to 20 bars ahead to align probability calculations with your trading timeframe, whether day trading or swing trading
 Visual Heat Mapping:  Color-coded cells transition from red (bearish historical performance) through gray (neutral) to green (bullish performance) with intensity reflecting statistical significance and occurrence frequency
 Intelligent Data Filtering:  Minimum occurrence threshold (1-10) removes unreliable patterns with insufficient historical samples, displaying gray warning colors for low-confidence cells
 Flexible Layout Options:  Independent positioning of statistics matrix and info panel to any screen corner, accommodating different chart layouts and personal preferences
 Tooltip Details:  Hover over any matrix cell to see full RSI label, complete indicator status description, precise average return, estimated win rate, and total occurrence count
 
 🎨Visualization 
 
 Statistics Matrix Table:  A 9-column by 8-row grid with RSI states labeling vertical axis and indicator combinations on horizontal axis, using compact abbreviations (XOverS, OverB, MACD↑, Vol↓, P↑) for space efficiency
 Active Cell Indicator:  The current market state cell displays “⦿ NOW ⦿” in yellow text with enhanced color saturation to immediately draw attention to relevant historical performance
 Signal Strength Visualization:  Info panel uses emoji indicators (🔥 Strong Bullish, ✅ Bullish, ↗️ Weak Bullish, ➖ Neutral, ↘️ Weak Bearish, ⛔ Bearish, ❄️ Strong Bearish, ⚠️ Insufficient Data) for rapid interpretation
 Histogram Plot:  Below the price chart, a green/red histogram displays the current cell’s average return percentage, providing a time-series view of how historical performance changes as market conditions evolve
 Color Intensity Scaling:  Cell background transparency and saturation dynamically adjust based on both the magnitude of average returns and the occurrence count, ensuring visual emphasis on reliable patterns
 Confidence Level Display:  Info panel bottom row shows “High Confidence” (green), “Medium Confidence” (orange), or “Low Confidence” (red) based on occurrence counts relative to minimum threshold multipliers
 
 📖Usage Guidelines 
 RSI Period 
 
 Default: 14
 Range: 1 to unlimited
 Description: Controls the lookback period for RSI momentum calculation. Standard 14-period provides widely-recognized overbought/oversold levels. Decrease for faster, more sensitive RSI reactions suitable for scalping. Increase (21, 28) for smoother, longer-term momentum assessment in swing trading. Changes affect how quickly the indicator moves between the 7 RSI state classifications.
 
 MACD Fast Length 
 
 Default: 12
 Range: 1 to unlimited
 Description: Sets the faster exponential moving average for MACD calculation. Standard 12-period setting works well for daily charts and captures short-term momentum shifts. Decreasing creates more responsive MACD crossovers but increases false signals. Increasing smooths out noise but delays signal generation, affecting the bullish/bearish indicator state classification.
 
 MACD Slow Length 
 
 Default: 26
 Range: 1 to unlimited
 Description: Defines the slower exponential moving average for MACD calculation. Traditional 26-period setting balances trend identification with responsiveness. Must be greater than Fast Length. Wider spread between fast and slow increases MACD sensitivity to trend changes, impacting the frequency of indicator state transitions in the matrix.
 
 MACD Signal Length 
 
 Default: 9
 Range: 1 to unlimited
 Description: Smoothing period for the MACD signal line that triggers bullish/bearish state changes. Standard 9-period provides reliable crossover signals. Shorter values create more frequent state changes and earlier signals but with more whipsaws. Longer values produce more confirmed, stable signals but with increased lag in detecting momentum shifts.
 
 Volume MA Period 
 
 Default: 20
 Range: 1 to unlimited
 Description: Lookback period for volume moving average used to classify volume as “high” or “low” in indicator state combinations. 20-period default captures typical monthly trading patterns. Shorter periods (10-15) make volume classification more reactive to recent spikes. Longer periods (30-50) require more sustained volume changes to trigger state classification shifts.
 
 Statistics Lookback Period 
 
 Default: 200
 Range: 50 to 500
 Description: Number of historical bars used to calculate matrix statistics. 200 bars provides substantial data for reliable patterns while remaining responsive to regime changes. Lower values (50-100) emphasize recent market behavior and adapt quickly but may produce volatile statistics. Higher values (300-500) capture long-term patterns with stable statistics but slower adaptation to changing market dynamics.
 
 Forward Performance Bars 
 
 Default: 5
 Range: 1 to 20
 Description: Number of bars ahead used to calculate forward returns from each historical state occurrence. 5-bar default suits intraday to short-term swing trading (5 hours on hourly charts, 1 week on daily charts). Lower values (1-3) target short-term momentum trades. Higher values (10-20) align with position trading and longer-term pattern exploitation.
 
 Color Intensity Sensitivity 
 
 Default: 2.0
 Range: 0.5 to 5.0, step 0.5
 Description: Amplifies or dampens the color intensity response to average return magnitudes in the matrix heat map. 2.0 default provides balanced visual emphasis. Lower values (0.5-1.0) create subtle coloring requiring larger returns for full saturation, useful for volatile instruments. Higher values (3.0-5.0) produce vivid colors from smaller returns, highlighting subtle edges in range-bound markets.
 
 Minimum Occurrences for Coloring 
 
 Default: 3
 Range: 1 to 10
 Description: Required minimum sample size before applying color-coded performance to matrix cells. Cells with fewer occurrences display gray “insufficient data” warning. 3-occurrence default filters out rare patterns. Lower threshold (1-2) shows more data but includes unreliable single-event statistics. Higher thresholds (5-10) ensure only well-established patterns receive visual emphasis.
 
 Table Position 
 
 Default: top_right
 Options: top_left, top_right, bottom_left, bottom_right
 Description: Screen location for the 56-cell statistics matrix table. Position to avoid overlapping critical price action or other indicators on your chart. Consider chart orientation and candlestick density when selecting optimal placement.
 
 Show Current State Panel 
 
 Default: true
 Options: true, false
 Description: Toggle visibility of the dedicated current state information panel. When enabled, displays signal strength, RSI value, indicator status, average return, estimated win rate, and confidence level for active market conditions. Disable to declutter charts when only the matrix table is needed.
 
 Info Panel Position 
 
 Default: bottom_left
 Options: top_left, top_right, bottom_left, bottom_right
 Description: Screen location for the current state information panel (when enabled). Position independently from statistics matrix to optimize chart real estate. Typically placed opposite the matrix table for balanced visual layout.
 
 Win Rate Smoothing Strength 
 
 Default: 5
 Range: 1 to 20
 Description: Controls Bayesian prior weighting for estimated win rate calculations. Acts as virtual sample size assuming 50% win rate baseline. Default 5 provides moderate smoothing preventing extreme win rate estimates from small samples. Lower values (1-3) reduce smoothing effect, allowing win rates to reflect raw data more directly. Higher values (10-20) increase conservatism, pulling win rate estimates toward 50% until substantial evidence accumulates.
 
 ✅Best Use Cases 
 
 Pattern-based discretionary trading where you want historical confirmation before entering setups that “look good” based on current technical alignment
 Swing trading with holding periods matching your forward performance bar setting, using high-confidence bullish cells as entry filters
 Risk assessment and position sizing, allocating larger size to trades originating from cells with strong positive average returns and high estimated win rates
 Market regime identification by observing which RSI states and indicator combinations are currently producing the most reliable historical patterns
 Backtesting validation by comparing your manual strategy signals against the historical performance of the corresponding matrix cells
 Educational tool for developing intuition about which technical condition combinations have actually worked versus those that feel right but lack historical evidence
 
 ⚠️Limitations 
 
 Historical patterns do not guarantee future performance, especially during unprecedented market events or regime changes not represented in the lookback period
 Small sample sizes (low occurrence counts) produce unreliable statistics despite Bayesian smoothing, requiring caution when acting on low-confidence cells
 Matrix statistics lag behind rapidly changing market conditions, as the lookback period must accumulate new state occurrences before updating performance data
 Forward return calculations use fixed bar periods that may not align with actual trade exit timing, support/resistance levels, or volatility-adjusted profit targets
 
 💡What Makes This Unique 
 
 Multi-Dimensional State Space:  Unlike single-indicator tools, simultaneously tracks 56 distinct market condition combinations providing granular pattern resolution unavailable in traditional technical analysis
 Bayesian Statistical Rigor:  Implements proper probabilistic smoothing to prevent overconfidence from limited data, a critical feature missing from most pattern recognition tools
 Real-Time Contextual Feedback:  The “NOW” marker and dedicated info panel instantly connect current market conditions to their historical performance profile, eliminating guesswork
 Transparent Occurrence Counts:  Displays sample sizes directly in each cell, allowing traders to judge statistical reliability themselves rather than hiding data quality issues
 Fully Customizable Analysis Window:  Complete control over lookback depth and forward return horizons lets traders align the tool precisely with their trading timeframe and strategy requirements
 
 🔬How It Works 
 1. State Classification and Encoding 
 
 Each bar’s RSI value is evaluated and assigned to one of 7 discrete states based on threshold levels (0: <20, 1: 20-30, 2: 30-40, 3: 40-60, 4: 60-70, 5: 70-80, 6: >80)
 Simultaneously, three binary conditions are evaluated: MACD line position relative to signal line, current volume relative to its moving average, and current close relative to previous close
 These three binary conditions are combined into a single indicator state integer (0-7) using binary encoding, creating 8 possible indicator combinations
 The RSI state and indicator state are stored together, defining one of 56 possible market condition cells in the matrix
 
 2. Historical Data Accumulation 
 
 As each bar completes, the current state classification, closing price, and bar index are stored in rolling arrays maintained at the size specified by the lookback period
 When the arrays reach capacity, the oldest data point is removed and the newest added, creating a sliding historical window
 This continuous process builds a comprehensive database of past market conditions and their subsequent price movements
 
 3. Forward Return Calculation and Statistics Update 
 
 On each bar, the indicator looks back through the stored historical data to find bars where sufficient forward bars exist to measure outcomes
 For each historical occurrence, the price change from that bar to the bar N periods ahead (where N is the forward performance bars setting) is calculated as a percentage return
 This percentage return is added to the cumulative return total for the specific matrix cell corresponding to that historical bar’s state classification
 Occurrence counts are incremented, and wins are tallied for positive returns, building comprehensive statistics for each of the 56 cells
 The Bayesian smoothing formula combines these raw statistics with prior assumptions (neutral 50% win rate) weighted by the smoothing strength parameter to produce estimated win rates that remain stable even with small samples
 
