Hurst Exponent

Long-term memory / trend-vs-mean-reversion regime.

What is the Hurst Exponent?

The Hurst Exponent (H) measures long-term memory in a price series using Rescaled Range (R/S) analysis over 100 periods. H = 0.5 indicates a random walk; deviations reveal persistent or anti-persistent behavior.

Parameters (100-period R/S)

  • Trending: H > 0.55 — persistent, trend-following regime
  • Random Walk: 0.45 ≤ H ≤ 0.55 — no exploitable pattern
  • Mean-Reverting: H < 0.45 — anti-persistent, oscillating

Interpretation

  • Trending: H > 0.55 favors momentum strategies
  • Random Walk: H ≈ 0.5 — market is efficient / random
  • Mean-Reverting: H < 0.45 favors mean-reversion strategies
  • Hurst is asset-class agnostic — same thresholds for crypto

Trading Signals

  • H above 0.55 = trending regime — favor trend-following
  • H below 0.45 = mean-reverting regime — favor range strategies
  • H near 0.5 = random walk — low edge, size down

Price Overlay

  • Close Price: Daily closing price (right Y-axis)
  • H > 0.55 + trending price = momentum strategy confirmed
  • H < 0.45 + ranging price = mean reversion strategy confirmed
  • Hurst regime shift + price direction change = strategy rotation signal

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