MultiLayer Acceleration/Deceleration Strategy [Skyrexio]Overview
MultiLayer Acceleration/Deceleration Strategy leverages the combination of Acceleration/Deceleration Indicator(AC), Williams Alligator, Williams Fractals and Exponential Moving Average (EMA) to obtain the high probability long setups. Moreover, strategy uses multi trades system, adding funds to long position if it considered that current trend has likely became stronger. Acceleration/Deceleration Indicator is used for creating signals, while Alligator and Fractal are used in conjunction as an approximation of short-term trend to filter them. At the same time EMA (default EMA's period = 100) is used as high probability long-term trend filter to open long trades only if it considers current price action as an uptrend. More information in "Methodology" and "Justification of Methodology" paragraphs. The strategy opens only long trades.
Unique Features
No fixed stop-loss and take profit: Instead of fixed stop-loss level strategy utilizes technical condition obtained by Fractals and Alligator to identify when current uptrend is likely to be over (more information in "Methodology" and "Justification of Methodology" paragraphs)
Configurable Trading Periods: Users can tailor the strategy to specific market windows, adapting to different market conditions.
Multilayer trades opening system: strategy uses only 10% of capital in every trade and open up to 5 trades at the same time if script consider current trend as strong one.
Short and long term trend trade filters: strategy uses EMA as high probability long-term trend filter and Alligator and Fractal combination as a short-term one.
Methodology
The strategy opens long trade when the following price met the conditions:
1. Price closed above EMA (by default, period = 100). Crossover is not obligatory.
2. Combination of Alligator and Williams Fractals shall consider current trend as an upward (all details in "Justification of Methodology" paragraph)
3. Acceleration/Deceleration shall create one of two types of long signals (all details in "Justification of Methodology" paragraph). Buy stop order is placed one tick above the candle's high of last created long signal.
4. If price reaches the order price, long position is opened with 10% of capital.
5. If currently we have opened position and price creates and hit the order price of another one long signal, another one long position will be added to the previous with another one 10% of capital. Strategy allows to open up to 5 long trades simultaneously.
6. If combination of Alligator and Williams Fractals shall consider current trend has been changed from up to downtrend, all long trades will be closed, no matter how many trades has been opened.
Script also has additional visuals. If second long trade has been opened simultaneously the Alligator's teeth line is plotted with the green color. Also for every trade in a row from 2 to 5 the label "Buy More" is also plotted just below the teeth line. With every next simultaneously opened trade the green color of the space between teeth and price became less transparent.
Strategy settings
In the inputs window user can setup strategy setting: EMA Length (by default = 100, period of EMA, used for long-term trend filtering EMA calculation). User can choose the optimal parameters during backtesting on certain price chart.
Justification of Methodology
Let's explore the key concepts of this strategy and understand how they work together. We'll begin with the simplest: the EMA.
The Exponential Moving Average (EMA) is a type of moving average that assigns greater weight to recent price data, making it more responsive to current market changes compared to the Simple Moving Average (SMA). This tool is widely used in technical analysis to identify trends and generate buy or sell signals. The EMA is calculated as follows:
1.Calculate the Smoothing Multiplier:
Multiplier = 2 / (n + 1), Where n is the number of periods.
2. EMA Calculation
EMA = (Current Price) × Multiplier + (Previous EMA) × (1 − Multiplier)
In this strategy, the EMA acts as a long-term trend filter. For instance, long trades are considered only when the price closes above the EMA (default: 100-period). This increases the likelihood of entering trades aligned with the prevailing trend.
Next, let’s discuss the short-term trend filter, which combines the Williams Alligator and Williams Fractals. Williams Alligator
Developed by Bill Williams, the Alligator is a technical indicator that identifies trends and potential market reversals. It consists of three smoothed moving averages:
Jaw (Blue Line): The slowest of the three, based on a 13-period smoothed moving average shifted 8 bars ahead.
Teeth (Red Line): The medium-speed line, derived from an 8-period smoothed moving average shifted 5 bars forward.
Lips (Green Line): The fastest line, calculated using a 5-period smoothed moving average shifted 3 bars forward.
When the lines diverge and align in order, the "Alligator" is "awake," signaling a strong trend. When the lines overlap or intertwine, the "Alligator" is "asleep," indicating a range-bound or sideways market. This indicator helps traders determine when to enter or avoid trades.
Fractals, another tool by Bill Williams, help identify potential reversal points on a price chart. A fractal forms over at least five consecutive bars, with the middle bar showing either:
Up Fractal: Occurs when the middle bar has a higher high than the two preceding and two following bars, suggesting a potential downward reversal.
Down Fractal: Happens when the middle bar shows a lower low than the surrounding two bars, hinting at a possible upward reversal.
Traders often use fractals alongside other indicators to confirm trends or reversals, enhancing decision-making accuracy.
How do these tools work together in this strategy? Let’s consider an example of an uptrend.
When the price breaks above an up fractal, it signals a potential bullish trend. This occurs because the up fractal represents a shift in market behavior, where a temporary high was formed due to selling pressure. If the price revisits this level and breaks through, it suggests the market sentiment has turned bullish.
The breakout must occur above the Alligator’s teeth line to confirm the trend. A breakout below the teeth is considered invalid, and the downtrend might still persist. Conversely, in a downtrend, the same logic applies with down fractals.
In this strategy if the most recent up fractal breakout occurs above the Alligator's teeth and follows the last down fractal breakout below the teeth, the algorithm identifies an uptrend. Long trades can be opened during this phase if a signal aligns. If the price breaks a down fractal below the teeth line during an uptrend, the strategy assumes the uptrend has ended and closes all open long trades.
By combining the EMA as a long-term trend filter with the Alligator and fractals as short-term filters, this approach increases the likelihood of opening profitable trades while staying aligned with market dynamics.
Now let's talk about Acceleration/Deceleration signals. AC indicator is calculated using the Awesome Oscillator, so let's first of all briefly explain what is Awesome Oscillator and how it can be calculated. The Awesome Oscillator (AO), developed by Bill Williams, is a momentum indicator designed to measure market momentum by contrasting recent price movements with a longer-term historical perspective. It helps traders detect potential trend reversals and assess the strength of ongoing trends.
The formula for AO is as follows:
AO = SMA5(Median Price) − SMA34(Median Price)
where:
Median Price = (High + Low) / 2
SMA5 = 5-period Simple Moving Average of the Median Price
SMA 34 = 34-period Simple Moving Average of the Median Price
The Acceleration/Deceleration (AC) Indicator, introduced by Bill Williams, measures the rate of change in market momentum. It highlights shifts in the driving force of price movements and helps traders spot early signs of trend changes. The AC Indicator is particularly useful for identifying whether the current momentum is accelerating or decelerating, which can indicate potential reversals or continuations. For AC calculation we shall use the AO calculated above is the following formula:
AC = AO − SMA5(AO), where SMA5(AO)is the 5-period Simple Moving Average of the Awesome Oscillator
When the AC is above the zero line and rising, it suggests accelerating upward momentum.
When the AC is below the zero line and falling, it indicates accelerating downward momentum.
