Return distribution

Shape of system results: frequency, dispersion, and tails of returns.

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Who this is for — Traders who want to read system quality beyond total profit. Useful when deciding size, trade frequency, and psychological tolerance for negative periods.

In plain terms — The distribution describes how results spread: many small trades, a few large trades, or rare but heavy losses.

Prerequisites — Complete first silver-path (min.: setup, expectancy, win-rate, sample-size). Foundation: bronze-path.

What to observe in the distribution

The first indicators are centre, dispersion, and curve shape. Dispersion is measured with variance and standard-deviation; shape requires asymmetry and tail analysis. A system can have positive expectancy yet be fragile if it depends on very few exceptional trades. Splitting results by market context makes the reading far more useful for operational decisions.

Example — Two strategies close the year at +20R. The first earns steadily between −1R and +2R; the second takes many small losses and two trades at +15R. The second is harder to sustain and replicate.

Impact on risk and management

A stable distribution eases emotional control and capital planning. Distributions with extreme tails require stricter limits on size and daily risk. When many extreme observations appear, fat-tails becomes relevant. The goal is not to eliminate variability, but to understand whether the result profile stays consistent with your plan.

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  • What it is: statistical map of system results.
  • How to use it: define size limits and realistic expectations.
  • Typical mistake: judging the method only by average return.

Gold path — Module: Edge and statistical advantage. Part of gold-path.