OPEN-SOURCE SCRIPT
Fractal Dimension (Katz, Quant Lab)

This indicator estimates the Katz Fractal Dimension of the price series over a rolling window.
It computes:
• L = sum of absolute price changes within the window
• d = maximum distance between any point and the first point in the window
• n = window length
Then applies Katz’s formula:
FDI = ln(n) / (ln(n) + ln(d / L))
The resulting Fractal Dimension typically lies between 1.0 and 2.0:
• FDI ≈ 1.0–1.3 → Strong, directional trend (low randomness)
• FDI ≈ 1.3–1.5 → Mixed / transitional behavior
• FDI ≈ 1.5–2.0 → Noisy, choppy, mean-reverting / range market
It computes:
• L = sum of absolute price changes within the window
• d = maximum distance between any point and the first point in the window
• n = window length
Then applies Katz’s formula:
FDI = ln(n) / (ln(n) + ln(d / L))
The resulting Fractal Dimension typically lies between 1.0 and 2.0:
• FDI ≈ 1.0–1.3 → Strong, directional trend (low randomness)
• FDI ≈ 1.3–1.5 → Mixed / transitional behavior
• FDI ≈ 1.5–2.0 → Noisy, choppy, mean-reverting / range market
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开源脚本
秉承TradingView的精神,该脚本的作者将其开源,以便交易者可以查看和验证其功能。向作者致敬!您可以免费使用该脚本,但请记住,重新发布代码须遵守我们的网站规则。
免责声明
这些信息和出版物并非旨在提供,也不构成TradingView提供或认可的任何形式的财务、投资、交易或其他类型的建议或推荐。请阅读使用条款了解更多信息。