When the AC is below zero line and rising it suggests the decelerating the downtrend momentum. When AC is above the zero line and falling, it suggests the decelerating the uptrend momentum.
Now we can explain which AC signal types are used in this strategy. The first type of long signal is when AC value is below zero line. In this cases we need to see three rising bars on the histogram in a row after the falling one. The second type of signals occurs above the zero line. There we need only two rising AC bars in a row after the falling one to create the signal. The signal bar is the last green bar in this sequence. The strategy places the buy stop order one tick above the candle's high, which corresponds to the signal bar on AC indicator.
After that we can have the following scenarios:
Price hit the order on the next candle in this case strategy opened long with this price.
Price doesn't hit the order price, the next candle set lower high. If current AC bar is increasing buy stop order changes by the script to the high of this new bar plus one tick. This procedure repeats until price finally hit buy order or current AC bar become decreasing. In the second case buy order cancelled and strategy wait for the next AC signal.
If long trades are initiated, the strategy continues utilizing subsequent signals until the total number of trades reaches a maximum of 5. All open trades are closed when the trend shifts to a downtrend, as determined by the combination of the Alligator and Fractals described earlier.
Why we use AC signals? If currently strategy algorithm considers the high probability of the short-term uptrend with the Alligator and Fractals combination pointed out above and the long-term trend is also suggested by the EMA filter as bullish. Rising AC bars after period of falling AC bars indicates the high probability of local pull back end and there is a high chance to open long trade in the direction of the most likely main uptrend. The numbers of rising bars are different for the different AC values (below or above zero line). This is needed because if AC below zero line the local downtrend is likely to be stronger and needs more rising bars to confirm that it has been changed than if AC is above zero.
Why strategy use only 10% per signal? Sometimes we can see the false signals which appears on sideways. Not risking that much script use only 10% per signal. If the first long trade has been open and price continue going up and our trend approximation by Alligator and Fractals is uptrend, strategy add another one 10% of capital to every next AC signal while number of active trades no more than 5. This capital allocation allows to take part in long trades when current uptrend is likely to be strong and use only 10% of capital when there is a high probability of sideways.
Backtest Results
Operating window: Date range of backtests is 2023.01.01 - 2024.11.01. It is chosen to let the strategy to close all opened positions.
Commission and Slippage: Includes a standard Binance commission of 0.1% and accounts for possible slippage over 5 ticks.
Initial capital: 10000 USDT
Percent of capital used in every trade: 10%
Maximum Single Position Loss: -5.15%
Maximum Single Profit: +24.57%
Net Profit: +2108.85 USDT (+21.09%)
Total Trades: 111 (36.94% win rate)
Profit Factor: 2.391
Maximum Accumulated Loss: 367.61 USDT (-2.97%)
Average Profit per Trade: 19.00 USDT (+1.78%)
Average Trade Duration: 75 hours
How to Use
Add the script to favorites for easy access.
Apply to the desired timeframe and chart (optimal performance observed on 3h BTC/USDT).
Configure settings using the dropdown choice list in the built-in menu.
Set up alerts to automate strategy positions through web hook with the text: {{strategy.order.alert_message}}
Disclaimer:
Educational and informational tool reflecting Skyrex commitment to informed trading. Past performance does not guarantee future results. Test strategies in a simulated environment before live implementation
These results are obtained with realistic parameters representing trading conditions observed at major exchanges such as Binance and with realistic trading portfolio usage parameters.
指标和策略
Intraday Trend CandlesThe Intraday Trend Candles (ITC) indicator is a Pine Script-based tool designed for traders seeking to visualize market trends effectively. Using a combination of the Look Back Period, a multiplier for true range, and linearly weighted moving averages (LWMA), this indicator calculates dynamic trend limits that adapt to price movements. It identifies key trend shifts by comparing the current price to these dynamic thresholds, resulting in a visually intuitive display of market bias directly on the chart. The indicator is particularly well-suited for intraday trading, as it provides responsive insights tailored to short-term price action.
The ITC plots color-coded candles, highlighting bullish trends in blue and bearish trends in yellow, with gray indicating indecision or trend continuation. This color-coded approach makes it easy to identify reversals and trend dynamics at a glance. Additionally, a trend line is plotted to enhance clarity, signaling whether the price is favoring the upper or lower threshold of the calculated range. With built-in alerts for trend reversals, traders can stay informed about critical market shifts without constantly monitoring the chart. This combination of visual cues and alerts makes the ITC a versatile and powerful tool for traders focusing on momentum and trend-following strategies.
Optimal MA FinderIntroduction to the "Optimal MA Finder" Indicator
The "Optimal MA Finder" is a powerful and versatile tool designed to help traders optimize their moving average strategies. This script combines flexibility, precision, and automation to identify the most effective moving average (MA) length for your trading approach. Whether you're aiming to improve your long-only strategy or implement a buy-and-sell methodology, the "Optimal MA Finder" is your go-to solution for enhanced decision-making.
What Does It Do?
The script evaluates a wide range of moving average lengths, from 10 to 500, to determine which one produces the best results based on historical data. By calculating critical metrics such as the total number of trades and the profit factor for each MA length, it identifies the one that maximizes profitability. It supports both simple moving averages (SMA) and exponential moving averages (EMA), allowing you to tailor the analysis to your preferred method.
The logic works by backtesting each MA length against the price data and assessing the performance under two strategies:
Buy & Sell: Includes both long and short trades.
Long Only: Focuses solely on long positions for more conservative strategies.
Once the optimal MA length is identified, the script overlays it on the chart, highlighting periods when the price crosses over or under the optimal MA, helping traders identify potential entry and exit points.
Why Is It Useful?
This indicator stands out for its ability to automate a task that is often labor-intensive and subjective: finding the best MA length. By providing a clear, data-driven answer, it saves traders countless hours of manual testing while significantly enhancing the accuracy of their strategies. For example, instead of guessing whether a 50-period EMA is more effective than a 200-period SMA, the "Optimal MA Finder" will pinpoint the exact length and type of MA that has historically yielded the best results for your chosen strategy.
Key Benefits:
Precision: Identifies the MA length with the highest profit factor for maximum profitability.
Automation: Conducts thorough backtesting without manual effort.
Flexibility: Adapts to your preferred MA type (SMA or EMA) and trading strategy (Buy & Sell or Long Only).
Real-Time Feedback: Provides actionable insights by plotting the optimal MA directly on your chart and highlighting relevant trading periods.
Example of Use: Imagine you're trading a volatile stock and want to optimize your long-only strategy. By applying the "Optimal MA Finder," you discover that a 120-period EMA results in the highest profit factor. The indicator plots this EMA on your chart, showing you when to consider entering or exiting positions based on price movements relative to the EMA.
In short, the "Optimal MA Finder" empowers traders by delivering data-driven insights and improving the effectiveness of trading strategies. Its clear logic, combined with robust automation, makes it an invaluable tool for both novice and experienced traders seeking consistent results.