 💡Note: 
The Historical Matrix Analyzer is designed as a decision support tool, not a standalone trading system. Best results come from using it to validate discretionary trade ideas or filter systematic strategy signals. Always combine matrix insights with proper risk management, position sizing rules, and awareness of broader market context. The estimated win rate feature uses Bayesian statistics specifically to prevent false confidence from limited data, but no amount of smoothing can create reliable predictions from fundamentally insufficient sample sizes. Focus on high-confidence cells (green-colored confidence indicators) with occurrence counts well above your minimum threshold for the most actionable insights.
多周期趋势动量面板加强版(Multi-Timeframe Trend Momentum Panel - User Guide)多周期趋势动量面板(Multi-Timeframe Trend Momentum Panel - User Guide)(english explanation follows.)
📖 指标功能详解 (精简版):
🎯 核心功能:
1. 多周期趋势分析 同时监控8个时间周期(1m/5m/15m/1H/4H/D/W/M)
2. 4维度投票系统 MA趋势+RSI动量+MACD+布林带综合判断
3. 全球交易时段 可视化亚洲/伦敦/纽约交易时间
4. 趋势强度评分 0100%量化市场力量
5. 智能警报 强势多空信号自动推送
________________________________________
📚 重要名词解释:
🔵 趋势状态 (MA均线分析):
名词 含义 信号强度
强势多头 快MA远高于慢MA(差值≥0.35%) ⭐⭐⭐⭐⭐ 做多
多头倾向 快MA略高于慢MA(差值<0.35%) ⭐⭐⭐ 谨慎做多
震荡 快慢MA缠绕,无明确方向 ⚠️ 观望
空头倾向 快MA略低于慢MA ⭐⭐⭐ 谨慎做空
强势空头 快MA远低于慢MA ⭐⭐⭐⭐⭐ 做空
简单理解: 快MA就像短跑运动员(反应快),慢MA是长跑运动员(稳定)。短跑远超长跑=强势多头,反之=强势空头。
________________________________________
🟠 动量状态 (RSI力度分析):
名词 含义 操作建议
动量上攻↗ RSI>60且快速上升 强烈买入信号
动量高位 RSI>60但上升变慢 警惕回调,可减仓
动量中性 RSI在4060之间,平稳 等待方向明确
动量低位 RSI<40但下跌变慢 警惕反弹,可止盈
动量下压↘ RSI<40且快速下降 强烈卖出信号
简单理解: RSI就像汽车速度表。"动量上攻"=油门踩到底加速,"动量高位"=已经很快但不再加速了。
________________________________________
🟣 辅助信号:
MACD:
• MACD多头 = 柱状图>0 = 买方力量强
• MACD空头 = 柱状图<0 = 卖方力量强
布林带(BB):
• BB超买 = 价格在布林带上轨附近 = 可能回调
• BB超卖 = 价格在布林带下轨附近 = 可能反弹
• BB中轨 = 价格在中间位置 = 平衡状态
________________________________________
💡 快速上手 3步看懂面板:
第1步: 看"综合结论标签" (K线上方)
• 绿色"多头占优" → 可以做多
• 红色"空头占优" → 可以做空
• 橙色"震荡/均衡" → 观望
第2步: 看"票数 多/空" (面板最下方)
• 多头票数远大于空头 (差距>2) → 趋势强
• 票数接近 (差距<1) → 震荡市
第3步: 看"趋势强度" (综合标签中)
• 强度>70% → 强势趋势,可重仓
• 强度5070% → 中等趋势,正常仓位
• 强度<50% → 弱势,轻仓或观望
________________________________________
🎨 时段背景色含义:
• 紫色背景 = 亚洲时段 (东京交易时间) 波动较小
• 橙色背景 = 伦敦时段 (欧洲交易时间) 波动增大
• 蓝色背景 = 纽约凌晨 美盘准备阶段
• 红色背景 = 纽约关键5分钟 (09:3009:35) ⚠️ 最重要! 市场最活跃,趋势易形成
• 绿色背景 = 纽约上午后段 延续早盘趋势
交易建议: 重点关注红色关键时段,这5分钟往往决定全天方向!
________________________________________
⚙️ 三大市场推荐设置
🥇 黄金: Hull MA 12/EMA 34, 阈值0.250.35%
₿ 比特币: EMA 21/EMA 55, 阈值0.801.20%
💎 以太坊: TEMA 21/EMA 55, 阈值0.600.80%
参数优化建议
黄金 (XAUUSD)
快速MA: Hull MA 12 (超灵敏捕捉黄金快速波动)
慢速MA: EMA 34 (斐波那契数列)
RSI周期: 9 (加快反应)
强趋势阈值: 0.25%
周期: 5, 15, 60, 240, 1440
比特币 (BTCUSD)
快速MA: EMA 21
慢速MA: EMA 55
RSI周期: 14
强趋势阈值: 0.8% (波动大,阈值需提高)
周期: 15, 60, 240, D, W
外汇 EUR/USD
快速MA: TEMA 10 (快速响应)
慢速MA: T3 30, 因子0.7 (平滑噪音)
RSI周期: 14
强趋势阈值: 0.08% (外汇波动小)
周期: 5, 15, 60, 240, 1440
📖 Indicator Function Details (Concise Version):
🎯 Core Functions:
1. MultiTimeframe Trend Analysis Monitors 8 timeframes simultaneously (1m/5m/15m/1H/4H/D/W/M)
2. 4Dimensional Voting System Comprehensive judgment based on MA trend + RSI momentum + MACD + Bollinger Bands
3. Global Trading Sessions Visualizes Asia/London/New York trading hours
4. Trend Strength Score Quantifies market strength from 0100%
5. Smart Alerts Automatically pushes strong bullish/bearish signals
📚 Key Term Explanations:
🔵 Trend Status (MA Analysis):
| Term | Meaning | Signal Strength |
| | | |
| Strong Bull | Fast MA significantly > Slow MA (Diff ≥0.35%) | ⭐⭐⭐⭐⭐ Long |
| Bullish Bias | Fast MA slightly > Slow MA (Diff <0.35%) | ⭐⭐⭐ Caution Long |
| Ranging | MAs intertwined, no clear direction | ⚠️ Wait & See |
| Bearish Bias | Fast MA slightly < Slow MA | ⭐⭐⭐ Caution Short |
| Strong Bear | Fast MA significantly < Slow MA | ⭐⭐⭐⭐⭐ Short |
Simple Understanding: Fast MA = sprinter (fast reaction), Slow MA = longdistance runner (stable). Sprinter far ahead = Strong Bull, opposite = Strong Bear.
🟠 Momentum Status (RSI Analysis):
| Term | Meaning | Trading Suggestion |
| | | |
| Momentum Up ↗ | RSI >60 & rising rapidly | Strong Buy Signal |
| Momentum High | RSI >60 but rising slower | Watch for pullback, consider reducing position |
| Momentum Neutral | RSI between 4060, stable | Wait for clearer direction |
| Momentum Low | RSI <40 but falling slower | Watch for rebound, consider taking profit |
| Momentum Down ↘ | RSI <40 & falling rapidly | Strong Sell Signal |
Simple Understanding: RSI = car speedometer. "Momentum Up" = full throttle acceleration, "Momentum High" = already fast but not accelerating further.
🟣 Auxiliary Signals:
MACD:
MACD Bullish = Histogram >0 = Strong buyer power
MACD Bearish = Histogram <0 = Strong seller power
Bollinger Bands (BB):
BB Overbought = Price near upper band = Possible pullback
BB Oversold = Price near lower band = Possible rebound
BB Middle = Price near middle band = Balanced state
💡 Quick Start 3 Steps to Understand the Panel:
Step 1: Check "Composite Conclusion Label" (Above the chart)
Green "Bulls Favored" → Consider Long
Red "Bears Favored" → Consider Short
Orange "Ranging/Balanced" → Wait & See
Step 2: Check "Votes Bull/Bear" (Bottom of the panel)
Bull votes significantly > Bear votes (Difference >2) → Strong Trend
Votes close (Difference <1) → Ranging Market
Step 3: Check "Trend Strength" (In the composite label)
Strength >70% → Strong Trend, consider heavier position
Strength 5070% → Moderate Trend, normal position size
Strength <50% → Weak Trend, light position or wait & see
🎨 Trading Session Background Color Meanings:
Purple = Asian Session (Tokyo hours) Lower volatility
Orange = London Session (European hours) Increased volatility
Blue = NY Early Morning US session preparation phase
Red = NY Critical 5 Minutes (09:3009:35) ⚠️ Most Important! Market most active, trends easily form
Green = NY Late Morning Continuation of early session trend
Trading Tip: Focus on the red critical period; these 5 minutes often determine the day's direction!
⚙️ Recommended Settings for Three Major Markets
🥇 Gold (XAUUSD):
Fast MA: Hull MA 12 (Highly sensitive for gold's fast moves)
Slow MA: EMA 34 (Fibonacci number)
RSI Period: 9 (Faster reaction)
Strong Trend Threshold: 0.25%
Timeframes: 5, 15, 60, 240, 1440
₿ Bitcoin (BTCUSD):
Fast MA: EMA 21
Slow MA: EMA 55
RSI Period: 14
Strong Trend Threshold: 0.8% (High volatility, requires higher threshold)
Timeframes: 15, 60, 240, D, W
💎 Ethereum (ETHUSD):
Fast MA: TEMA 21
Slow MA: EMA 55
RSI Period: 14
Strong Trend Threshold: 0.600.80%
Timeframes: 15, 60, 240, D, W
💱 Forex EUR/USD:
Fast MA: TEMA 10 (Fast response)
Slow MA: T3 30, Factor 0.7 (Smooths noise)
RSI Period: 14
Strong Trend Threshold: 0.08% (Forex has low volatility)
Timeframes: 5, 15, 60, 240, 1440
多周期趋势动量面板(Multi-Timeframe Trend Momentum Panel - User Guide)多周期趋势动量面板(Multi-Timeframe Trend Momentum Panel - User Guide)(english explanation follows.)
📖 指标功能详解 (精简版):
🎯 核心功能:
1.	多周期趋势分析  同时监控8个时间周期(1m/5m/15m/1H/4H/D/W/M)
2.	4维度投票系统  MA趋势+RSI动量+MACD+布林带综合判断
3.	全球交易时段  可视化亚洲/伦敦/纽约交易时间
4.	趋势强度评分  0100%量化市场力量
5.	智能警报  强势多空信号自动推送
________________________________________
📚 重要名词解释:
🔵 趋势状态 (MA均线分析):
名词	含义	信号强度
强势多头	快MA远高于慢MA(差值≥0.35%)	⭐⭐⭐⭐⭐ 做多
多头倾向	快MA略高于慢MA(差值<0.35%)	⭐⭐⭐ 谨慎做多
震荡	快慢MA缠绕,无明确方向	⚠️ 观望
空头倾向	快MA略低于慢MA	⭐⭐⭐ 谨慎做空
强势空头	快MA远低于慢MA	⭐⭐⭐⭐⭐ 做空
简单理解: 快MA就像短跑运动员(反应快),慢MA是长跑运动员(稳定)。短跑远超长跑=强势多头,反之=强势空头。
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🟠 动量状态 (RSI力度分析):
名词	含义	操作建议
动量上攻↗	RSI>60且快速上升	强烈买入信号
动量高位	RSI>60但上升变慢	警惕回调,可减仓
动量中性	RSI在4060之间,平稳	等待方向明确
动量低位	RSI<40但下跌变慢	警惕反弹,可止盈
动量下压↘	RSI<40且快速下降	强烈卖出信号
简单理解: RSI就像汽车速度表。"动量上攻"=油门踩到底加速,"动量高位"=已经很快但不再加速了。
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🟣 辅助信号:
MACD:
•	MACD多头 = 柱状图>0 = 买方力量强
•	MACD空头 = 柱状图<0 = 卖方力量强
布林带(BB):
•	BB超买 = 价格在布林带上轨附近 = 可能回调
•	BB超卖 = 价格在布林带下轨附近 = 可能反弹
•	BB中轨 = 价格在中间位置 = 平衡状态
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💡 快速上手  3步看懂面板:
第1步: 看"综合结论标签" (K线上方)
•	绿色"多头占优" → 可以做多
•	红色"空头占优" → 可以做空
•	橙色"震荡/均衡" → 观望
第2步: 看"票数 多/空" (面板最下方)
•	多头票数远大于空头 (差距>2) → 趋势强
•	票数接近 (差距<1) → 震荡市
第3步: 看"趋势强度" (综合标签中)
•	强度>70% → 强势趋势,可重仓
•	强度5070% → 中等趋势,正常仓位
•	强度<50% → 弱势,轻仓或观望
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🎨 时段背景色含义:
•	紫色背景 = 亚洲时段 (东京交易时间)  波动较小
•	橙色背景 = 伦敦时段 (欧洲交易时间)  波动增大
•	蓝色背景 = 纽约凌晨  美盘准备阶段
•	红色背景 = 纽约关键5分钟 (09:3009:35) ⚠️ 最重要! 市场最活跃,趋势易形成
•	绿色背景 = 纽约上午后段  延续早盘趋势
交易建议: 重点关注红色关键时段,这5分钟往往决定全天方向!
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⚙️ 三大市场推荐设置
🥇 黄金: Hull MA 12/EMA 34, 阈值0.250.35%
₿ 比特币: EMA 21/EMA 55, 阈值0.801.20%
💎 以太坊: TEMA 21/EMA 55, 阈值0.600.80%
 参数优化建议
 黄金 (XAUUSD)
快速MA: Hull MA 12 (超灵敏捕捉黄金快速波动)
慢速MA: EMA 34 (斐波那契数列)
RSI周期: 9 (加快反应)
强趋势阈值: 0.25%
周期: 5, 15, 60, 240, 1440
 比特币 (BTCUSD)
快速MA: EMA 21
慢速MA: EMA 55
RSI周期: 14
强趋势阈值: 0.8% (波动大,阈值需提高)
周期: 15, 60, 240, D, W
 外汇 EUR/USD
快速MA: TEMA 10 (快速响应)
慢速MA: T3 30, 因子0.7 (平滑噪音)
RSI周期: 14
强趋势阈值: 0.08% (外汇波动小)
周期: 5, 15, 60, 240, 1440
📖 Indicator Function Details (Concise Version):
🎯 Core Functions:
1.  MultiTimeframe Trend Analysis  Monitors 8 timeframes simultaneously (1m/5m/15m/1H/4H/D/W/M)
2.  4Dimensional Voting System  Comprehensive judgment based on MA trend + RSI momentum + MACD + Bollinger Bands
3.  Global Trading Sessions  Visualizes Asia/London/New York trading hours
4.  Trend Strength Score  Quantifies market strength from 0100%
5.  Smart Alerts  Automatically pushes strong bullish/bearish signals
📚 Key Term Explanations:
🔵 Trend Status (MA Analysis):
| Term             | Meaning                                      | Signal Strength        |
|  |  |  |
| Strong Bull      | Fast MA significantly > Slow MA (Diff ≥0.35%)  | ⭐⭐⭐⭐⭐ Long       |
| Bullish Bias     | Fast MA slightly > Slow MA (Diff <0.35%)       | ⭐⭐⭐ Caution Long   |
| Ranging          | MAs intertwined, no clear direction          | ⚠️ Wait & See        |
| Bearish Bias     | Fast MA slightly < Slow MA                   | ⭐⭐⭐ Caution Short |
| Strong Bear      | Fast MA significantly < Slow MA              | ⭐⭐⭐⭐⭐ Short      |
Simple Understanding: Fast MA = sprinter (fast reaction), Slow MA = longdistance runner (stable). Sprinter far ahead = Strong Bull, opposite = Strong Bear.
🟠 Momentum Status (RSI Analysis):
| Term               | Meaning                            | Trading Suggestion                  |
|  |  |  |
| Momentum Up ↗      | RSI >60 & rising rapidly           | Strong Buy Signal                   |
| Momentum High      | RSI >60 but rising slower          | Watch for pullback, consider reducing position |
| Momentum Neutral   | RSI between 4060, stable          | Wait for clearer direction          |
| Momentum Low       | RSI <40 but falling slower         | Watch for rebound, consider taking profit |
| Momentum Down ↘    | RSI <40 & falling rapidly          | Strong Sell Signal                  |
Simple Understanding: RSI = car speedometer. "Momentum Up" = full throttle acceleration, "Momentum High" = already fast but not accelerating further.
🟣 Auxiliary Signals:
MACD:
 MACD Bullish = Histogram >0 = Strong buyer power
 MACD Bearish = Histogram <0 = Strong seller power
Bollinger Bands (BB):
 BB Overbought = Price near upper band = Possible pullback
 BB Oversold = Price near lower band = Possible rebound
 BB Middle = Price near middle band = Balanced state
💡 Quick Start  3 Steps to Understand the Panel:
Step 1: Check "Composite Conclusion Label" (Above the chart)
 Green "Bulls Favored" → Consider Long
 Red "Bears Favored" → Consider Short
 Orange "Ranging/Balanced" → Wait & See
Step 2: Check "Votes Bull/Bear" (Bottom of the panel)
 Bull votes significantly > Bear votes (Difference >2) → Strong Trend
 Votes close (Difference <1) → Ranging Market
Step 3: Check "Trend Strength" (In the composite label)
 Strength >70% → Strong Trend, consider heavier position
 Strength 5070% → Moderate Trend, normal position size
 Strength <50% → Weak Trend, light position or wait & see
🎨 Trading Session Background Color Meanings:
 Purple = Asian Session (Tokyo hours)  Lower volatility
 Orange = London Session (European hours)  Increased volatility
 Blue = NY Early Morning  US session preparation phase
 Red = NY Critical 5 Minutes (09:3009:35) ⚠️ Most Important! Market most active, trends easily form
 Green = NY Late Morning  Continuation of early session trend
Trading Tip: Focus on the red critical period; these 5 minutes often determine the day's direction!
⚙️ Recommended Settings for Three Major Markets
🥇 Gold (XAUUSD):
 Fast MA: Hull MA 12 (Highly sensitive for gold's fast moves)
 Slow MA: EMA 34 (Fibonacci number)
 RSI Period: 9 (Faster reaction)
 Strong Trend Threshold: 0.25%
 Timeframes: 5, 15, 60, 240, 1440
₿ Bitcoin (BTCUSD):
 Fast MA: EMA 21
 Slow MA: EMA 55
 RSI Period: 14
 Strong Trend Threshold: 0.8% (High volatility, requires higher threshold)
 Timeframes: 15, 60, 240, D, W
💎 Ethereum (ETHUSD):
 Fast MA: TEMA 21
 Slow MA: EMA 55
 RSI Period: 14
 Strong Trend Threshold: 0.600.80%
 Timeframes: 15, 60, 240, D, W
💱 Forex EUR/USD:
 Fast MA: TEMA 10 (Fast response)
 Slow MA: T3 30, Factor 0.7 (Smooths noise)
 RSI Period: 14
 Strong Trend Threshold: 0.08% (Forex has low volatility)
 Timeframes: 5, 15, 60, 240, 1440
Market Sentiment Trend Gauge [LevelUp]Market Sentiment Trend Gauge simplifies technical analysis by mathematically combining momentum, trend direction, volatility position, and comparison against a market benchmark, into a single trend score from -100 to +100. Displayed in a separate pane below your chart, it resolves conflicting signals from RSI, moving averages, Bollinger Bands, and market correlations, providing clear insights into trend direction, strength, and relative performance.
 THE PROBLEM MARKET SENTIMENT TREND GAUGE (MSTG) SOLVES 
Traditional indicators often produce conflicting signals, such as RSI showing overbought while prices rise or moving averages indicating an uptrend despite market underperformance. MSTG creates a weighted composite score to answer: "What's the overall bias for this asset?"
 KEY COMPONENTS AND WEIGHTINGS 
 The trend score combines 
▪ Momentum (25%): Normalized 14-period RSI, capped at ±100.
▪ Trend Direction (35%): 10/21-period EMA relationships, 
▪ Volatility Position (20%): Price position, 20-period Bollinger Bands, capped at ±100.
▪ Market Comparison (20%): Daily performance vs. SPY benchmark, capped at ±100.
Final score = Weighted sum, smoothed with 5-period EMA.
 INTERPRETING THE MSTG CHART 
 Trend Score Ranges and Colors 
▪ Bright Green (>+30): Strong bullish; ideal for long entries.
▪ Light Green (+10 to +30): Weak bullish; cautiously favorable.
▪ Gray (-10 to +10): Neutral; avoid directional trades.
▪ Light Red (-10 to -30): Weak bearish; exercise caution.
▪ Bright Red (<-30): Strong bearish; high-risk for longs, consider shorts.
 Reference Lines 
▪ Zero Line (Gray): Separates bullish/bearish; crossovers signal trend changes.
▪ ±30 Lines (Dotted, Green/Red): Thresholds for strong trends.
▪ ±60 Lines (Dashed, Green/Red): Extreme strength zones (not overbought/oversold); manage risk (tighten stops, partial profits) but trends may persist.
 Background Colors 
▪ Green Tint (>+20): Bullish environment; favorable for longs.
▪ Red Tint (<-20): Bearish environment; caution for longs.
▪ Light Gray Tint (-20 to +20): Neutral/range-bound; wait for signals.
 Extreme Readings vs. Traditional Signals 
MSTG ±60 indicates maximum alignment of all factors, not reversals (unlike RSI >70/<30). Use for risk management, not automatic exits. Strong trends can sustain extremes; breakdowns occur below +30 or above -30.
 INFORMATION TABLE INTERPRETATION 
 Trend Score Symbols 
 ▲▲  >+30       strong bullish
 ▲  +10 to +30
 ●  -10 to +10  neutral
 ▼  -30 to -10
 ▼▼  <-30       strong bearish
  