Max/Min LevelsHighlights highs and lows that match the search criteria. A high is considered to be broken if the candlestick breaks through its shadow
A three-candlestick pattern will match the parameters:
Candle before - 1
Candle after - 1
A five-candlestick pattern will match the parameters:
Candle before - 2
Candle after - 2
Bar Replay Fix - Smooth Candle Transition for TradingViewThe Bar Replay Fix indicator addresses a known issue in TradingView’s Bar Replay mode, where the last completed candle is incorrectly drawn when switching from a lower timeframe to a higher one. This issue can create confusion during analysis, especially when replaying historical price action.
Key Features:
Accurate Candle Rendering: Ensures that candles are displayed correctly in Bar Replay mode by referencing and plotting the previous candle data.
Customizable Appearance: Configure the candle body, wick, and border colors for bullish, bearish, and doji candles to match your chart theme.
Seamless Integration: Works invisibly in the background to provide a smoother and more reliable replay experience.
Use Cases:
Enhance your backtesting accuracy by eliminating incorrect candle rendering during Bar Replay.
Maintain consistency in candle visualization when transitioning between timeframes in Replay mode.
Disclaimer: This indicator is specifically designed to resolve a visual issue in Bar Replay mode and does not provide any trading signals or analysis recommendations.
Hidden SMT Divergence ICT 01 [TradingFinder] HSMT SMC Technique🔵 Introduction
Hidden SMT Divergence, an advanced concept within the Smart Money Technique (SMT), identifies discrepancies between correlated assets by focusing on their closing prices.
Unlike the standard SMT Divergence, which uses high and low prices for analysis, Hidden SMT Divergence uncovers subtle signals by examining divergences based on the assets' closing values.
These divergences often highlight potential reversals or trend continuations, making this technique a valuable tool for traders aiming to anticipate market movements.
This approach applies across various markets and asset classes, including :
Commodities : CAPITALCOM:GOLD vs. CAPITALCOM:SILVER or BLACKBULL:BRENT vs. BLACKBULL:WTI .
Indices : NASDAQ:NDX vs. TVC:SPX vs. FX:US30 .
FOREX : FX:EURUSD vs. OANDA:GBPUSD vs. TVC:DXY (US Dollar Index).
Cryptocurrencies : BITSTAMP:BTCUSD vs. COINBASE:ETHUSD vs. KUCOIN:SOLUSDT vs. CRYPTOCAP:TOTAL3 .
Volatility Measures : FOREXCOM:XAUUSD vs. TVC:VIX (Volatility Index).
By identifying divergences within these asset groups, traders can gain actionable insights into potential market reversals or shifts in trend direction. Hidden SMT Divergence is particularly effective for pinpointing subtle market signals that traditional methods may overlook.
Bullish Hidden SMT Divergence : This divergence emerges when one asset forms a higher low, while the correlated asset creates a lower low in terms of their closing prices. It often signals weakening downward momentum and a potential reversal to the upside.
Bearish Hidden SMT Divergence : This occurs when one asset establishes a higher high, while the correlated asset forms a lower high based on their closing prices. It typically reflects declining upward momentum and a probable shift to the downside.
🔵 How to Use
The Hidden SMT Divergence indicator provides traders with a systematic approach to identify market reversals or trend continuations through divergences in closing prices between two correlated assets.
🟣 Bullish Hidden SMT Divergence
Bullish Hidden SMT Divergence occurs when the closing price of the primary asset forms a higher low, while the correlated asset creates a lower low. This pattern indicates weakening downward momentum and signals a potential reversal to the upside.
After identifying the divergence, confirm it using additional tools like support levels, volume trends, or indicators such as RSI and MACD. Enter a buy position as the price shows signs of reversal near support zones, ensuring proper risk management by placing a stop-loss below the support level.
Bearish Hidden SMT Divergence
Bearish Hidden SMT Divergence is identified when the closing price of the primary asset forms a higher high, while the correlated asset creates a lower high. This divergence suggests a weakening uptrend and a likely reversal to the downside.
Validate the signal by examining resistance levels, declining volume, or complementary indicators. Consider entering a sell position as the price starts declining from resistance levels, and set a stop-loss above the resistance zone to limit potential losses.
🔵 Setting
Second Symbol : Select the secondary asset to compare with the primary asset. By default, "XAUUSD" (Gold) is used, but it can be customized to any stock, cryptocurrency, or currency pair.
Divergence Fractal Periods : Defines the number of past candles considered for identifying divergences. The default value is 2, but traders can adjust it for greater precision.
Bullish Divergence Line : Displays a dashed line connecting the points of bullish divergence.
Bearish Divergence Line : Shows a similar line for bearish divergence points.
Bullish Divergence Label : Marks areas of bullish divergence with a "+SMT" label.
Bearish Divergence Label : Highlights bearish divergences with a "-SMT" label.
Chart Type : Choose between Line or Candle charts for enhanced visualization.
🔵 Conclusion
Hidden SMT Divergence offers traders a refined method for identifying market reversals by analyzing closing price discrepancies between correlated assets. Its ability to uncover subtle divergences makes it an essential tool for traders who aim to stay ahead of market trends.
By integrating this technique with other technical analysis tools and sound risk management, traders can enhance their decision-making process and capitalize on market opportunities with greater confidence.
Hidden SMT Divergence’s focus on closing prices ensures more precise signals, helping traders refine their strategies across various markets, including Forex, commodities, indices, and cryptocurrencies.
Its open-source nature allows for customization and verification, providing transparency and flexibility to suit diverse trading needs. Hidden SMT Divergence stands as a powerful addition to the arsenal of any trader seeking to unlock hidden opportunities in dynamic financial markets.
Multi-Period CorrelationDescription:
The “Correlation Coefficient - Multi Periods” indicator allows you to analyze the correlation between the price of the chart’s asset and another specified asset across multiple time periods simultaneously. It provides a visual representation of how closely the two assets move in relation to each other over user-defined lengths, helping traders and analysts identify relationships, diversification opportunities, and potential hedging strategies.
Features:
• Multi-Period Correlation: Input multiple periods (e.g., 20, 50, 100) to see correlations across different timeframes on the same chart.
• Customizable Asset: Choose any symbol to compare against the current asset.
• Dynamic Visualization: Each correlation is plotted with a unique color for easy distinction.
• Validation: Warns the user if invalid inputs are provided for the lengths, ensuring accuracy.
• Reference Lines: Horizontal lines at 1, 0, and -1 for quick interpretation:
• 1: Perfect positive correlation.
• 0: No correlation.
• -1: Perfect negative correlation.
Use Cases:
• Portfolio Analysis: Evaluate how an asset correlates with another to assess diversification.
• Market Analysis: Identify trends and relationships between stocks, indices, or other financial instruments.
• Risk Management: Understand correlation to optimize hedging strategies and reduce portfolio risk.
This indicator is ideal for traders and investors seeking to make informed decisions by understanding inter-market relationships and their dynamics over time.
[blackcat] L1 Abnormal Volume Monitor█ OVERVIEW
The script is an indicator designed to monitor abnormal volume patterns in the market. It calculates and plots moving average volumes, identifies triple volume bars, and detects potential large order entries based on specific conditions.
█ FEATURES
• Input Parameters: The script defines parameters M1, M2, and lbk which control the calculation of moving averages and the lookback period for detecting abnormal volume.
• Calculations: The script calculates two moving averages of volume (MAVOL1 and MAVOL2), a smoothed price level (mm), and identifies conditions for triple volume bars and large order entries.
• Plotting: The script plots volume histograms for up and down bars, moving average volumes, and highlights triple volume bars with and without large order entries.
• Conditional Statements: The script uses conditional statements to determine when to plot certain data points and labels based on the calculated conditions.
█ LOGICAL FRAMEWORK
• xfl(cond, lbk): This function checks if a condition (cond) has been true within a specified lookback period (lbk). It returns true if the condition has been met and false otherwise.
• Parameters: cond (condition to check), lbk (lookback period).
• Return Value: outb (boolean indicating if the condition was met within the lookback period).
• abnormal_vol_monitor(close, open, high, low, volume, M1, M2, lbk): This function calculates moving average volumes, identifies triple volume bars, and detects large order entries.
• Parameters: close, open, high, low, volume (price and volume data), M1, M2 (periods for moving averages), lbk (lookback period).
• Return Value: A tuple containing MAVOL1, MAVOL2, xa (large order entry condition), and tripleVolume (triple volume condition).
█ KEY POINTS AND TECHNIQUES
• Moving Averages: The script uses simple moving averages (sma) and exponential moving averages (ema) to smooth volume data.
• Volume Analysis: The script identifies triple volume bars and large order entries based on specific conditions, such as volume doubling and price increases.
• Lookback Period: The xfl function uses a lookback period to ensure the accuracy of the detected conditions.
• Plotting Techniques: The script uses different plot styles and colors to distinguish between up bars, down bars, moving averages, and abnormal volume patterns.
█ EXTENDED KNOWLEDGE AND APPLICATIONS
• Modifications: The script could be modified to include additional conditions for detecting other types of abnormal volume patterns or to adjust the sensitivity of the detection.
• Extensions: Similar techniques could be applied to other financial instruments or timeframes to identify unusual trading activity.
• Related Concepts: The script utilizes concepts such as moving averages, exponential moving averages, and conditional plotting, which are fundamental in Pine Script and technical analysis.
Volume-Weighted Delta Strategy[Kopottaja]Volume-Weighted Delta Strategy
The Volume-Weighted Delta Strategy combines price movement and trading volume to identify potential bullish and bearish market conditions. The strategy calculates a delta value that measures the difference between the close and open prices, weighted by volume over a specified period. This delta is compared against its moving average (SMA) to determine potential trend changes. Key features include:
Volume-Weighted Delta Calculation:
The delta is calculated by summing up the volume-weighted differences between close and open prices over the defined length (Delta Length).
Trend Identification:
If the delta value crosses above its SMA, the strategy interprets this as a bullish condition.
If the delta value crosses below its SMA, the strategy interprets this as a bearish condition.
EMA Integration:
A 20-period EMA is included as an additional trend indicator. The EMA line changes color based on whether the delta value is above or below its SMA:
Green: Bullish (delta > SMA)
Red: Bearish (delta < SMA)
Volume Filter:
A volume threshold can be applied to ensure trades are only executed when significant volume is present, helping to avoid false signals in low-volume conditions.
Entry Conditions:
Buy: When the delta crosses below its SMA (bearish signal).
Sell: When the delta crosses above its SMA (bullish signal).
Customizable Inputs:
Length for delta calculation (Delta Length)
Length for moving average (MA Length)
Volume threshold for trade activation
Optimal Timeframes:
This strategy works best on the 4-hour and 1-day timeframes, where volume and price trends are more stable, reducing noise from smaller timeframes.
How It Works:
This strategy is ideal for traders leveraging the relationship between price movement, volume, and trend indicators. Focusing on volume-weighted price action aims to provide a clearer picture of market sentiment, improving the accuracy of entry and exit signals.
[blackcat] L1 Institutional Golden Bottom Indicator█ OVERVIEW
The script " L1 Institutional Golden Bottom Indicator" is an indicator designed to identify potential institutional buying interest or a "golden bottom" in the market. It calculates a series of values based on price movements and plots them on a chart to help traders make informed decisions.
█ LOGICAL FRAMEWORK
The script is structured into several main sections:
1 — Function Definitions: Custom functions xsa and calculate_institutional_golden_bottom are defined.
2 — Input Parameters: The user can set a threshold value for institutional interest.
3 — Calculations: The script calculates various indicators and conditions, including the institutional buy signal.
4 — Plotting: The results of the calculations are plotted on the chart.
5 — Labeling: When a golden bottom is detected, a label is placed on the chart.
The flow of data starts with the input parameters, proceeds through the calculation functions, and finally results in plotted outputs and labels.
█ CUSTOM FUNCTIONS
1 — xsa(src, len, wei)
• Purpose: To calculate a weighted moving average.
• Parameters:
– src: Source data (e.g., price).
– len: Length of the moving average.
– wei: Weighting factor.
• Return Value: The calculated weighted moving average.
2 — calculate_institutional_golden_bottom(close, high, low, threshold)
• Purpose: To determine the institutional golden bottom indicator.
• Parameters:
– close: Closing price.
– high: Highest price.
– low: Lowest price.
– threshold: User-defined threshold for institutional interest. By tuning the threshold value the user can properly identify the institutional golden bottom of the instrument. So, I can say this parameter is used to tune the "sensitivity" of this indicator.
• Return Value: An array containing the institutional indicator, golden bottom signal, and additional values (a1, b1, c1, d1).
█ KEY POINTS AND TECHNIQUES
• Weighted Moving Average (WMA): The xsa function implements a weighted moving average, which is useful for smoothing price data.
• Crossover Detection: The script uses a crossover condition to detect when the institutional indicator crosses above the threshold, indicating a potential buying opportunity.
• Conditional Logic: The script includes conditional statements to control the output of certain values only when specific conditions are met.
• Plotting and Labeling: The script uses plot and label.new functions to visualize the indicator and highlight significant events on the chart.
█ EXTENDED KNOWLEDGE AND APPLICATIONS
• Modifications: The script could be enhanced by adding more customizable parameters, such as different lengths for the moving averages or additional conditions for the golden bottom signal.
• Extensions: Similar techniques could be applied to other types of indicators, such as momentum oscillators or trend-following systems to identify market turning points.
• Related Concepts: Understanding weighted moving averages, crossover signals, and conditional plotting in Pine Script would be beneficial for enhancing this script and applying similar logic to other trading strategies.
MA Multi-Timeframe [ChartPrime]The MA Multi-Timeframe indicator is designed to provide multi-timeframe moving averages (MAs) for better trend analysis across different periods. This tool allows traders to monitor up to four different MAs on a single chart, each coming from a selectable timeframe and type (SMA, EMA, SMMA, WMA, VWMA). The indicator helps traders gauge both short-term and long-term price trends, allowing for a clearer understanding of market dynamics.
⯁ KEY FEATURES AND HOW TO USE
⯌ Multi-Timeframe Moving Averages :
The indicator allows traders to select up to four MAs, each from different timeframes. These timeframes can be set in the input settings (e.g., Daily, Weekly, Monthly), and each moving average can be displayed with its corresponding timeframe label directly on the chart.