 Colors: Green (positive), White (neutral), Red (negative).
 Momentum Score  
 +40 to +100  strong bullish
 0 to +40     moderate bullish
 -40 to 0     moderate bearish
 -100 to -40  strong bearish
 Market vs. Stock  
▪ Green: Stock outperforming market
▪ Red: Stock underperforming market
Example Interpretations:
 -0.45% / +1.23% (Green): Market down, stock up = Strong relative strength
 +2.10% / +1.50% (Red): Both rising, but stock lagging = Relative weakness
 -1.20% / -0.80% (Green): Both falling, but stock declining less = Defensive strength
 UNDERSTANDING EXTREME READINGS VS TRADITIONAL OVERBOUGHT/OVERSOLD 
⚠️ Critical distinctions
 Traditional Overbought/Oversold Signals: 
▪ Single indicator (like RSI >70 or <30) showing momentum excess
▪ Often suggests immediate reversal or pullback expected
▪ Based on "price moved too far, too fast" concept
 MSTG Extreme Readings (±60): 
▪ Composite alignment of 4 different factors (momentum, trend, volatility, relative strength)
▪ Indicates maximum strength in current direction
▪  NOT a reversal signal  - means "all systems extremely bullish/bearish"
 Key Differences: 
▪ RSI >70: "Price got ahead of itself, expect pullback"
▪ MSTG >+60: "Everything is extremely bullish right now"
▪ Strong trends can maintain extreme MSTG readings during major moves
▪ Breakdowns happen when MSTG falls below +30, not at +60
 Proper Usage of Extreme Readings: 
▪ Risk Management: Tighten stops, take partial profits
▪ Position Sizing: Reduce new position sizes at extremes  
▪ Trend Continuation: Watch for sustained extreme readings in strong markets
▪ Exit Signals: Look for breakdown below +30, not reversal from +60
 TRADING WITH MSTG 
 Quick Assessment 
1. Check trend symbol for direction.
2. Confirm momentum strength.
3. Note relative performance color.
Examples:
 ▲▲ 55.2 (Green), Momentum +28.4, Outperforming: Strong buy setup.
 ▼ -18.6 (Red), Momentum -43.2, Underperforming: Defensive positioning.
 Entry Conditions 
▪ Long: stock outperforming market
 - Score >+30 (bright green)
 - Sustained green background
 - ▲▲ symbol, 
▪ Short: stock underperforming market
 - Score <-30 (bright red)
 - Sustained red background
 - ▼▼ symbol
 Avoid Trading When: 
▪ Gray zone (-10 to +10).
▪ Rapid color changes or frequent zero-line crosses (choppy market).
▪ Gray background (range-bound).
 Risk Management: 
▪ Stop Loss: Exit on zero-line crossover against position.
▪ Take Profit: Partial at ±60 for risk control.
▪ Position Sizing: Larger when signals align; smaller in extremes or mixed conditions.
 KEY ADVANTAGES 
▪ Unified View: Weighted composite reduces noise and conflicts.
▪ Visual Clarity: 5-color system with gradients for rapid recognition.
▪ Market Context: Relative strength vs. SPY identifies leaders/laggards.
▪ Flexibility: Works across timeframes (1-min to weekly); customizable table.
▪ Noise Reduction: EMA smoothing minimizes false signals.
 EXAMPLES 
Strong Bull: Trend Score 71.9, Momentum Score 76.9
Neutral: Trend Score 0.1, Momentum Score -9.2
Strong Bear: Trend Score -51.7, Momentum Score -51.5
 PERFORMANCE AND LIMITATIONS 
Strengths: Trend identification, noise reduction, relative performance versus market.
Limitations: Lags at turning points, less effective in extreme volatility or non-trending markets.
Recommendations: View on multiple timeframes, combine with price action and fundamentals.
Small Business Economic Conditions - Statistical Analysis ModelThe Small Business Economic Conditions Statistical Analysis Model (SBO-SAM) represents an econometric approach to measuring and analyzing the economic health of small business enterprises through multi-dimensional factor analysis and statistical methodologies. This indicator synthesizes eight fundamental economic components into a composite index that provides real-time assessment of small business operating conditions with statistical rigor. The model employs Z-score standardization, variance-weighted aggregation, higher-order moment analysis, and regime-switching detection to deliver comprehensive insights into small business economic conditions with statistical confidence intervals and multi-language accessibility.
1. Introduction and Theoretical Foundation
The development of quantitative models for assessing small business economic conditions has gained significant importance in contemporary financial analysis, particularly given the critical role small enterprises play in economic development and employment generation. Small businesses, typically defined as enterprises with fewer than 500 employees according to the U.S. Small Business Administration, constitute approximately 99.9% of all businesses in the United States and employ nearly half of the private workforce (U.S. Small Business Administration, 2024).
The theoretical framework underlying the SBO-SAM model draws extensively from established academic research in small business economics and quantitative finance. The foundational understanding of key drivers affecting small business performance builds upon the seminal work of Dunkelberg and Wade (2023) in their analysis of small business economic trends through the National Federation of Independent Business (NFIB) Small Business Economic Trends survey. Their research established the critical importance of optimism, hiring plans, capital expenditure intentions, and credit availability as primary determinants of small business performance.
The model incorporates insights from Federal Reserve Board research, particularly the Senior Loan Officer Opinion Survey (Federal Reserve Board, 2024), which demonstrates the critical importance of credit market conditions in small business operations. This research consistently shows that small businesses face disproportionate challenges during periods of credit tightening, as they typically lack access to capital markets and rely heavily on bank financing.
The statistical methodology employed in this model follows the econometric principles established by Hamilton (1989) in his work on regime-switching models and time series analysis. Hamilton's framework provides the theoretical foundation for identifying different economic regimes and understanding how economic relationships may vary across different market conditions. The variance-weighted aggregation technique draws from modern portfolio theory as developed by Markowitz (1952) and later refined by Sharpe (1964), applying these concepts to economic indicator construction rather than traditional asset allocation.
Additional theoretical support comes from the work of Engle and Granger (1987) on cointegration analysis, which provides the statistical framework for combining multiple time series while maintaining long-term equilibrium relationships. The model also incorporates insights from behavioral economics research by Kahneman and Tversky (1979) on prospect theory, recognizing that small business decision-making may exhibit systematic biases that affect economic outcomes.
2. Model Architecture and Component Structure
The SBO-SAM model employs eight orthogonalized economic factors that collectively capture the multifaceted nature of small business operating conditions. Each component is normalized using Z-score standardization with a rolling 252-day window, representing approximately one business year of trading data. This approach ensures statistical consistency across different market regimes and economic cycles, following the methodology established by Tsay (2010) in his treatment of financial time series analysis.
2.1 Small Cap Relative Performance Component
The first component measures the performance of the Russell 2000 index relative to the S&P 500, capturing the market-based assessment of small business equity valuations. This component reflects investor sentiment toward smaller enterprises and provides a forward-looking perspective on small business prospects. The theoretical justification for this component stems from the efficient market hypothesis as formulated by Fama (1970), which suggests that stock prices incorporate all available information about future prospects.
The calculation employs a 20-day rate of change with exponential smoothing to reduce noise while preserving signal integrity. The mathematical formulation is:
Small_Cap_Performance = (Russell_2000_t / S&P_500_t) / (Russell_2000_{t-20} / S&P_500_{t-20}) - 1
This relative performance measure eliminates market-wide effects and isolates the specific performance differential between small and large capitalization stocks, providing a pure measure of small business market sentiment.
2.2 Credit Market Conditions Component
Credit Market Conditions constitute the second component, incorporating commercial lending volumes and credit spread dynamics. This factor recognizes that small businesses are particularly sensitive to credit availability and borrowing costs, as established in numerous Federal Reserve studies (Bernanke and Gertler, 1995). Small businesses typically face higher borrowing costs and more stringent lending standards compared to larger enterprises, making credit conditions a critical determinant of their operating environment.
The model calculates credit spreads using high-yield bond ETFs relative to Treasury securities, providing a market-based measure of credit risk premiums that directly affect small business borrowing costs. The component also incorporates commercial and industrial loan growth data from the Federal Reserve's H.8 statistical release, which provides direct evidence of lending activity to businesses.
The mathematical specification combines these elements as:
Credit_Conditions = α₁ × (HYG_t / TLT_t) + α₂ × C&I_Loan_Growth_t
where HYG represents high-yield corporate bond ETF prices, TLT represents long-term Treasury ETF prices, and C&I_Loan_Growth represents the rate of change in commercial and industrial loans outstanding.
 2.3 Labor Market Dynamics Component
The Labor Market Dynamics component captures employment cost pressures and labor availability metrics through the relationship between job openings and unemployment claims. This factor acknowledges that labor market tightness significantly impacts small business operations, as these enterprises typically have less flexibility in wage negotiations and face greater challenges in attracting and retaining talent during periods of low unemployment.
The theoretical foundation for this component draws from search and matching theory as developed by Mortensen and Pissarides (1994), which explains how labor market frictions affect employment dynamics. Small businesses often face higher search costs and longer hiring processes, making them particularly sensitive to labor market conditions.
The component is calculated as:
Labor_Tightness = Job_Openings_t / (Unemployment_Claims_t × 52)
This ratio provides a measure of labor market tightness, with higher values indicating greater difficulty in finding workers and potential wage pressures.
 2.4 Consumer Demand Strength Component
Consumer Demand Strength represents the fourth component, combining consumer sentiment data with retail sales growth rates. Small businesses are disproportionately affected by consumer spending patterns, making this component crucial for assessing their operating environment. The theoretical justification comes from the permanent income hypothesis developed by Friedman (1957), which explains how consumer spending responds to both current conditions and future expectations.
The model weights consumer confidence and actual spending data to provide both forward-looking sentiment and contemporaneous demand indicators. The specification is:
Demand_Strength = β₁ × Consumer_Sentiment_t + β₂ × Retail_Sales_Growth_t
where β₁ and β₂ are determined through principal component analysis to maximize the explanatory power of the combined measure.
 2.5 Input Cost Pressures Component
Input Cost Pressures form the fifth component, utilizing producer price index data to capture inflationary pressures on small business operations. This component is inversely weighted, recognizing that rising input costs negatively impact small business profitability and operating conditions. Small businesses typically have limited pricing power and face challenges in passing through cost increases to customers, making them particularly vulnerable to input cost inflation.
The theoretical foundation draws from cost-push inflation theory as described by Gordon (1988), which explains how supply-side price pressures affect business operations. The model employs a 90-day rate of change to capture medium-term cost trends while filtering out short-term volatility:
Cost_Pressure = -1 × (PPI_t / PPI_{t-90} - 1)
The negative weighting reflects the inverse relationship between input costs and business conditions.
 2.6 Monetary Policy Impact Component
Monetary Policy Impact represents the sixth component, incorporating federal funds rates and yield curve dynamics. Small businesses are particularly sensitive to interest rate changes due to their higher reliance on variable-rate financing and limited access to capital markets. The theoretical foundation comes from monetary transmission mechanism theory as developed by Bernanke and Blinder (1992), which explains how monetary policy affects different segments of the economy.
The model calculates the absolute deviation of federal funds rates from a neutral 2% level, recognizing that both extremely low and high rates can create operational challenges for small enterprises. The yield curve component captures the shape of the term structure, which affects both borrowing costs and economic expectations:
Monetary_Impact = γ₁ × |Fed_Funds_Rate_t - 2.0| + γ₂ × (10Y_Yield_t - 2Y_Yield_t)
 2.7 Currency Valuation Effects Component
Currency Valuation Effects constitute the seventh component, measuring the impact of US Dollar strength on small business competitiveness. A stronger dollar can benefit businesses with significant import components while disadvantaging exporters. The model employs Dollar Index volatility as a proxy for currency-related uncertainty that affects small business planning and operations.
The theoretical foundation draws from international trade theory and the work of Krugman (1987) on exchange rate effects on different business segments. Small businesses often lack hedging capabilities, making them more vulnerable to currency fluctuations:
Currency_Impact = -1 × DXY_Volatility_t
 2.8 Regional Banking Health Component
The eighth and final component, Regional Banking Health, assesses the relative performance of regional banks compared to large financial institutions. Regional banks traditionally serve as primary lenders to small businesses, making their health a critical factor in small business credit availability and overall operating conditions.
This component draws from the literature on relationship banking as developed by Boot (2000), which demonstrates the importance of bank-borrower relationships, particularly for small enterprises. The calculation compares regional bank performance to large financial institutions:
Banking_Health = (Regional_Banks_Index_t / Large_Banks_Index_t) - 1
 3. Statistical Methodology and Advanced Analytics
The model employs statistical techniques to ensure robustness and reliability. Z-score normalization is applied to each component using rolling 252-day windows, providing standardized measures that remain consistent across different time periods and market conditions. This approach follows the methodology established by Engle and Granger (1987) in their cointegration analysis framework.
 3.1 Variance-Weighted Aggregation
The composite index calculation utilizes variance-weighted aggregation, where component weights are determined by the inverse of their historical variance. This approach, derived from modern portfolio theory, ensures that more stable components receive higher weights while reducing the impact of highly volatile factors. The mathematical formulation follows the principle that optimal weights are inversely proportional to variance, maximizing the signal-to-noise ratio of the composite indicator.
The weight for component i is calculated as:
w_i = (1/σᵢ²) / Σⱼ(1/σⱼ²)
where σᵢ² represents the variance of component i over the lookback period.
 3.2 Higher-Order Moment Analysis
Higher-order moment analysis extends beyond traditional mean and variance calculations to include skewness and kurtosis measurements. Skewness provides insight into the asymmetry of the sentiment distribution, while kurtosis measures the tail behavior and potential for extreme events. These metrics offer valuable information about the underlying distribution characteristics and potential regime changes.
Skewness is calculated as:
Skewness = E  / σ³
Kurtosis is calculated as:
Kurtosis = E  / σ⁴ - 3
where μ represents the mean and σ represents the standard deviation of the distribution.
 3.3 Regime-Switching Detection
The model incorporates regime-switching detection capabilities based on the Hamilton (1989) framework. This allows for identification of different economic regimes characterized by distinct statistical properties. The regime classification employs percentile-based thresholds:
- Regime 3 (Very High): Percentile rank > 80
- Regime 2 (High): Percentile rank 60-80
- Regime 1 (Moderate High): Percentile rank 50-60
- Regime 0 (Neutral): Percentile rank 40-50
- Regime -1 (Moderate Low): Percentile rank 30-40
- Regime -2 (Low): Percentile rank 20-30
- Regime -3 (Very Low): Percentile rank < 20
 3.4 Information Theory Applications
The model incorporates information theory concepts, specifically Shannon entropy measurement, to assess the information content of the sentiment distribution. Shannon entropy, as developed by Shannon (1948), provides a measure of the uncertainty or information content in a probability distribution:
H(X) = -Σᵢ p(xᵢ) log₂ p(xᵢ)
Higher entropy values indicate greater unpredictability and information content in the sentiment series.
 3.5 Long-Term Memory Analysis
The Hurst exponent calculation provides insight into the long-term memory characteristics of the sentiment series. Originally developed by Hurst (1951) for analyzing Nile River flow patterns, this measure has found extensive application in financial time series analysis. The Hurst exponent H is calculated using the rescaled range statistic:
H = log(R/S) / log(T)
where R/S represents the rescaled range and T represents the time period. Values of H > 0.5 indicate long-term positive autocorrelation (persistence), while H < 0.5 indicates mean-reverting behavior.
 3.6 Structural Break Detection
The model employs Chow test approximation for structural break detection, based on the methodology developed by Chow (1960). This technique identifies potential structural changes in the underlying relationships by comparing the stability of regression parameters across different time periods:
Chow_Statistic = (RSS_restricted - RSS_unrestricted) / RSS_unrestricted × (n-2k)/k
where RSS represents residual sum of squares, n represents sample size, and k represents the number of parameters.
 4. Implementation Parameters and Configuration
 4.1 Language Selection Parameters
The model provides comprehensive multi-language support across five languages: English, German (Deutsch), Spanish (Español), French (Français), and Japanese (日本語). This feature enhances accessibility for international users and ensures cultural appropriateness in terminology usage. The language selection affects all internal displays, statistical classifications, and alert messages while maintaining consistency in underlying calculations.
 4.2 Model Configuration Parameters
Calculation Method: Users can select from four aggregation methodologies:
- Equal-Weighted: All components receive identical weights
- Variance-Weighted: Components weighted inversely to their historical variance
- Principal Component: Weights determined through principal component analysis
- Dynamic: Adaptive weighting based on recent performance
Sector Specification: The model allows for sector-specific calibration:
- General: Broad-based small business assessment
- Retail: Emphasis on consumer demand and seasonal factors
- Manufacturing: Enhanced weighting of input costs and currency effects
- Services: Focus on labor market dynamics and consumer demand
- Construction: Emphasis on credit conditions and monetary policy
Lookback Period: Statistical analysis window ranging from 126 to 504 trading days, with 252 days (one business year) as the optimal default based on academic research.
Smoothing Period: Exponential moving average period from 1 to 21 days, with 5 days providing optimal noise reduction while preserving signal integrity.
 4.3 Statistical Threshold Parameters
Upper Statistical Boundary: Configurable threshold between 60-80 (default 70) representing the upper significance level for regime classification.
Lower Statistical Boundary: Configurable threshold between 20-40 (default 30) representing the lower significance level for regime classification.
Statistical Significance Level (α): Alpha level for statistical tests, configurable between 0.01-0.10 with 0.05 as the standard academic default.
 4.4 Display and Visualization Parameters
Color Theme Selection: Eight professional color schemes optimized for different user preferences and accessibility requirements:
- Gold: Traditional financial industry colors
- EdgeTools: Professional blue-gray scheme
- Behavioral: Psychology-based color mapping
- Quant: Value-based quantitative color scheme
- Ocean: Blue-green maritime theme
- Fire: Warm red-orange theme
- Matrix: Green-black technology theme
- Arctic: Cool blue-white theme
Dark Mode Optimization: Automatic color adjustment for dark chart backgrounds, ensuring optimal readability across different viewing conditions.
Line Width Configuration: Main index line thickness adjustable from 1-5 pixels for optimal visibility.
Background Intensity: Transparency control for statistical regime backgrounds, adjustable from 90-99% for subtle visual enhancement without distraction.
 4.5 Alert System Configuration
Alert Frequency Options: Three frequency settings to match different trading styles:
- Once Per Bar: Single alert per bar formation
- Once Per Bar Close: Alert only on confirmed bar close
- All: Continuous alerts for real-time monitoring
Statistical Extreme Alerts: Notifications when the index reaches 99% confidence levels (Z-score > 2.576 or < -2.576).
Regime Transition Alerts: Notifications when statistical boundaries are crossed, indicating potential regime changes.
 5. Practical Application and Interpretation Guidelines
 5.1 Index Interpretation Framework
The SBO-SAM index operates on a 0-100 scale with statistical normalization ensuring consistent interpretation across different time periods and market conditions. Values above 70 indicate statistically elevated small business conditions, suggesting favorable operating environment with potential for expansion and growth. Values below 30 indicate statistically reduced conditions, suggesting challenging operating environment with potential constraints on business activity.
The median reference line at 50 represents the long-term equilibrium level, with deviations providing insight into cyclical conditions relative to historical norms. The statistical confidence bands at 95% levels (approximately ±2 standard deviations) help identify when conditions reach statistically significant extremes.
 5.2 Regime Classification System
The model employs a seven-level regime classification system based on percentile rankings:
Very High Regime (P80+): Exceptional small business conditions, typically associated with strong economic growth, easy credit availability, and favorable regulatory environment. Historical analysis suggests these periods often precede economic peaks and may warrant caution regarding sustainability.
High Regime (P60-80): Above-average conditions supporting business expansion and investment. These periods typically feature moderate growth, stable credit conditions, and positive consumer sentiment.
Moderate High Regime (P50-60): Slightly above-normal conditions with mixed signals. Careful monitoring of individual components helps identify emerging trends.
Neutral Regime (P40-50): Balanced conditions near long-term equilibrium. These periods often represent transition phases between different economic cycles.
Moderate Low Regime (P30-40): Slightly below-normal conditions with emerging headwinds. Early warning signals may appear in credit conditions or consumer demand.
Low Regime (P20-30): Below-average conditions suggesting challenging operating environment. Businesses may face constraints on growth and expansion.
Very Low Regime (P0-20): Severely constrained conditions, typically associated with economic recessions or financial crises. These periods often present opportunities for contrarian positioning.
 5.3 Component Analysis and Diagnostics
Individual component analysis provides valuable diagnostic information about the underlying drivers of overall conditions. Divergences between components can signal emerging trends or structural changes in the economy.
Credit-Labor Divergence: When credit conditions improve while labor markets tighten, this may indicate early-stage economic acceleration with potential wage pressures.
Demand-Cost Divergence: Strong consumer demand coupled with rising input costs suggests inflationary pressures that may constrain small business margins.
Market-Fundamental Divergence: Disconnection between small-cap equity performance and fundamental conditions may indicate market inefficiencies or changing investor sentiment.
 5.4 Temporal Analysis and Trend Identification
The model provides multiple temporal perspectives through momentum analysis, rate of change calculations, and trend decomposition. The 20-day momentum indicator helps identify short-term directional changes, while the Hodrick-Prescott filter approximation separates cyclical components from long-term trends.
Acceleration analysis through second-order momentum calculations provides early warning signals for potential trend reversals. Positive acceleration during declining conditions may indicate approaching inflection points, while negative acceleration during improving conditions may suggest momentum loss.
 5.5 Statistical Confidence and Uncertainty Quantification
The model provides comprehensive uncertainty quantification through confidence intervals, volatility measures, and regime stability analysis. The 95% confidence bands help users understand the statistical significance of current readings and identify when conditions reach historically extreme levels.
Volatility analysis provides insight into the stability of current conditions, with higher volatility indicating greater uncertainty and potential for rapid changes. The regime stability measure, calculated as the inverse of volatility, helps assess the sustainability of current conditions.
 6. Risk Management and Limitations
 6.1 Model Limitations and Assumptions
The SBO-SAM model operates under several important assumptions that users must understand for proper interpretation. The model assumes that historical relationships between economic variables remain stable over time, though the regime-switching framework helps accommodate some structural changes. The 252-day lookback period provides reasonable statistical power while maintaining sensitivity to changing conditions, but may not capture longer-term structural shifts.
The model's reliance on publicly available economic data introduces inherent lags in some components, particularly those based on government statistics. Users should consider these timing differences when interpreting real-time conditions. Additionally, the model's focus on quantitative factors may not fully capture qualitative factors such as regulatory changes, geopolitical events, or technological disruptions that could significantly impact small business conditions.
The model's timeframe restrictions ensure statistical validity by preventing application to intraday periods where the underlying economic relationships may be distorted by market microstructure effects, trading noise, and temporal misalignment with the fundamental data sources. Users must utilize daily or longer timeframes to ensure the model's statistical foundations remain valid and interpretable.
 6.2 Data Quality and Reliability Considerations
The model's accuracy depends heavily on the quality and availability of underlying economic data. Market-based components such as equity indices and bond prices provide real-time information but may be subject to short-term volatility unrelated to fundamental conditions. Economic statistics provide more stable fundamental information but may be subject to revisions and reporting delays.
Users should be aware that extreme market conditions may temporarily distort some components, particularly those based on financial market data. The model's statistical normalization helps mitigate these effects, but users should exercise additional caution during periods of market stress or unusual volatility.
 6.3 Interpretation Caveats and Best Practices
The SBO-SAM model provides statistical analysis and should not be interpreted as investment advice or predictive forecasting. The model's output represents an assessment of current conditions based on historical relationships and may not accurately predict future outcomes. Users should combine the model's insights with other analytical tools and fundamental analysis for comprehensive decision-making.
The model's regime classifications are based on historical percentile rankings and may not fully capture the unique characteristics of current economic conditions. Users should consider the broader economic context and potential structural changes when interpreting regime classifications.
 7. Academic References and Bibliography
Bernanke, B. S., & Blinder, A. S. (1992). The Federal Funds Rate and the Channels of Monetary Transmission. American Economic Review, 82(4), 901-921.
Bernanke, B. S., & Gertler, M. (1995). Inside the Black Box: The Credit Channel of Monetary Policy Transmission. Journal of Economic Perspectives, 9(4), 27-48.
Boot, A. W. A. (2000). Relationship Banking: What Do We Know? Journal of Financial Intermediation, 9(1), 7-25.
Chow, G. C. (1960). Tests of Equality Between Sets of Coefficients in Two Linear Regressions. Econometrica, 28(3), 591-605.
Dunkelberg, W. C., & Wade, H. (2023). NFIB Small Business Economic Trends. National Federation of Independent Business Research Foundation, Washington, D.C.
Engle, R. F., & Granger, C. W. J. (1987). Co-integration and Error Correction: Representation, Estimation, and Testing. Econometrica, 55(2), 251-276.
Fama, E. F. (1970). Efficient Capital Markets: A Review of Theory and Empirical Work. Journal of Finance, 25(2), 383-417.
Federal Reserve Board. (2024). Senior Loan Officer Opinion Survey on Bank Lending Practices. Board of Governors of the Federal Reserve System, Washington, D.C.
Friedman, M. (1957). A Theory of the Consumption Function. Princeton University Press, Princeton, NJ.
Gordon, R. J. (1988). The Role of Wages in the Inflation Process. American Economic Review, 78(2), 276-283.
Hamilton, J. D. (1989). A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle. Econometrica, 57(2), 357-384.
Hurst, H. E. (1951). Long-term Storage Capacity of Reservoirs. Transactions of the American Society of Civil Engineers, 116(1), 770-799.
Kahneman, D., & Tversky, A. (1979). Prospect Theory: An Analysis of Decision under Risk. Econometrica, 47(2), 263-291.
Krugman, P. (1987). Pricing to Market When the Exchange Rate Changes. In S. W. Arndt & J. D. Richardson (Eds.), Real-Financial Linkages among Open Economies (pp. 49-70). MIT Press, Cambridge, MA.
Markowitz, H. (1952). Portfolio Selection. Journal of Finance, 7(1), 77-91.
Mortensen, D. T., & Pissarides, C. A. (1994). Job Creation and Job Destruction in the Theory of Unemployment. Review of Economic Studies, 61(3), 397-415.
Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Technical Journal, 27(3), 379-423.
Sharpe, W. F. (1964). Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk. Journal of Finance, 19(3), 425-442.
Tsay, R. S. (2010). Analysis of Financial Time Series (3rd ed.). John Wiley & Sons, Hoboken, NJ.
U.S. Small Business Administration. (2024). Small Business Profile. Office of Advocacy, Washington, D.C.
 8. Technical Implementation Notes
The SBO-SAM model is implemented in Pine Script version 6 for the TradingView platform, ensuring compatibility with modern charting and analysis tools. The implementation follows best practices for financial indicator development, including proper error handling, data validation, and performance optimization.
The model includes comprehensive timeframe validation to ensure statistical accuracy and reliability. The indicator operates exclusively on daily (1D) timeframes or higher, including weekly (1W), monthly (1M), and longer periods. This restriction ensures that the statistical analysis maintains appropriate temporal resolution for the underlying economic data sources, which are primarily reported on daily or longer intervals.
When users attempt to apply the model to intraday timeframes (such as 1-minute, 5-minute, 15-minute, 30-minute, 1-hour, 2-hour, 4-hour, 6-hour, 8-hour, or 12-hour charts), the system displays a comprehensive error message in the user's selected language and prevents execution. This safeguard protects users from potentially misleading results that could occur when applying daily-based economic analysis to shorter timeframes where the underlying data relationships may not hold.
The model's statistical calculations are performed using vectorized operations where possible to ensure computational efficiency. The multi-language support system employs Unicode character encoding to ensure proper display of international characters across different platforms and devices.
The alert system utilizes TradingView's native alert functionality, providing users with flexible notification options including email, SMS, and webhook integrations. The alert messages include comprehensive statistical information to support informed decision-making.
The model's visualization system employs professional color schemes designed for optimal readability across different chart backgrounds and display devices. The system includes dynamic color transitions based on momentum and volatility, professional glow effects for enhanced line visibility, and transparency controls that allow users to customize the visual intensity to match their preferences and analytical requirements. The clean confidence band implementation provides clear statistical boundaries without visual distractions, maintaining focus on the analytical content.
Synthetic Point & Figure  on RSIHere is a detailed description and user guide for the Synthetic Point & Figure RSI indicator, including how to use it for long and short trade considerations:
*
## Synthetic Point & Figure RSI Indicator – User Guide
### What It Is
This indicator applies classic Point & Figure (P&F) charting logic to the Relative Strength Index (RSI) instead of price. It transforms the RSI into synthetic “P&F candles” that filter out noise and highlight significant momentum moves and reversals based on configurable box size and reversal settings.
### How It Works
- The RSI is calculated normally over the selected length.
- The P&F engine tracks movements in the RSI above or below a defined “box size,” creating columns that switch direction only after a larger reversal.
- The synthetic candles connect these filtered RSI values visually, reducing false noise and emphasizing strong RSI trends.
- Optional EMA and SMA overlays on the synthetic P&F RSI allow smoother trend signals.
- Reference RSI levels at 33, 40, 50, 60, and 66 provide further context for momentum strength.
### How to Use for Trading
#### Long (Buy) Considerations
- The synthetic P&F RSI candle direction flips to *up (green candles)* indicating strength in momentum.
- Look for the RSI P&F value moving above the *40 or 50 level*, suggesting increasing bullish momentum.
- Confirmation is stronger if the synthetic RSI is above the EMA or SMA overlays.
- Ideal entries are after a reversal from a synthetic P&F downtrend (red candles) to an uptrend (green candles) near or above these levels.
#### Short (Sell) Considerations
- The candle direction flips to *down (red candles)*, showing weakening momentum or bearish reversal.
- Monitor if the synthetic RSI falls below the *60 or 50 level*, signaling momentum loss.
- Confirm bearish bias if the price is below the EMA or SMA overlays.
- Exit or short positions are signaled when the synthetic candle reverses from green to red near or below these threshold levels.
### Important RSI Levels to Watch
- *Level 33*: Lower bound indicating deep oversold conditions.
- *Level 40*: Early bullish zone suggesting momentum improvement.
- *Level 50*: Neutral midpoint; crossing above often signals bullish strength, below signals weakness.
- *Level 60*: Advanced bullish momentum; breaking below signals potential reversal.
- *Level 66*: Strong overbought area warning of possible pullback.
### Tips
- Use in conjunction with price action analysis and other volume/trend indicators for higher conviction.
- Adjust box size and reversal settings based on instrument volatility and timeframe for ideal filtering.
- The P&F RSI is best for identifying sustained momentum trends and avoiding false RSI whipsaws.
- Combine this indicator’s signals with stop-loss and risk management strategies.
*
This indicator converts RSI momentum analysis into a simplified, noise-filtered P&F chart format, helping traders better visualize and trade momentum shifts. It is especially useful when RSI signal noise can cause confusion in volatile markets.
Let me know if you want me to generate a shorter summary or code alerts based on these levels!
Sources
  Relative Strength Index (RSI) — Indicators and Strategies in.tradingview.com
  Indicators and strategies in.tradingview.com
  Relative Strength Index (RSI) Indicator: Tutorial www.youtube.com
  Stochastic RSI (STOCH RSI) in.tradingview.com
  RSI Strategy docs.algotest.in
  Stochastic RSI Indicator: Tutorial www.youtube.com
  Relative Strength Index (RSI): What It Is, How It Works, and ... www.investopedia.com
  rsi — Indicators and Strategies in.tradingview.com
  Relative Strength Index (RSI) in.tradingview.com
  Relative Strength Index (RSI) — Indicators and Strategies www.tradingview.com
% of Average Volume% of Average Volume (RVOL) 
What it is
This indicator measures cumulative volume during pre market and separately during the first 10 minutes of trading and compares it to the average 30 day volume. This matters as a high ratio of volume within the premarket and then during the first 10 minutes of trading can correlate to a stock that has a higher probability of trending in that direction throughout the day. 
What it’s meant to do
Identify abnormally high or low participation early in the day.
Normalize volume by time of session, so 9:40 volume is compared to past 9:40 volume—not to the full-day total.
Provide consistent RVOL across 1–5–15–60 minute charts (the same market state yields similar readings).
Handle pre-market cleanly (optional) without inflating RVOL.
How it works (plain English)
Cumulative Intraday Volume: Adds up all bars from the session (or pre-market, if enabled) up to “now.”
Time-Matched Baseline: For each prior day in your lookback, it accumulates only up to the same intraday minute and averages those values.
RVOL %: RVOL = (Today cumulative / Average cumulative at same time) × 100.
This “like-for-like” approach prevents the classic mistakes that overstate RVOL in pre-market or make it drift with timeframe changes.
Works best on
Intraday charts: 1, 2, 3, 4, 5, 10, 15, 30, 45, 60 min
Regular & extended hours: NYSE/Nasdaq equities, futures, ETFs
Daily/weekly views are supported for reference, but the edge comes from intraday time-matched analysis.
Tip: For thin names or very early pre-market, expect more variability—lower liquidity increases noise.
Customization (Inputs → Settings)
Lookback Sessions (e.g., 20): How many prior trading days to build the average.
Include Pre-Market (on/off): If on, RVOL accumulates from pre-market start and compares to historical pre-market at the same time; if off, it begins at the regular session open only.
Session Timezone / Exchange Hours: Choose the session definition that matches your market (e.g., NYSE) so “time-matched” means the same thing every day.
Cutoff Minute (Optional): Fix a reference minute (e.g., 6:40 a.m. PT / 9:40 a.m. ET) to evaluate RVOL at a standard check-in time.
Smoothing (Optional): Apply a short moving average to the RVOL line to reduce jitter.
Thresholds & Colors: Set levels (e.g., 150%, 300%) to color the plot/labels and trigger alerts.
Show Labels/Debug: Toggle on-chart labels (current RVOL%, baseline vols) for quick audits.
On-chart visuals & alerts
RVOL% Line/Histogram: Color-coded by thresholds (e.g., >300% “exceptional”, >150% “elevated”).
Session Markers: Optional vertical lines for pre-market/regular open.
Alerts:
RVOL Crosses Above X% (e.g., 150%, 300%)
RVOL Crosses Below X%
RVOL Rising/Falling (slope-based, optional)
Good defaults to start
Lookback: 20 sessions
Pre-market: Off for large caps, On for momentum screens
Thresholds: 150% (notable), 300% (exceptional)
Smoothing: 0–3 bars (or off for fastest response)
Notes & best practices
Timeframe consistency: Because calculations are time-matched, RVOL should remain directionally consistent across intraday timeframes. If you see divergences, confirm your session hours & timezone match your instrument’s exchange.
Holiday/half days: These are included in history; you can shorten lookback or exclude such sessions if your workflow prefers.
Low-float names: Consider a slightly longer lookback to reduce outlier effects.
TL;DR
A time-matched RVOL that treats pre-market correctly, stays stable across intraday timeframes, and is fully customizable for your exchange hours, thresholds, and alerts—so you can spot real participation when it matters.
S&P 500 Weighted Advance Decline LineS&P 500 Weighted Advance Decline Line Indicator
Overview
 