Example of different timeframes for MAs:
⯌ Moving Average Types :
Users can choose from several types of moving averages, including SMA, EMA, SMMA, WMA, and VWMA, making the indicator adaptable to different strategies and market conditions. This flexibility allows traders to tailor the MAs to their preference.
Example of different types of MAs:
⯌ Dashboard Display :
The indicator includes a built-in dashboard that shows each MA, its timeframe, and whether the price is currently above or below that MA. This dashboard provides a quick overview of the trend across different timeframes, allowing traders to determine whether the overall trend is up or down.
Example of trend overview via the dashboard:
⯌ Polyline Representation :
Each MA is plotted using polylines to avoid plot functions and create a curves across up to 4000 bars back, ensuring that historical data is visualized clearly for a deeper analysis of how the price interacts with these levels over time.
if barstate.islast
for i = 0 to 4000
cp.push(chart.point.from_index(bar_index , ma ))
polyline.delete(polyline.new(cp, curved = false, line_color = color, line_style = style) )
Example of polylines for moving averages:
⯌ Customization Options :
Traders can customize the length of the MAs for all timeframes using a single input. The color, style (solid, dashed, dotted) of each moving average are also customizable, giving users full control over the visual appearance of the indicator on their chart.
Example of custom MA styles:
⯁ USER INPUTS
MA Type : Select the type of moving average for each timeframe (SMA, EMA, SMMA, WMA, VWMA).
Timeframe : Choose the timeframe for each moving average (e.g., Daily, Weekly, Monthly).
MA Length : Set the length for the moving averages, which will be applied to all four MAs.
Line Style : Customize the style of each MA line (solid, dashed, or dotted).
Colors : Set the color for each MA for better visual distinction.
⯁ CONCLUSION
The MA Multi-Timeframe indicator is a versatile and powerful tool for traders looking to monitor price trends across multiple timeframes with different types of moving averages. The dashboard simplifies trend identification, while the customizable options make it easy to adapt to individual trading strategies. Whether you're analyzing short-term price movements or long-term trends, this indicator offers a comprehensive solution for tracking market direction.
Advanced MA and MACD PercentageIntroduction
The "Advanced MA and MACD Percentage" indicator is a powerful and innovative tool designed to help traders analyze financial markets with ease and precision. This indicator combines Moving Averages (MA) with the MACD indicator to assess the market’s overall trend and calculate the percentage of buy and sell signals based on current data.
Features
Multi-Timeframe Analysis:
Allows selecting your preferred timeframe for trend analysis, such as minute, hourly, daily, or weekly charts.
Support for Multiple Moving Average Types:
Offers the option to use either Simple Moving Average (SMA) or Exponential Moving Average (EMA), based on user preference.
Comprehensive MACD Analysis:
Analyzes the relationship between multiple moving averages (e.g., 20/50, 50/100) using MACD to provide deeper insights into market dynamics.
Calculation of Buy and Sell Percentages:
Computes the percentage of indicators signaling buy or sell conditions, providing a clear summary to assist trading decisions.
Intuitive Visual Interface:
Displays buy and sell percentages as two visible lines (green and red) on the chart.
Includes reference lines to clarify the range of percentages (100% to 0%).
How It Works
Moving Averages Calculation:
Calculates moving averages (20, 50, 100, 150, and 200) for the selected timeframe.
MACD Pair Analysis:
Computes the MACD to compare the performance between various moving average pairs, such as (20/50) and (50/100).
Identifying Buy and Sell Signals:
Counts the number of indicators signaling buy (price above MAs or positive MACD histogram).
Converts the count into percentages for both buy and sell signals.
Visual Representation:
Plots buy and sell percentages as clear lines (green for buy, red for sell).
Adds reference lines (100% and 0%) for easier interpretation.
How to Use the Indicator?
Settings:
Choose the type of moving average (SMA or EMA).
Select the timeframe that suits your strategy (e.g., 15 minutes, 1 hour, or daily).
Reading the Results:
If the buy percentage (green line) is above 50%, the overall trend is bullish (buy).
If the sell percentage (red line) is above 50%, the overall trend is bearish (sell).
Integrating Into Your Strategy:
Combine it with other indicators to confirm entry and exit signals.
Use it to quickly understand the market’s overall trend without needing complex manual analysis.
Benefits of the Indicator
Simplified Analysis: Provides a straightforward summary of the market's overall trend.
Adaptable to All Timeframes: Works perfectly on all timeframes.
Customizable: Allows users to adjust settings according to their needs.
Important Notes
This indicator does not provide direct buy or sell signals. Instead, it offers a summary of the market’s condition based on a combination of indicators.
It is recommended to use it alongside other technical analysis tools for precise trading signals.
Conclusion
The "Advanced MA and MACD Percentage" indicator is an ideal tool for traders who want to analyze the market using a combination of Moving Averages and MACD. It gives you a comprehensive overview of the overall trend, helping you make informed and quick trading decisions. Try it now and see the difference!
Alternative Price [OmegaTools]The Alternative Price script is a sophisticated and flexible indicator designed to redefine how traders visualize and interpret price data. By offering multiple unique charting modes, robust customization options, and advanced features, this tool provides a comprehensive alternative to traditional price charts. It is particularly useful for identifying market trends, detecting patterns, and simplifying complex data into actionable insights.
This script is highly versatile, allowing users to choose from five distinct charting modes: Candles, Line, Channel, Renko, and Bubbles. Each mode serves a unique purpose and presents price information in an innovative way. When using this script, it is strongly recommended to hide the platform’s default price candles or chart data. Doing so will eliminate redundancy and provide a clearer and more focused view of the alternative price visualization.
The Candles mode offers a traditional candlestick charting style but with added flexibility. Users can choose to enable smoothed opens or smoothed closes, which adjust the way the open and close prices are calculated. When smoothed opens are enabled, the opening price is computed as the average of the actual open price and the closing prices of the previous two bars. This creates a more gradual representation of price transitions, particularly useful in markets prone to sudden spikes or irregularities. Similarly, smoothed closes modify the closing price by averaging it with the previous close, the high-low midpoint, and an exponential moving average of the high-low-close mean. This technique filters out noise, making trends and price momentum easier to identify.
In the Line mode, the script displays a simple line chart that connects the smoothed closing prices. This mode is ideal for traders who prefer minimalism or need to focus on the overall trend without the distraction of individual bar details. The Channel mode builds upon this by plotting additional lines representing the highs and lows of each bar. The resulting visualization resembles a price corridor that helps identify support and resistance zones or price compression areas.
The Renko mode introduces a more advanced and noise-filtering method of visualizing price movements. Renko charts, constructed using the ATR (Average True Range) as a baseline, display blocks that represent a specific price range. The script dynamically calculates the size of these blocks based on ATR, with separate thresholds for upward and downward movements. This makes Renko mode particularly effective for identifying sustained trends while ignoring minor price fluctuations. Additionally, the open and close values of Renko blocks can be smoothed to further refine the visualization.
The Bubbles mode represents price activity using circles or bubbles whose size corresponds to relative volume. This mode provides a quick and intuitive way to assess market participation at different price levels. Larger bubbles indicate higher trading volumes, while smaller bubbles highlight periods of lower activity. This visualization is particularly valuable in understanding the relationship between price movements and market liquidity.
The coloring of candles and other chart elements is a core feature of this script. Users can select between two color modes: Normal and Volume. In Normal mode, bullish candles are displayed in the user-defined bullish color, while bearish candles use the bearish color. Neutral elements, such as midpoints or undecided price movements, are shaded with a neutral color. In Volume mode, the candle colors are dynamically adjusted based on trading volume. A gradient color scale is applied, where the intensity of the bullish or bearish colors reflects the volume for that particular bar. This feature allows traders to visually identify periods of heightened activity and associate them with specific price movements.
Engulfing patterns, a popular technical analysis tool, are automatically detected and marked on the chart when the corresponding setting is enabled. The script identifies long engulfing patterns, where the current bar's range completely encompasses the previous bar’s range and indicates a potential bullish reversal. Similarly, short engulfing patterns are identified where the current bar fully engulfs the previous bar in the opposite direction, suggesting a bearish reversal. These patterns are visually highlighted with circular markers to draw the trader’s attention.
Each feature and mode is highly customizable. The colors for bullish, bearish, and neutral movements can be personalized, and the thresholds for patterns or smoothing can be fine-tuned to match specific trading strategies. The script's ability to toggle between various modes makes it adaptable to different market conditions and analysis preferences.
In summary, the Alternative Price script is a comprehensive tool that redefines the way traders view price charts. By offering multiple visualization modes, customizable features, and advanced detection algorithms, it provides a powerful way to uncover market trends, volume relationships, and significant patterns. The recommendation to hide default chart elements ensures that the focus remains on this innovative tool, enhancing its usability and clarity. This script empowers traders to gain deeper insights into market behavior and make informed trading decisions, all while maintaining a clean and visually appealing chart layout.
Keep in mind that some of the modes of this indicator might not reflect the actual closing price of the underlying asset, before opening a trade, check carefully the actual price!
Horns Pattern Identifier with alertsUpdated version of LuxAlgo indicator to add the ability to change the displayed line widths and to raise alerts when the pattern is detected.
The original indicator and it's history are at
Their description:
The following script detects regular and inverted horn patterns. Detected patterns are displayed alongside their respective confirmation and take profit levels derived from the pattern measure rule. Breakout of the confirmation levels are highlighted with labels.
DonAlt - Smart Money Toolkit [BigBeluga]DonAlt - Smart Money Toolkit is inspired by the analytical insights of popular crypto influencer DonAlt.
This advanced toolkit integrates smart money concepts with key technical analysis elements to enhance your trading decisions.
🔵 KEY FEATURES:
SUPPORT AND RESISTANCE LEVELS Automatically identifies critical market turning points with significant volume. Levels turn green when the price is above them and red when below, providing a visual cue for key market thresholds.
ORDER BLOCKS: Highlights significant price zones preceding major price movements.
- If the move is down , it searches for the last bullish candle and plots a block from its body.
- If the move is up , it searches for the last bearish candle and creates a block from its body.
These blocks help identify areas of institutional interest and potential reversals.
TRENDLINES: Automatically plots trendlines to identify breakout zones or price accumulation areas.
• Bullish trendlines accumulation form when the current low is higher than the previous low.
• Bearish trendlines accumulation emerge when the current high is lower than the previous high.
• Bullish trendlines Breakout form when the price break above it.
• Bearish trendlines Breakout form when the price break below it.
Volatility Integration: The levels incorporate normalized volatility to ensure only significant zones are highlighted, filtering noise and emphasizing meaningful data.
🔵 WHEN TO USE:
This toolkit is ideal for traders seeking to align with "smart money" strategies by identifying key areas of institutional activity, strong support and resistance zones, and potential breakout setups.
🔵 CUSTOMIZATION:
Toggle the visibility of levels, order blocks, or trendlines to match your trading style and focus.
Colors of the Bull and Bear key features
Extend trendline
Normalised ATR - Configurable Session Volatility AnalysisThis indicator analyzes price volatility across different trading sessions throughout the day. Here are its key features:
1. **Configurable Time Periods**
- Users can set specific date ranges for analysis
- Supports up to 12 customizable trading sessions
- Adjustable session durations (1-8 hours each)
2. **Volatility Measurements**
- Offers two calculation methods:
* Normalized Range: (High-Low)/Midpoint Price × 100 (as percentage)
* Absolute Range: Simple High-Low difference
- Tracks key statistics for each session:
* Maximum range
* Minimum range
* Average range
* 25% quartile range
3. **Statistical Analysis**
- Calculates 5th and 95th percentiles across all sessions
- Provides visual reference lines for these percentiles
- Shows detailed statistics in a color-coded table
4. **Visual Display**
- Clear tabular display of session statistics
- Color-coded for easy reading
- Plot of daily ranges with percentile bounds
- Session times displayed in UTC
This tool is particularly useful for:
- Understanding market volatility patterns across different trading sessions
- Identifying optimal trading hours
- Planning trading strategies based on historical volatility patterns
- Comparing volatility across different market periods
Period Separator & Candle OHLCThis script combines two powerful tools for traders: period separators and custom timeframe-based OHLC (Open, High, Low, Close) data visualization. Here's what it does:
Period Separators:
The script draws vertical lines to indicate the start of new time periods based on a user-defined timeframe (e.g., hourly, daily, weekly).
Users can customize the separator color, line style (solid, dashed, dotted), and width to suit their preferences.
Fetches OHLC data from a higher or custom timeframe (e.g., 4 hours) and overlays it on the current chart.
Users can choose to display the open, high, low, and close prices as dots or circles for easy visualization.
Optionally, the open and close dots can be visually connected with a filled bar for a candlestick-like effect.
The script color-codes the close price relative to the open (green if higher, red if lower) to highlight price direction at a glance.
Fully Customizable:
Users have full control over which OHLC values to display and whether the dots should be filled.
Transparency settings for plotted dots and fills are also adjustable for optimal visibility on different chart styles.
How It Is Useful for Trading:
Timeframe Analysis:
The period separators make it easy to distinguish trading activity across custom time intervals. This is crucial for intraday, swing, and long-term traders who analyze price movements within specific periods.
Multi-Timeframe Insights:
By overlaying OHLC data from a higher timeframe on a lower timeframe chart, traders can identify key support and resistance levels, pivots, and trends that are not immediately visible on the current timeframe.
Trend Recognition:
The color-coded close dots (green for bullish, red for bearish) provide an instant visual cue of market sentiment, helping traders confirm or refute their bias.
Whether you're a scalper, day trader, or position trader, the flexibility in timeframe selection, styling, and data presentation ensures this tool can adapt to your trading strategy.
OBV + Custom MA StrategyFor a long time, the use of the OBV indicator has been relatively monotonous, with its expression and content lacking diversity. Therefore, I'm considering trying new ways of representation.