This indicator creates a market cap weighted advance/decline line for the S&P 500 that tracks breadth based on actual index weights rather than treating all stocks equally. By weighting each stock's contribution according to its true S&P 500 impact, it provides more accurate market breadth analysis and better insights into underlying market strength and potential turning points.
 Key Features 
 
 Market Cap Weighted: Each stock contributes based on its actual S&P 500 weight
 Top 40 Stocks: Covers ~51% of the index with the largest companies 
 (limited by TradingView's 40 security call maximum for Premium accounts) 
 Real-Time Updates: Cumulative line shows long-term breadth trends
 Visual Indicators: Background coloring, moving average option, and data table
 
 Stock Coverage 
 Sector Breakdown: 
Technology (29.8%) - Dominates the coverage as expected
Financials (5.8%) - Major banking and payment companies
Consumer/Retail (3.7%) - Consumer staples and retail giants
Healthcare (3.2%) - Pharma and healthcare services
Communication (1.97%) - Telecom and tech services
Energy (1.35%) - Oil and gas majors
Industrial (0.9%) - Aerospace and industrial equipment
Other Sectors (4.6%) - Miscellaneous including software and payments
 Includes the 40 largest S&P 500 companies by weight, featuring: 
 
  Tech Leaders (29.8%): AAPL (7.0%), MSFT (6.5%), NVDA (4.5%), AMZN (3.5%), META (2.5%), GOOGL/GOOG (3.8%), AVGO (1.5%), ORCL (1.22%), AMD (0.51%), plus others
  Financials (5.8%): BRK.B (1.8%), JPM (1.2%), V (1.0%), MA (0.8%), BAC (0.63%), WFC (0.46%)
  Healthcare (3.2%): LLY (1.2%), UNH (1.2%), JNJ (1.1%), ABBV (0.8%), PG (0.9%)
  Consumer/Retail (3.7%): WMT (0.8%), HD (0.8%), COST (0.7%), KO (0.6%), PEP (0.6%), NKE (0.4%)
  Communication (1.97%): TMUS (0.47%), CSCO (0.47%), DIS (0.5%), CRM (0.5%)
  Energy** (1.35%): XOM (0.8%), CVX (0.55%)
  Industrial** (0.9%): GE (0.5%), BA (0.4%)
  Other Sectors (4.6%): PLTR (0.65%), ADBE (0.6%), PYPL (0.3%), plus others
 
 How to Interpret 
 Trend Signals 
 
  Rising A/D Line: Broad market strength, more weighted buying than selling
  Falling A/D Line: Market weakness, more weighted selling pressure
  Flat A/D Line: Balanced market conditions
 
 Divergence Analysis 
 
  Bullish Divergence: S&P 500 makes new lows but A/D Line holds higher
  Bearish Divergence: S&P 500 makes new highs but A/D Line fails to confirm
 
 Confirmation 
 
  Strong trends occur when both price and A/D Line move in the same direction
  Weak trends show when price moves but breadth doesn't follow
 
 Settings 
 
  Lookback Period: Days for advance/decline comparison (default: 1)
  Show Moving Average: Optional trend smoothing
  MA Length: Moving average period (default: 20)
 
 Limitations 
 
 Covers ~51% of S&P 500 (not complete market breadth)
 Optimized for TradingView Premium accounts (40 security limit)
 Heavy weighting toward mega-cap technology stocks
 Dependent on real-time data quality
 
Cardwell RSI by TQ📌 Cardwell RSI – Enhanced Relative Strength Index 
This indicator is based on  Andrew Cardwell’s RSI methodology , extending the classic RSI with tools to better identify  bullish/bearish ranges  and trend dynamics.
 In uptrends, RSI tends to hold between 40–80 (Cardwell bullish range).
In downtrends, RSI tends to stay between 20–60 (Cardwell bearish range). 
 Key Features :
 
  Standard RSI with configurable length & source
  Fast (9) & Slow (45) RSI Moving Averages (toggleable)
  Cardwell Core Levels (80 / 60 / 40 / 20) – enabled by default
  Base Bands (70 / 50 / 30) in dotted style
  Optional custom levels (up to 3)
  Alerts for MA crosses and level crosses
  Data Window metrics: RSI vs Fast/Slow MA differences
 
 How to Use :
 
  Monitor RSI behavior inside Cardwell’s bullish (40–80) and bearish (20–60) ranges
  Watch RSI crossovers with Fast (9) and Slow (45) MAs to confirm momentum or trend shifts
  Use levels and alerts as confluence with your trading strategy
 
 Default Settings :
 
  RSI Length: 14
  MA Type: WMA
  Fast MA: 9 (hidden by default)
  Slow MA: 45 (hidden by default)
  Cardwell Levels (80/60/40/20): ON
  Base Bands (70/50/30): ON
Price Heat Meter [ChartPrime]⯁ OVERVIEW 
 Price Heat Meter   visualizes where price sits inside its recent range and turns that into an intuitive “temperature” read. Using rolling extremes, candles fade from  ❄️ aqua (cold)  near the lower bound to  🔥 red (hot)  near the upper bound. The tool also trails recent extreme levels, tags unusually persistent extremes with a % “heat” label, and shows a bottom gauge (0–100%) with a live arrow so you can read market heat at a glance.
 ⯁ KEY FEATURES 
 
 Rolling Heat Map (0–100%): 
The script measures where the close sits between the current  Lowest Low  and  Highest High  over the chosen  Length  (default 50).
Candles use a two-stage gradient:  aqua → yellow  (0–50%), then  yellow → red  (50–100%). This makes “how stretched are we?” instantly visible.
  
 Dynamic Extremes with Time Decay: 
When a new rolling  High  or  Low  is set, the script starts a faint horizontal trail at that price. Each bar that passes without a new extreme increases a counter; the line’s color gradually fades over time and fully disappears after ~100 bars, keeping the chart clean.
  
 Persistent-Extreme Tags (Reversal Hints): 
If an extreme persists for  40 bars  (i.e., price hasn’t reclaimed or surpassed it), the tool stamps the original extreme pivot with its recorded  Heat%  at the moment the extreme formed.
• Upper extremes print a red % label (possible exhaustion/resistance context).
• Lower extremes print an aqua % label (possible exhaustion/support context).
  
 Bottom Heat Gauge (0–100% Scale): 
A compact, gradient bar renders at the bottom center showing the current Heat% with an arrow/label.  ❄️  anchors the left (0%),  🔥  anchors the right (100%). The arrow adopts the same candle heat color for consistency.
  
  
 Minimal Inputs, Clear Theme: 
•  Length  (lookback window for H/L)
•  Heat Color  set (Cold / Mid / Hot)
The defaults give a balanced, legible gradient on most assets/timeframes.
 Signal Hygiene by Design: 
The meter doesn’t “call” reversals. Instead, it  contextualizes  price within its range and highlights the aging of extremes. That keeps it robust across regimes and assets, and ideal as a confluence layer with your existing triggers.
 
 ⯁ HOW IT WORKS (UNDER THE HOOD) 
 
 Range Model: 
H = Highest(High, Length), L = Lowest(Low, Length). Heat% = 100 × (Close − L) / (H − L).
 Extreme Tracking & Fade: 
When  High == H , we record/update the current upper extreme; same for  Low == L  on the lower side. If the extreme doesn’t change on the next bar, a counter increments and the plotted line’s opacity shifts along a 0→100 fade scale (visual decay).
 40-Bar Persistence Labels: 
On the bar after the extreme forms, the code stores the  bar_index  and the contemporaneous  Heat% . If the extreme survives 40 bars, it places a % label at the original pivot price and index—flagging levels that were meaningfully “tested by time.”
 Unified Color Logic: 
Both candles and the gauge use the same two-stage gradient (Cold→Mid, then Mid→Hot), so your eye reads “heat” consistently across all elements.
 
 ⯁ USAGE 
 
 Treat  >80%  as “hot” and  <20%  as “cold” context; combine with your trigger (e.g., structure, OB, div, breakouts) instead of acting on heat alone.
 Watch persistent extreme labels (40-bar marks) as  reference zones  for reaction or liquidity grabs.
 Use the fading extreme lines as a  memory map  of where price last stretched—levels that slowly matter less as they decay.
 Tighten  Length  for intraday sensitivity or increase it for swing stability.
 