This "OBV + Custom MA Strategy" indicator combines the On-Balance Volume (OBV) with customizable moving averages (SMA, EMA, or WMA) to provide advanced insights into market trends. The indicator calculates OBV manually and overlays two moving averages: a short-term and a long-term MA. Key features include:
OBV plotted alongside short-term and long-term moving averages for better trend visualization.
Signals generated when OBV crosses the short-term MA or when the short-term MA crosses the long-term MA.
Alerts for bullish and bearish crossovers to help identify potential buy or sell opportunities.
This indicator is suitable for traders looking to incorporate volume dynamics into their strategy while customizing their moving average type and periods.
中文说明
此“OBV + 自定义均线策略”指标结合了成交量指标OBV与可定制的移动均线（SMA、EMA或WMA），为市场趋势分析提供了更多的视角。该指标手动计算OBV，并叠加短期与长期均线，主要特点包括：
绘制OBV以及短期和长期均线，以更清晰地观察趋势。
当OBV上穿/下穿短期均线或短期均线上穿/下穿长期均线时，生成买卖信号。
提供多种看涨和看跌信号的警报，帮助识别潜在的买入或卖出机会。
此指标适合希望将成交量动态纳入策略的交易者，并支持自定义均线类型和周期以满足个性化需求。
PC - HantuGalahThe PC - Hantu Galah indicator is a powerful tool designed for traders seeking to identify significant market momentum and volatility shifts. This indicator features a histogram graph that dynamically adapts to candle size and historical comparisons to highlight critical trading opportunities.
Key Features:
Histogram Visualization: The indicator plots a visually intuitive histogram graph to simplify analysis of candle size dynamics.
Dynamic Color Coding: The histogram turns blue when the current candle size exceeds 22 points and is also larger than the candle size from 20 periods back.
Momentum Detection: This feature makes it easier for traders to spot moments of heightened market activity, potentially signaling strong momentum or breakout scenarios.
This indicator is ideal for traders looking for a straightforward yet effective way to identify periods of high volatility and capitalize on strong price movements.
RSI to Price RatioThe RSI to Price Ratio is a technical indicator designed to provide traders with a unique perspective by analyzing the relationship between the Relative Strength Index (RSI) and the underlying asset's price. Unlike traditional RSI, which is viewed on a scale from 0 to 100, this indicator normalizes the RSI by dividing it by the price, resulting in a dynamic ratio that adjusts to price movements. The histogram format makes it easy to visualize fluctuations, with distinct color coding for overbought (red), oversold (green), and neutral (blue) conditions.
This indicator excels in helping traders identify potential reversal zones and trend continuation signals. Overbought and oversold levels are dynamically adjusted using the price source, making the indicator more adaptive to market conditions. Additionally, the ability to plot these OB/OS thresholds as lines on the histogram ensures traders can quickly assess whether the market is overstretched in either direction. By combining RSI’s momentum analysis with price normalization, this tool is particularly suited for traders who value precision and nuanced insights into market behavior. It can be used as a standalone indicator or in conjunction with other tools to refine entry and exit strategies.
Hybrid Adaptive Double Exponential Smoothing🙏🏻 This is HADES (Hybrid Adaptive Double Exponential Smoothing) : fully data-driven & adaptive exponential smoothing method, that gains all the necessary info directly from data in the most natural way and needs no subjective parameters & no optimizations. It gets applied to data itself -> to fit residuals & one-point forecast errors, all at O(1) algo complexity. I designed it for streaming high-frequency univariate time series data, such as medical sensor readings, orderbook data, tick charts, requests generated by a backend, etc.
The HADES method is:
fit & forecast = a + b * (1 / alpha + T - 1)
T = 0 provides in-sample fit for the current datum, and T + n provides forecast for n datapoints.
y = input time series
a = y, if no previous data exists
b = 0, if no previous data exists
otherwise:
a = alpha * y + (1 - alpha) * a
b = alpha * (a - a ) + (1 - alpha) * b
alpha = 1 / sqrt(len * 4)
len = min(ceil(exp(1 / sig)), available data)
sig = sqrt(Absolute net change in y / Sum of absolute changes in y)
For the start datapoint when both numerator and denominator are zeros, we define 0 / 0 = 1
...
The same set of operations gets applied to the data first, then to resulting fit absolute residuals to build prediction interval, and finally to absolute forecasting errors (from one-point ahead forecast) to build forecasting interval:
prediction interval = data fit +- resoduals fit * k
forecasting interval = data opf +- errors fit * k
where k = multiplier regulating intervals width, and opf = one-point forecasts calculated at each time t
...
How-to:
0) Apply to your data where it makes sense, eg. tick data;
1) Use power transform to compensate for multiplicative behavior in case it's there;
2) If you have complete data or only the data you need, like the full history of adjusted close prices: go to the next step; otherwise, guided by your goal & analysis, adjust the 'start index' setting so the calculations will start from this point;
3) Use prediction interval to detect significant deviations from the process core & make decisions according to your strategy;
4) Use one-point forecast for nowcasting;
5) Use forecasting intervals to ~ understand where the next datapoints will emerge, given the data-generating process will stay the same & lack structural breaks.
I advise k = 1 or 1.5 or 4 depending on your goal, but 1 is the most natural one.
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Why exponential smoothing at all? Why the double one? Why adaptive? Why not Holt's method?
1) It's O(1) algo complexity & recursive nature allows it to be applied in an online fashion to high-frequency streaming data; otherwise, it makes more sense to use other methods;
2) Double exponential smoothing ensures we are taking trends into account; also, in order to model more complex time series patterns such as seasonality, we need detrended data, and this method can be used to do it;
3) The goal of adaptivity is to eliminate the window size question, in cases where it doesn't make sense to use cumulative moving typical value;
4) Holt's method creates a certain interaction between level and trend components, so its results lack symmetry and similarity with other non-recursive methods such as quantile regression or linear regression. Instead, I decided to base my work on the original double exponential smoothing method published by Rob Brown in 1956, here's the original source , it's really hard to find it online. This cool dude is considered the one who've dropped exponential smoothing to open access for the first time🤘🏻
R&D; log & explanations
If you wanna read this, you gotta know, you're taking a great responsability for this long journey, and it gonna be one hell of a trip hehe
Machine learning, apprentissage automatique, машинное обучение, digital signal processing, statistical learning, data mining, deep learning, etc., etc., etc.: all these are just artificial categories created by the local population of this wonderful world, but what really separates entities globally in the Universe is solution complexity / algorithmic complexity.
In order to get the game a lil better, it's gonna be useful to read the HTES script description first. Secondly, let me guide you through the whole R&D; process.
To discover (not to invent) the fundamental universal principle of what exponential smoothing really IS, it required the review of the whole concept, understanding that many things don't add up and don't make much sense in currently available mainstream info, and building it all from the beginning while avoiding these very basic logical & implementation flaws.
Given a complete time t, and yet, always growing time series population that can't be logically separated into subpopulations, the very first question is, 'What amount of data do we need to utilize at time t?'. Two answers: 1 and all. You can't really gain much info from 1 datum, so go for the second answer: we need the whole dataset.