 ⯁ WHY IT’S UNIQUE 
Rather than another oscillator,  Price Heat Meter  translates simple market geometry (rolling extremes) into a readable temperature layer with  time-aware extremes  and a  synchronized gauge . You get a continuously updated sense of stretch, persistence, and potential reversal context—without clutter or overfitting.
VWAP For Loop [BackQuant]VWAP For Loop  
 What this tool does—in one sentence 
A volume-weighted trend gauge that anchors VWAP to a calendar period (day/week/month/quarter/year) and then scores the persistence of that VWAP trend with a simple for-loop “breadth” count; the result is a clean, threshold-driven oscillator plus an optional VWAP overlay and alerts.
 Plain-English overview 
Instead of judging raw price alone, this indicator focuses on  anchored VWAP —the market’s average price paid during your chosen institutional period. It then asks a simple question across a configurable set of lookback steps:  “Is the current anchored VWAP higher than it was i bars ago—or lower?”  Each “yes” adds +1, each “no” adds −1. Summing those answers creates a score that reflects how consistently the volume-weighted trend has been rising or falling. Extreme positive scores imply persistent, broad strength; deeply negative scores imply persistent weakness. Crossing predefined thresholds produces objective long/short events and color-coded context.
 Under the hood 
•  Anchoring  — VWAP using  hlc3 × volume  resets exactly when the selected period rolls:
  Day → session change, Week → new week, Month → new month, Quarter/Year → calendar quarter/year.
•  For-loop scoring  —  For lag steps i =  , compare today’s VWAP to VWAP .
  – If VWAP > VWAP , add +1.
  – Else, add −1. 
  The final  score  ∈  , where N = (end − start + 1). With defaults (1→45), N = 45.
•  Signal logic (stateful) 
  –  Long  when score >  upper  (e.g., > 40 with N = 45 → VWAP higher than ~89% of checked lags).
  –  Short  on  crossunder  of  lower  (e.g., dropping below −10).
  – A compact state variable ( out ) holds the current regime: +1 (long), −1 (short), otherwise unchanged. This “stickiness” avoids constant flipping between bars without sufficient evidence.
 Why VWAP + a breadth score? 
• VWAP aggregates both price and volume—where participants actually traded.
• The breadth-style count rewards  consistency  of the anchored trend, not one-off spikes.
• Thresholds give you binary structure when you need it (alerts, automation), without complex math.
 What you’ll see on the chart 
•  Sub-pane oscillator  — The for-loop score line, colored by regime (long/short/neutral).
•  Main-pane VWAP (optional)  — Even though the indicator runs off-chart, the anchored VWAP can be overlaid on price (toggle visibility and whether it inherits trend colors).
•  Threshold guides  — Horizontal lines for the long/short bands (toggle).
•  Cosmetics  — Optional candle painting and background shading by regime; adjustable line width and colors.
 Input map (quick reference) 
•  VWAP Anchor Period  — Day, Week, Month, Quarter, Year.
•  Calculation Start/End  — The for-loop lag window  . With 1→45, you evaluate 45 comparisons.
•  Long/Short Thresholds  — Default upper=40, lower=−10 (asymmetric by design; see below).
•  UI/Style  — Show thresholds, paint candles, background color, line width, VWAP visibility and coloring, custom long/short colors.
 Interpreting the score 
•  Near +N  — Current anchored VWAP is above most historical VWAP checkpoints in the window → entrenched strength.
•  Near −N  — Current anchored VWAP is below most checkpoints → entrenched weakness.
•  Between  — Mixed, choppy, or transitioning regimes; use thresholds to avoid reacting to noise.
 Why the asymmetric default thresholds? 
•  Long = score > upper (40)  — Demands unusually broad upside persistence before declaring “long regime.”
•  Short = crossunder lower (−10)  — Triggers only on  downward momentum events  (a fresh breach), not merely being below −10. This combination tends to:
  – Capture sustained uptrends only when they’re very strong.
  – Flag downside turns as they occur, rather than waiting for an extreme negative breadth.
 Tuning guide 
 Choose an anchor that matches your horizon 
  –  Intraday scalps : Day anchor on intraday charts.
  –  Swing/position : Month or Quarter anchor on 1h/4h/D charts to capture institutional cycles.
 Pick the for-loop window 
  – Larger N (bigger end) = stronger evidence requirement, smoother oscillator.
  – Smaller N = faster, more reactive score.
 Set achievable thresholds 
  – Ensure  upper ≤ N  and  lower ≥ −N ; if N=30, an upper of 40 can never trigger.
  – Symmetric setups (e.g., +20/−20) are fine if you want balanced behavior.
 Match visuals to intent 
  – Enabling VWAP coloring lets you see regime directly on price.
  – Background shading is useful for discretionary reading; turn it off for cleaner automation displays.
 Playbook examples 
•  Trend confirmation with disciplined entries  — On Month anchor, N=45, upper=38–42: when the long regime engages, use pullbacks toward anchored VWAP on the main pane for entries, with stops just beyond VWAP or a recent swing.
•  Downside transition detection  — Keep lower around −8…−12 and watch for crossunders; combine with price losing anchored VWAP to validate risk-off.
•  Intraday bias filter  — Day anchor on a 5–15m chart, N=20–30, upper ~ 16–20, lower ~ −6…−10. Only take longs while score is positive and above a midline you define (e.g., 0), and shorts only after a genuine crossunder.
 Behavior around resets (important) 
Anchored VWAP is  hard-reset  each period. Immediately after a reset, the series can be young and comparisons to pre-reset values may span two periods. If you prefer within-period evaluation only, choose  end  small enough not to bridge typical period length on your timeframe, or accept that the breadth test intentionally spans regimes.
 Alerts included 
•  VWAP FL Long  — Fires when the long condition is true (score > upper and not in short).
•  VWAP FL Short  — Fires on crossunder of the lower threshold (event-driven).
Messages include {{ticker}} and {{interval}} placeholders for routing.
 Strengths 
•  Simple, transparent math  — Easy to reason about and validate.
•  Volume-aware by construction  — Decisions reference VWAP, not just price.
•  Robust to single-bar noise  — Needs many lags to agree before flipping state (by design, via thresholds and the stateful output).
 Limitations & cautions 
•  Threshold feasibility  — If N < upper or |lower| > N, signals will never trigger; always cross-check N.
•  Path dependence  — The state variable persists until a new event; if you want frequent re-evaluation, lower thresholds or reduce N.
•  Regime changes  — Calendar resets can produce early ambiguity; expect a few bars for the breadth to mature.
•  VWAP sensitivity to volume spikes  — Large prints can tilt VWAP abruptly; that behavior is intentional in VWAP-based logic.
 Suggested starting profiles 
•  Intraday trend bias : Anchor=Day, N=25 (1→25), upper=18–20, lower=−8, paint candles ON.
•  Swing bias : Anchor=Month, N=45 (1→45), upper=38–42, lower=−10, VWAP coloring ON, background OFF.
•  Balanced reactivity : Anchor=Week, N=30 (1→30), upper=20–22, lower=−10…−12, symmetric if desired.
 Implementation notes 
• The indicator runs in a separate pane (oscillator), but VWAP itself is drawn on price using forced overlay so you can see interactions (touches, reclaim/loss).
• HLC3 is used for VWAP price; that’s a common choice to dampen wick noise while still reflecting intrabar range.
• For-loop cap is kept modest (≤50) for performance and clarity.
 How to use this responsibly 
Treat the oscillator as a  bias and persistence meter . Combine it with your entry framework (structure breaks, liquidity zones, higher-timeframe context) and risk controls. The design emphasizes clarity over complexity—its edge is in how strictly it demands agreement before declaring a regime, not in predicting specific turns.
 Summary 
VWAP For Loop distills the question “How broadly is the anchored, volume-weighted trend advancing or retreating?” into a single, thresholded score you can read at a glance, alert on, and color through your chart. With careful anchoring and thresholds sized to your window length, it becomes a pragmatic bias filter for both systematic and discretionary workflows.
Peak & Valley Screener RadarThis Pine Script indicator is designed to help traders and investors analyze the percentage distance of stock prices from their recent All-Time High (ATH) and All-Time Low (ALH) over a user-defined number of bars.
It functions as a multi-stock screener, scanning a customizable list of stocks (default: 40 BIST 500 stocks) and displaying results in a dynamic table on the chart.
The script identifies stocks that have pulled back more than a specified percentage from their ATH (potential buying opportunities) or risen less than a specified percentage from their ALH (potential caution zones).
Key Features:
Customizable Stock List: Users can input a comma-separated list of stock tickers (e.g., "AAPL,GOOGL,MSFT") to scan any symbols available on TradingView.
User-Defined Parameters: Adjust the lookback period (bars back, default 250), ATH pullback threshold (default 10%), and ALH rise threshold (default 10%).
Dynamic Table Display: Results are shown in a table with two columns: "Distance to TOP" (ATH pullbacks in red) and "Distance to BOTTOM" (ALH rises in green). The table includes input parameters for quick reference and can be positioned anywhere on the chart (top/bottom left/center/right).
Optional Plots: Toggle plots to visualize the percentage distances for the current chart symbol (red for ATH, green for ALH).
Efficient Data Handling: Uses request.security with tuples for optimized multi-symbol data fetching, supporting up to ~80 stocks without exceeding Pine Script limits (adjust table rows if needed for more).
Real-Time Updates: The table updates only on the last bar for performance efficiency.
How It Works:
The script calculates the highest high and lowest low over the specified bars for each stock.
It computes the percentage difference from the current close: negative for ATH (pullback) and positive for ALH (rise).
Stocks meeting the thresholds are listed in the table with their exact percentages.
Usage Tips:
Apply this indicator to any chart (e.g., a BIST index or stock) to run the screener in the background.
Ideal for swing traders scanning for undervalued stocks near ATH or overbought near ALH.
Note: Performance may vary with large stock lists due to TradingView's security call limits (~40-50 calls per script). Test with smaller lists if needed.
You can bypass the 40-stock limit by adding the indicator twice to the chart, entering 40 different stocks in the second indicator and setting a different table position from the first one, allowing you to scan 80 stocks simultaneously. In fact, this way, you can scan as many stocks as your plan's limits allow.
This script is released under the Mozilla Public License 2.0. Feedback and suggestions are welcome, but please adhere to TradingView's House Rules—no guarantees of profitability, use at your own risk.Disclaimer: This is not financial advice. Past performance does not predict future results. Always conduct your own research.
Drawdown Distribution Analysis (DDA) ACADEMIC FOUNDATION AND RESEARCH BACKGROUND
The Drawdown Distribution Analysis indicator implements quantitative risk management principles, drawing upon decades of academic research in portfolio theory, behavioral finance, and statistical risk modeling. This tool provides risk assessment capabilities for traders and portfolio managers seeking to understand their current position within historical drawdown patterns.
The theoretical foundation of this indicator rests on modern portfolio theory as established by Markowitz (1952), who introduced the fundamental concepts of risk-return optimization that continue to underpin contemporary portfolio management. Sharpe (1966) later expanded this framework by developing risk-adjusted performance measures, most notably the Sharpe ratio, which remains a cornerstone of performance evaluation in financial markets.
The specific focus on drawdown analysis builds upon the work of Chekhlov, Uryasev and Zabarankin (2005), who provided the mathematical framework for incorporating drawdown measures into portfolio optimization. Their research demonstrated that traditional mean-variance optimization often fails to capture the full risk profile of investment strategies, particularly regarding sequential losses. More recent work by Goldberg and Mahmoud (2017) has brought these theoretical concepts into practical application within institutional risk management frameworks.
Value at Risk methodology, as comprehensively outlined by Jorion (2007), provides the statistical foundation for the risk measurement components of this indicator. The coherent risk measures framework developed by Artzner et al. (1999) ensures that the risk metrics employed satisfy the mathematical properties required for sound risk management decisions. Additionally, the focus on downside risk follows the framework established by Sortino and Price (1994), while the drawdown-adjusted performance measures implement concepts introduced by Young (1991).
MATHEMATICAL METHODOLOGY
The core calculation methodology centers on a peak-tracking algorithm that continuously monitors the maximum price level achieved and calculates the percentage decline from this peak. The drawdown at any time t is defined as DD(t) = (P(t) - Peak(t)) / Peak(t) × 100, where P(t) represents the asset price at time t and Peak(t) represents the running maximum price observed up to time t.
Statistical distribution analysis forms the analytical backbone of the indicator. The system calculates key percentiles using the ta.percentile_nearest_rank() function to establish the 5th, 10th, 25th, 50th, 75th, 90th, and 95th percentiles of the historical drawdown distribution. This approach provides a complete picture of how the current drawdown compares to historical patterns.
Statistical significance assessment employs standard deviation bands at one, two, and three standard deviations from the mean, following the conventional approach where the upper band equals μ + nσ and the lower band equals μ - nσ. The Z-score calculation, defined as Z = (DD - μ) / σ, enables the identification of statistically extreme events, with thresholds set at |Z| > 2.5 for extreme drawdowns and |Z| > 3.0 for severe drawdowns, corresponding to confidence levels exceeding 99.4% and 99.7% respectively.
ADVANCED RISK METRICS
The indicator incorporates several risk-adjusted performance measures that extend beyond basic drawdown analysis. The Sharpe ratio calculation follows the standard formula Sharpe = (R - Rf) / σ, where R represents the annualized return, Rf represents the risk-free rate, and σ represents the annualized volatility. The system supports dynamic sourcing of the risk-free rate from the US 10-year Treasury yield or allows for manual specification.
The Sortino ratio addresses the limitation of the Sharpe ratio by focusing exclusively on downside risk, calculated as Sortino = (R - Rf) / σd, where σd represents the downside deviation computed using only negative returns. This measure provides a more accurate assessment of risk-adjusted performance for strategies that exhibit asymmetric return distributions.
The Calmar ratio, defined as Annual Return divided by the absolute value of Maximum Drawdown, offers a direct measure of return per unit of drawdown risk. This metric proves particularly valuable for comparing strategies or assets with different risk profiles, as it directly relates performance to the maximum historical loss experienced.
Value at Risk calculations provide quantitative estimates of potential losses at specified confidence levels. The 95% VaR corresponds to the 5th percentile of the drawdown distribution, while the 99% VaR corresponds to the 1st percentile. Conditional VaR, also known as Expected Shortfall, estimates the average loss in the worst 5% of scenarios, providing insight into tail risk that standard VaR measures may not capture.
To enable fair comparison across assets with different volatility characteristics, the indicator calculates volatility-adjusted drawdowns using the formula Adjusted DD = Raw DD / (Volatility / 20%). This normalization allows for meaningful comparison between high-volatility assets like cryptocurrencies and lower-volatility instruments like government bonds.
The Risk Efficiency Score represents a composite measure ranging from 0 to 100 that combines the Sharpe ratio and current percentile rank to provide a single metric for quick asset assessment. Higher scores indicate superior risk-adjusted performance relative to historical patterns.
COLOR SCHEMES AND VISUALIZATION
The indicator implements eight distinct color themes designed to accommodate different analytical preferences and market contexts. The EdgeTools theme employs a corporate blue palette that matches the design system used throughout the edgetools.org platform, ensuring visual consistency across analytical tools.
The Gold theme specifically targets precious metals analysis with warm tones that complement gold chart analysis, while the Quant theme provides a grayscale scheme suitable for analytical environments that prioritize clarity over aesthetic appeal. The Behavioral theme incorporates psychology-based color coding, using green to represent greed-driven market conditions and red to indicate fear-driven environments.
Additional themes include Ocean, Fire, Matrix, and Arctic schemes, each designed for specific market conditions or user preferences. All themes function effectively with both dark and light mode trading platforms, ensuring accessibility across different user interface configurations.
PRACTICAL APPLICATIONS
Asset allocation and portfolio construction represent primary use cases for this analytical framework. When comparing multiple assets such as Bitcoin, gold, and the S&P 500, traders can examine Risk Efficiency Scores to identify instruments offering superior risk-adjusted performance. The 95% VaR provides worst-case scenario comparisons, while volatility-adjusted drawdowns enable fair comparison despite varying volatility profiles.
The practical decision framework suggests that assets with Risk Efficiency Scores above 70 may be suitable for aggressive portfolio allocations, scores between 40 and 70 indicate moderate allocation potential, and scores below 40 suggest defensive positioning or avoidance. These thresholds should be adjusted based on individual risk tolerance and market conditions.
Risk management and position sizing applications utilize the current percentile rank to guide allocation decisions. When the current drawdown ranks above the 75th percentile of historical data, indicating that current conditions are better than 75% of historical periods, position increases may be warranted. Conversely, when percentile rankings fall below the 25th percentile, indicating elevated risk conditions, position reductions become advisable.
Institutional portfolio monitoring applications include hedge fund risk dashboard implementations where multiple strategies can be monitored simultaneously. Sharpe ratio tracking identifies deteriorating risk-adjusted performance across strategies, VaR monitoring ensures portfolios remain within established risk limits, and drawdown duration tracking provides valuable information for investor reporting requirements.
Market timing applications combine the statistical analysis with trend identification techniques. Strong buy signals may emerge when risk levels register as "Low" in conjunction with established uptrends, while extreme risk levels combined with downtrends may indicate exit or hedging opportunities. Z-scores exceeding 3.0 often signal statistically oversold conditions that may precede trend reversals.
STATISTICAL SIGNIFICANCE AND VALIDATION
The indicator provides 95% confidence intervals around current drawdown levels using the standard formula CI = μ ± 1.96σ. This statistical framework enables users to assess whether current conditions fall within normal market variation or represent statistically significant departures from historical patterns.
Risk level classification employs a dynamic assessment system based on percentile ranking within the historical distribution. Low risk designation applies when current drawdowns perform better than 50% of historical data, moderate risk encompasses the 25th to 50th percentile range, high risk covers the 10th to 25th percentile range, and extreme risk applies to the worst 10% of historical drawdowns.
Sample size considerations play a crucial role in statistical reliability. For daily data, the system requires a minimum of 252 trading days (approximately one year) but performs better with 500 or more observations. Weekly data analysis benefits from at least 104 weeks (two years) of history, while monthly data requires a minimum of 60 months (five years) for reliable statistical inference.
IMPLEMENTATION BEST PRACTICES
Parameter optimization should consider the specific characteristics of different asset classes. Equity analysis typically benefits from 500-day lookback periods with 21-day smoothing, while cryptocurrency analysis may employ 365-day lookback periods with 14-day smoothing to account for higher volatility patterns. Fixed income analysis often requires longer lookback periods of 756 days with 34-day smoothing to capture the lower volatility environment.
Multi-timeframe analysis provides hierarchical risk assessment capabilities. Daily timeframe analysis supports tactical risk management decisions, weekly analysis informs strategic positioning choices, and monthly analysis guides long-term allocation decisions. This hierarchical approach ensures that risk assessment occurs at appropriate temporal scales for different investment objectives.
Integration with complementary indicators enhances the analytical framework. Trend indicators such as RSI and moving averages provide directional bias context, volume analysis helps confirm the severity of drawdown conditions, and volatility measures like VIX or ATR assist in market regime identification.
ALERT SYSTEM AND AUTOMATION
The automated alert system monitors five distinct categories of risk events. Risk level changes trigger notifications when drawdowns move between risk categories, enabling proactive risk management responses. Statistical significance alerts activate when Z-scores exceed established threshold levels of 2.5 or 3.0 standard deviations.
New maximum drawdown alerts notify users when historical maximum levels are exceeded, indicating entry into uncharted risk territory. Poor risk efficiency alerts trigger when the composite risk efficiency score falls below 30, suggesting deteriorating risk-adjusted performance. Sharpe ratio decline alerts activate when risk-adjusted performance turns negative, indicating that returns no longer compensate for the risk undertaken.
TRADING STRATEGIES
Conservative risk parity strategies can be implemented by monitoring Risk Efficiency Scores across a diversified asset portfolio. Monthly rebalancing maintains equal risk contribution from each asset, with allocation reductions triggered when risk levels reach "High" status and complete exits executed when "Extreme" risk levels emerge. This approach typically results in lower overall portfolio volatility, improved risk-adjusted returns, and reduced maximum drawdown periods.
Tactical asset rotation strategies compare Risk Efficiency Scores across different asset classes to guide allocation decisions. Assets with scores exceeding 60 receive overweight allocations, while assets scoring below 40 receive underweight positions. Percentile rankings provide timing guidance for allocation adjustments, creating a systematic approach to asset allocation that responds to changing risk-return profiles.
Market timing strategies with statistical edges can be constructed by entering positions when Z-scores fall below -2.5, indicating statistically oversold conditions, and scaling out when Z-scores exceed 2.5, suggesting overbought conditions. The 95% VaR serves as a stop-loss reference point, while trend confirmation indicators provide additional validation for position entry and exit decisions.
LIMITATIONS AND CONSIDERATIONS
Several statistical limitations affect the interpretation and application of these risk measures. Historical bias represents a fundamental challenge, as past drawdown patterns may not accurately predict future risk characteristics, particularly during structural market changes or regime shifts. Sample dependence means that results can be sensitive to the selected lookback period, with shorter periods providing more responsive but potentially less stable estimates.
Market regime changes can significantly alter the statistical parameters underlying the analysis. During periods of structural market evolution, historical distributions may provide poor guidance for future expectations. Additionally, many financial assets exhibit return distributions with fat tails that deviate from normal distribution assumptions, potentially leading to underestimation of extreme event probabilities.
Practical limitations include execution risk, where theoretical signals may not translate directly into actual trading results due to factors such as slippage, timing delays, and market impact. Liquidity constraints mean that risk metrics assume perfect liquidity, which may not hold during stressed market conditions when risk management becomes most critical.
Transaction costs are not incorporated into risk-adjusted return calculations, potentially overstating the attractiveness of strategies that require frequent trading. Behavioral factors represent another limitation, as human psychology may override statistical signals, particularly during periods of extreme market stress when disciplined risk management becomes most challenging.
TECHNICAL IMPLEMENTATION
Performance optimization ensures reliable operation across different market conditions and timeframes. All technical analysis functions are extracted from conditional statements to maintain Pine Script compliance and ensure consistent execution. Memory efficiency is achieved through optimized variable scoping and array usage, while computational speed benefits from vectorized calculations where possible.
Data quality requirements include clean price data without gaps or errors that could distort distribution analysis. Sufficient historical data is essential, with a minimum of 100 bars required and 500 or more preferred for reliable statistical inference. Time alignment across related assets ensures meaningful comparison when conducting multi-asset analysis.
The configuration parameters are organized into logical groups to enhance usability. Core settings include the Distribution Analysis Period (100-2000 bars), Drawdown Smoothing Period (1-50 bars), and Price Source selection. Advanced metrics settings control risk-free rate sourcing, either from live market data or fixed rate specification, along with toggles for various risk-adjusted metric calculations.
Display options provide flexibility in visual presentation, including color theme selection from eight available schemes, automatic dark mode optimization, and control over table display, position lines, percentile bands, and standard deviation overlays. These options ensure that the indicator can be adapted to different analytical workflows and visual preferences.
CONCLUSION
The Drawdown Distribution Analysis indicator provides risk management tools for traders seeking to understand their current position within historical risk patterns. By combining established statistical methodology with practical usability features, the tool enables evidence-based risk assessment and portfolio optimization decisions.
The implementation draws upon established academic research while providing practical features that address real-world trading requirements. Dynamic risk-free rate integration ensures accurate risk-adjusted performance calculations, while multiple color schemes accommodate different analytical preferences and use cases.
Academic compliance is maintained through transparent methodology and acknowledgment of limitations. The tool implements peer-reviewed statistical techniques while clearly communicating the constraints and assumptions underlying the analysis. This approach ensures that users can make informed decisions about the appropriate application of the risk assessment framework within their broader trading and investment processes.
BIBLIOGRAPHY
Artzner, P., Delbaen, F., Eber, J.M. and Heath, D. (1999) 'Coherent Measures of Risk', Mathematical Finance, 9(3), pp. 203-228.
Chekhlov, A., Uryasev, S. and Zabarankin, M. (2005) 'Drawdown Measure in Portfolio Optimization', International Journal of Theoretical and Applied Finance, 8(1), pp. 13-58.
Goldberg, L.R. and Mahmoud, O. (2017) 'Drawdown: From Practice to Theory and Back Again', Journal of Risk Management in Financial Institutions, 10(2), pp. 140-152.
Jorion, P. (2007) Value at Risk: The New Benchmark for Managing Financial Risk. 3rd edn. New York: McGraw-Hill.
Markowitz, H. (1952) 'Portfolio Selection', Journal of Finance, 7(1), pp. 77-91.
Sharpe, W.F. (1966) 'Mutual Fund Performance', Journal of Business, 39(1), pp. 119-138.
Sortino, F.A. and Price, L.N. (1994) 'Performance Measurement in a Downside Risk Framework', Journal of Investing, 3(3), pp. 59-64.
Young, T.W. (1991) 'Calmar Ratio: A Smoother Tool', Futures, 20(1), pp. 40-42. 
SMI-DarknessIndicator Description: SMI-Darkness
The SMI-Darkness is an indicator based on the Stochastic Momentum Index (SMI), designed to help identify the strength and direction of an asset's trend, as well as potential buy and sell signals. It displays a smoothed SMI using multiple moving average options to customize the indicator’s behavior according to the user’s trading style.
Main Features
Smoothed SMI: Calculates the traditional SMI and smooths it using a user-configurable moving average, improving signal clarity.
Signal Line: Displays a smoothed signal line to identify crossovers with the SMI, generating potential entry or exit points.
Histogram: Shows the difference between the smoothed SMI and the signal line, visually highlighting trend strength. Blue bars indicate buying strength, while yellow bars indicate selling strength.
Horizontal Lines: Includes overbought (+40) and oversold (-40) levels, plus a neutral zero level to aid interpretation.
Indicator Parameters
SMI Short Period: Sets the short period used to calculate the SMI (default 5). Lower periods make the indicator more sensitive.
SMI Signal Period: Sets the period to smooth the signal line (default 5). Adjust to control the signal line's smoothness.
Moving Average Type: Choose the moving average type to smooth the SMI and signal line. Options include:
SMA (Simple Moving Average)
SMMA (Smoothed Moving Average)
EMA (Exponential Moving Average)
WMA (Weighted Moving Average)
HMA (Hull Moving Average)
JMA (Jurik Moving Average) — Note: This is not an original or proprietary moving average but a publicly available open-source version created by TradingView users.
VWMA (Volume-Weighted Moving Average)
KAMA (Kaufman Adaptive Moving Average)
How to Use
Trend Identification: Observe the position of the smoothed SMI relative to the signal line and the histogram values.
When the histogram is positive (blue bars), momentum is bullish.
When the histogram is negative (yellow bars), momentum is bearish.
Buy and Sell Signals:
A crossover of the smoothed SMI above the signal line may indicate a buy signal.
A crossover of the smoothed SMI below the signal line may indicate a sell signal.
Overbought/Oversold Levels:
SMI values above +40 suggest potential overbought conditions, signaling caution on long positions.
Values below -40 suggest potential oversold conditions, indicating possible buying opportunities.
Customization: Adjust the parameters to balance sensitivity and noise, choosing the moving average type that best fits your trading style.
Ergodic Market Divergence (EMD)Ergodic Market Divergence (EMD) 
Bridging Statistical Physics and Market Dynamics Through Ensemble Analysis
 The Revolutionary Concept:  When Physics Meets Trading
After months of research into ergodic theory—a fundamental principle in statistical mechanics—I've developed a trading system that identifies when markets transition between predictable and unpredictable states. This indicator doesn't just follow price; it analyzes whether current market behavior will persist or revert, giving traders a scientific edge in timing entries and exits.
 The Core Innovation:  Ergodic Theory Applied to Markets
What Makes Markets Ergodic or Non-Ergodic?
In statistical physics, ergodicity determines whether a system's future resembles its past. Applied to trading:
 Ergodic Markets (Mean-Reverting) 
- Time averages equal ensemble averages
- Historical patterns repeat reliably
- Price oscillates around equilibrium
- Traditional indicators work well
 Non-Ergodic Markets (Trending) 
- Path dependency dominates
- History doesn't predict future
- Price creates new equilibrium levels
- Momentum strategies excel
 The Mathematical Framework 
 The Ergodic Score combines three critical divergences: 
 Ergodic Score  = (Price Divergence × Market Stress + Return Divergence × 1000 + Volatility Divergence × 50) / 3
 Where: 
 Price Divergence:  How far current price deviates from market consensus
 Return Divergence:  Momentum differential between instrument and market
 Volatility Divergence:  Volatility regime misalignment
 Market Stress:  Adaptive multiplier based on current conditions
 The Ensemble Analysis Revolution 
 Beyond Single-Instrument Analysis 
Traditional indicators analyze one chart in isolation. EMD monitors multiple correlated markets simultaneously (SPY, QQQ, IWM, DIA) to detect systemic regime changes. This ensemble approach:
 Reveals Hidden Divergences:  Individual stocks may diverge from market consensus before major moves
 Filters False Signals:  Requires broader market confirmation
 Identifies Regime Shifts:  Detects when entire market structure changes
 Provides Context:  Shows if moves are isolated or systemic
 Dynamic Threshold Adaptation 
 Unlike fixed-threshold systems, EMD's boundaries evolve with market conditions: 
 Base Threshold  = SMA(Ergodic Score, Lookback × 3)
 Adaptive Component  = StDev(Ergodic Score, Lookback × 2) × Sensitivity
 Final Threshold  = Smoothed(Base + Adaptive)
This creates context-aware signals that remain effective across different market environments.
 The Confidence Engine:  Know Your Signal Quality
 Multi-Factor Confidence Scoring 
 Every signal receives a confidence score based on: 
 Signal Clarity (0-35%):  How decisively the ergodic threshold is crossed
 Momentum Strength (0-25%):  Rate of ergodic change
 Volatility Alignment (0-20%):  Whether volatility supports the signal
 Market Quality (0-20%):  Price convergence and path dependency factors
 Real-Time Confidence Updates 
 The Live Confidence metric continuously updates, showing: 
- Current opportunity quality
- Market state clarity
- Historical performance influence
- Signal recency boost
- Visual Intelligence System
 Adaptive Ergodic Field Bands 
 Dynamic bands that expand and contract based on market state: 
 Primary Color:  Ergodic state (mean-reverting)
 Danger Color:  Non-ergodic state (trending)
 Band Width:  Expected price movement range
 Squeeze Indicators:  Volatility compression warnings
 Quantum Wave Ribbons 
 Triple EMA system (8, 21, 55) revealing market flow: 
 Compressed Ribbons:  Consolidation imminent
 Expanding Ribbons:  Directional move developing
 Color Coding:  Matches current ergodic state
 Phase Transition Signals 
 Clear entry/exit markers at regime changes: 
 Bull Signals:  Ergodic restoration (mean reversion opportunity)
 Bear Signals:  Ergodic break (trend following opportunity)
 Confidence Labels:  Percentage showing signal quality
 Visual Intensity:  Stronger signals = deeper colors
 Professional Dashboard Suite 
 Main Analytics Panel (Top Right) 
 Market State Monitor 
- Current regime (Ergodic/Non-Ergodic)
- Ergodic score with threshold
- Path dependency strength
- Quantum coherence percentage
 Divergence Metrics 
- Price divergence with severity
- Volatility regime classification
- Strategy mode recommendation
- Signal strength indicator
 Live Intelligence 
- Real-time confidence score
- Color-coded risk levels
- Dynamic strategy suggestions
 Performance Tracking (Left Panel) 
 Signal Analytics 
- Total historical signals
- Win rate with W/L breakdown
- Current streak tracking
- Closed trade counter
 Regime Analysis 
- Current market behavior
- Bars since last signal
- Recommended actions
- Average confidence trends
 Strategy Command Center (Bottom Right) 
 Adaptive Recommendations 
- Active strategy mode
- Primary approach (mean reversion/momentum)
- Suggested indicators ("weapons")
- Entry/exit methodology
- Risk management guidance
- Comprehensive Input Guide
 Core Algorithm Parameters 
 Analysis Period (10-100 bars) 
 Scalping (10-15):  Ultra-responsive, more signals, higher noise
 Day Trading (20-30):  Balanced sensitivity and stability
 Swing Trading (40-100):  Smooth signals, major moves only Default: 20 - optimal for most timeframes
 Divergence Threshold (0.5-5.0) 
 Hair Trigger (0.5-1.0):  Catches every wiggle, many false signals
 Balanced (1.5-2.5):  Good signal-to-noise ratio
 Conservative (3.0-5.0):  Only extreme divergences Default: 1.5 - best risk/reward balance
 Path Memory (20-200 bars) 
 Short Memory (20-50):  Recent behavior focus, quick adaptation
 Medium Memory (50-100):  Balanced historical context
 Long Memory (100-200):  Emphasizes established patterns Default: 50 - captures sufficient history without lag
 Signal Spacing (5-50 bars) 
 Aggressive (5-10):  Allows rapid-fire signals
 Normal (15-25):  Prevents clustering, maintains flow
 Conservative (30-50):  Major setups only Default: 15 - optimal trade frequency
 Ensemble Configuration 
 Select markets for consensus analysis: 
 SPY:  Broad market sentiment
 QQQ:  Technology leadership
 IWM:  Small-cap risk appetite
 DIA:  Blue-chip stability
 More instruments  = stronger consensus but potentially diluted signals
 Visual Customization 
 Color Themes (6 professional options): 
 Quantum:  Cyan/Pink - Modern trading aesthetic
 Matrix:  Green/Red - Classic terminal look
 Heat:  Blue/Red - Temperature metaphor
 Neon:  Cyan/Magenta - High contrast
 Ocean:  Turquoise/Coral - Calming palette
 Sunset:  Red-orange/Teal - Warm gradients
 Display Controls: 
- Toggle each visual component
- Adjust transparency levels
- Scale dashboard text
- Show/hide confidence scores
- Trading Strategies by Market State
- Ergodic State Strategy (Primary Color Bands)
 Market Characteristics 
- Price oscillates predictably
- Support/resistance hold
- Volume patterns repeat
- Mean reversion dominates
 Optimal Approach 
 Entry:  Fade moves at band extremes
 Target:  Middle band (equilibrium)
 Stop:  Just beyond outer bands
 Size:  Full confidence-based position
 Recommended Tools 
- RSI for oversold/overbought
- Bollinger Bands for extremes
- Volume profile for levels
- Non-Ergodic State Strategy (Danger Color Bands)
 Market Characteristics 
- Price trends persistently
- Levels break decisively
- Volume confirms direction
- Momentum accelerates
 Optimal Approach 
 Entry:  Breakout from bands
 Target:  Trail with expanding bands
 Stop:  Inside opposite band
 Size:  Scale in with trend
 Recommended Tools 
- Moving average alignment
- ADX for trend strength
- MACD for momentum
- Advanced Features Explained
 Quantum Coherence Metric 
 Measures phase alignment between individual and ensemble behavior: 
 80-100%:  Perfect sync - strong mean reversion setup
 50-80%:  Moderate alignment - mixed signals
 0-50%:  Decoherence - trending behavior likely
 Path Dependency Analysis 
 Quantifies how much history influences current price: 
 Low (<30%):  Technical patterns reliable
 Medium (30-50%):  Mixed influences
 High (>50%):  Fundamental shift occurring
 Volatility Regime Classification 
 Contextualizes current volatility: 
 Normal:  Standard strategies apply
 Elevated:  Widen stops, reduce size
 Extreme:  Defensive mode required
 Signal Strength Indicator 
 Real-time opportunity quality: 
- Distance from threshold
- Momentum acceleration
- Cross-validation factors
 Risk Management Framework 
 Position Sizing by Confidence 
 90%+ confidence  = 100% position size
 70-90% confidence  = 75% position size  
 50-70% confidence  = 50% position size
<50% confidence = 25% or skip
 Dynamic Stop Placement 
 Ergodic State:  ATR × 1.0 from entry
 Non-Ergodic State:  ATR × 2.0 from entry
 Volatility Adjustment:  Multiply by current regime
 Multi-Timeframe Alignment 
- Check higher timeframe regime
- Confirm ensemble consensus
- Verify volume participation
- Align with major levels
 What Makes EMD Unique 
 Original Contributions 
 First Ergodic Theory Trading Application:  Transforms abstract physics into practical signals
 Ensemble Market Analysis:  Revolutionary multi-market divergence system
 Adaptive Confidence Engine:  Institutional-grade signal quality metrics
 Quantum Coherence:  Novel market alignment measurement
 Smart Signal Management:  Prevents clustering while maintaining responsiveness
 Technical Innovations 
 Dynamic Threshold Adaptation:  Self-adjusting sensitivity
 Path Memory Integration:  Historical dependency weighting
 Stress-Adjusted Scoring:  Market condition normalization
 Real-Time Performance Tracking:  Built-in strategy analytics
 Optimization Guidelines 
 By Timeframe 
 Scalping (1-5 min) 
 Period:  10-15
 Threshold:  0.5-1.0
 Memory:  20-30
 Spacing:  5-10
 Day Trading (5-60 min) 
 Period:  20-30
 Threshold:  1.5-2.5
 Memory:  40-60
 Spacing:  15-20
 Swing Trading (1H-1D) 
 Period:  40-60
 Threshold:  2.0-3.0
 Memory:  80-120
 Spacing:  25-35
 Position Trading (1D-1W) 
 Period:  60-100
 Threshold:  3.0-5.0
 Memory:  100-200
 Spacing:  40-50
 By Market Condition 
 Trending Markets 
- Increase threshold
- Extend memory
- Focus on breaks
 Ranging Markets 
- Decrease threshold
- Shorten memory
- Focus on restores
 Volatile Markets 
- Increase spacing
- Raise confidence requirement
- Reduce position size
- Integration with Other Analysis
- Complementary Indicators
 For Ergodic States 
- RSI divergences
- Bollinger Band squeezes
- Volume profile nodes
- Support/resistance levels
 For Non-Ergodic States 
- Moving average ribbons
- Trend strength indicators
- Momentum oscillators
- Breakout patterns
- Fundamental Alignment
- Check economic calendar
- Monitor sector rotation
- Consider market themes
- Evaluate risk sentiment
 Troubleshooting Guide 
 Too Many Signals: 
- Increase threshold
- Extend signal spacing
- Raise confidence minimum
 Missing Opportunities 
- Decrease threshold
- Reduce signal spacing
- Check ensemble settings
 Poor Win Rate 
- Verify timeframe alignment
- Confirm volume participation
- Review risk management
 Disclaimer 
This indicator is for educational and informational purposes only. It does not constitute financial advice. Trading involves substantial risk of loss and is not suitable for all investors. Past performance does not guarantee future results.
The ergodic framework provides unique market insights but cannot predict future price movements with certainty. Always use proper risk management, conduct your own analysis, and never risk more than you can afford to lose.
This tool should complement, not replace, comprehensive trading strategies and sound judgment. Markets remain inherently unpredictable despite advanced analysis techniques.
Transform market chaos into trading clarity with Ergodic Market Divergence.
Created with passion for the TradingView community
Trade with insight. Trade with anticipation.
—  Dskyz , for DAFE Trading Systems
IBD Style Candles [tradeviZion]IBD Style Candles   - Visualize Price Bars Like the Pros 
 Transform your chart with institutional-grade IBD-style bars and customizable moving averages for both daily and weekly timeframes. This indicator helps you visualize price action the way professionals at Investors Business Daily do. 
 What This Indicator Offers: 
 