So, given the sequential & incremental nature of time series, the very first and basic thing we can do on the whole dataset is to calculate a cumulative , such as cumulative moving mean or cumulative moving median.
Now we need to extend this logic to exponential smoothing, which doesn't use dataset length info directly, but all cool it can be done via a formula that quantifies the relationship between alpha (smoothing parameter) and length. The popular formulas used in mainstream are:
alpha = 1 / length
alpha = 2 / (length + 1)
The funny part starts when you realize that Cumulative Exponential Moving Averages with these 2 alpha formulas Exactly match Cumulative Moving Average and Cumulative (Linearly) Weighted Moving Average, and the same logic goes on:
alpha = 3 / (length + 1.5) , matches Cumulative Weighted Moving Average with quadratic weights, and
alpha = 4 / (length + 2) , matches Cumulative Weighted Moving Average with cubic weghts, and so on...
It all just cries in your shoulder that we need to discover another, native length->alpha formula that leverages the recursive nature of exponential smoothing, because otherwise, it doesn't make sense to use it at all, since the usual CMA and CMWA can be computed incrementally at O(1) algo complexity just as exponential smoothing.
From now on I will not mention 'cumulative' or 'linearly weighted / weighted' anymore, it's gonna be implied all the time unless stated otherwise.
What we can do is to approach the thing logically and model the response with a little help from synthetic data, a sine wave would suffice. Then we can think of relationships: Based on algo complexity from lower to higher, we have this sequence: exponential smoothing @ O(1) -> parametric statistics (mean) @ O(n) -> non-parametric statistics (50th percentile / median) @ O(n log n). Based on Initial response from slow to fast: mean -> median Based on convergence with the real expected value from slow to fast: mean (infinitely approaches it) -> median (gets it quite fast).
Based on these inputs, we need to discover such a length->alpha formula so the resulting fit will have the slowest initial response out of all 3, and have the slowest convergence with expected value out of all 3. In order to do it, we need to have some non-linear transformer in our formula (like a square root) and a couple of factors to modify the response the way we need. I ended up with this formula to meet all our requirements:
alpha = sqrt(1 / length * 2) / 2
which simplifies to:
alpha = 1 / sqrt(len * 8)
^^ as you can see on the screenshot; where the red line is median, the blue line is the mean, and the purple line is exponential smoothing with the formulas you've just seen, we've met all the requirements.
Now we just have to do the same procedure to discover the length->alpha formula but for double exponential smoothing, which models trends as well, not just level as in single exponential smoothing. For this comparison, we need to use linear regression and quantile regression instead of the mean and median.
Quantile regression requires a non-closed form solution to be solved that you can't really implement in Pine Script, but that's ok, so I made the tests using Python & sklearn:
paste.pics
^^ on this screenshot, you can see the same relationship as on the previous screenshot, but now between the responses of quantile regression & linear regression.
I followed the same logic as before for designing alpha for double exponential smoothing (also considered the initial overshoots, but that's a little detail), and ended up with this formula:
alpha = sqrt(1 / length) / 2
which simplifies to:
alpha = 1 / sqrt(len * 4)
Btw, given the pattern you see in the resulting formulas for single and double exponential smoothing, if you ever want to do triple (not Holt & Winters) exponential smoothing, you'll need len * 2 , and just len * 1 for quadruple exponential smoothing. I hope that based on this sequence, you see the hint that Maybe 4 rounds is enough.
Now since we've dealt with the length->alpha formula, we can deal with the adaptivity part.
Logically, it doesn't make sense to use a slower-than-O(1) method to generate input for an O(1) method, so it must be something universal and minimalistic: something that will help us measure consistency in our data, yet something far away from statistics and close enough to topology.
There's one perfect entity that can help us, this is fractal efficiency. The way I define fractal efficiency can be checked at the very beginning of the post, what matters is that I add a square root to the formula that is not typically added.
As explained in the description of my metric QSFS , one of the reasons for SQRT-transformed values of fractal efficiency applied in moving window mode is because they start to closely resemble normal distribution, yet with support of (0, 1). Data with this interesting property (normally distributed yet with finite support) can be modeled with the beta distribution.
Another reason is, in infinitely expanding window mode, fractal efficiency of every time series that exhibits randomness tends to infinitely approach zero, sqrt-transform kind of partially neutralizes this effect.
Yet another reason is, the square root might better reflect the dimensional inefficiency or degree of fractal complexity, since it could balance the influence of extreme deviations from the net paths.
And finally, fractals exhibit power-law scaling -> measures like length, area, or volume scale in a non-linear way. Adding a square root acknowledges this intrinsic property, while connecting our metric with the nature of fractals.
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I suspect that, given analogies and connections with other topics in geometry, topology, fractals and most importantly positive test results of the metric, it might be that the sqrt transform is the fundamental part of fractal efficiency that should be applied by default.
Now the last part of the ballet is to convert our fractal efficiency to length value. The part about inverse proportionality is obvious: high fractal efficiency aka high consistency -> lower window size, to utilize only the last data that contain brand new information that seems to be highly reliable since we have consistency in the first place.
The non-obvious part is now we need to neutralize the side effect created by previous sqrt transform: our length values are too low, and exponentiation is the perfect candidate to fix it since translating fractal efficiency into window sizes requires something non-linear to reflect the fractal dynamics. More importantly, using exp() was the last piece that let the metric shine, any other transformations & formulas alike I've tried always had some weird results on certain data.
That exp() in the len formula was the last piece that made it all work both on synthetic and on real data.
^^ a standalone script calculating optimal dynamic window size
Omg, THAT took time to write. Comment and/or text me if you need
...
"Versace Pip-Boy, I'm a young gun coming up with no bankroll" 👻
∞
Buy Low Sell High Composite Upgraded V6 [kristian6ncqq]NOTICE: This script is an upgraded and enhanced version of the original "Buy Low Sell High Composite" indicator by (published in 2017).
The original script provided a composite indicator combining multiple technical analysis metrics such as RSI, MACD, and MFI.
Why I Republished This Script
I found the original indicator to be exceptionally useful for identifying optimal accumulation zones for stocks or assets when prices are low (red area) and potential profit-taking zones when prices are high (green area).
To ensure it remains accessible and functional for modern trading strategies, I have updated and enhanced the original version with additional features and flexibility.
Intended Use
This indicator is designed for traders and investors looking to:
Accumulate stocks or assets when the price is in the low (red) zone.
Take profits or reduce positions when the price is in the high (green) zone.
The composite score provides a clear visualization of multiple technical indicators combined into a single actionable signal.
Enhancements in This Version
Updated to Pine Script v6 (from version 3).
Added input parameters for key settings (e.g., RSI length, MACD parameters, smoothing).
Introduced Chande Momentum Oscillator (CMO) and directional ADX for improved trend detection.
Implemented slope-based trend coloring for outer edges to highlight significant changes in trend direction.
Enhanced visualizations with customizable thresholds and smoothing for improved usability.
Credits
Original script: "Buy Low Sell High Composite" by , 2017.
URL to the original script: Buy Low Sell High Composite.
This script is designed to build upon the strengths of the original while adding flexibility and new features to meet the needs of modern traders.