 IBD-style bar visualization (clean, professional appearance)
 Customizable coloring based on price movement or previous close
 Automatic timeframe detection for appropriate moving averages
 Four customizable moving averages for daily timeframes (10, 21, 50, 200)
 Four customizable moving averages for weekly timeframes (10, 20, 30, 40)
 Options to use SMAs or EMAs with adjustable colors and line widths
 
 "The IBD-style bars provide a cleaner view of price action, allowing you to focus on market structure without the visual noise of traditional candles." 
 How to Apply the IBD-Style Bars: 
  
 
 On your TradingView chart, select "Bars" as the chart type from the main chart type selection menu (next to the time interval options).
 Right-click on the chart and select "Settings".
 Go to the "Symbol" tab.
 Uncheck the "Thin Bars" option to display thicker bars.
 Set the "Up Color" and "Down Color" opacity to 0 for a clean IBD-style appearance.
 Enable "IBD-style Candles" from the script's settings.
 To revert to the original chart style, repeat the above steps and restore the default settings.
 
  
  
  
 Moving Average Configuration: 
The indicator automatically detects your timeframe and displays the appropriate moving averages:
 Daily Timeframe Moving Averages: 
 
 10-day moving average (SMA/EMA)
 21-day moving average (SMA/EMA)
 50-day moving average (SMA/EMA)
 200-day moving average (SMA/EMA)
 
 Weekly Timeframe Moving Averages: 
 
 10-week moving average (SMA/EMA)
 20-week moving average (SMA/EMA)
 30-week moving average (SMA/EMA)
 40-week moving average (SMA/EMA)
 
 Usage Tips: 
 
 Enable "Color bars based on previous close" to identify momentum shifts based on prior candle closes
 Customize colors to match your chart theme or preference
 Enable only the moving averages relevant to your trading strategy
 For cleaner charts, reduce the number of visible moving averages
 For stock trading, the 10/21/50/200 daily and 10/40 weekly MAs are most commonly used by institutions
 
 
// Example configuration for different timeframes
if timeframe.isweekly
    // Weekly configuration
    showSMA1_Weekly = true  // 10-week MA
    showSMA4_Weekly = true  // 40-week MA
else
    // Daily configuration
    showMA2_Daily = true   // 21-day MA
    showMA3_Daily = true   // 50-day MA 
    showMA4_Daily = true   // 200-day MA
 
 While the IBD style provides clarity, remember that no visualization method guarantees trading success. Always combine with proper analysis and risk management. 
 If you found this indicator helpful, please consider leaving a comment or suggestion for future improvements. Happy trading!  






















