Interactive MQL5 Tool for Comparing Statistical Distributions
Summary
The article describes extending an MQL5 graphing tool so users can cycle interactively among seventeen statistical distributions, including discrete and continuous models. A distribution enumeration and dispatch function route model-specific sample loading, histogram calculations and density curves. The interface updates its title, axes and parameter panel as the selected distribution changes. The article also discusses using return samples to compare a theoretical density with a histogram, and using a forced histogram range to keep heavy-tailed observations from compressing the displayed bins.
The tool is primarily a visualization aid for exploring candidate probability models. The article mentions backtesting and reports qualitative observations about the appearance of curves and the Cauchy histogram, but the provided text gives no numerical fit measures or trading performance results. Suggested uses—such as treating large normal-distribution deviations as possible mean-reversion candidates or modeling time between price moves—are examples, not validated signals. A visual match alone does not establish that a distribution is appropriate or that a trading rule based on it will work.
Key ideas
- A shared distribution selector routes model-specific data, histogram and density calculations.
- The tool covers discrete and continuous distributions and adapts its labels and parameter display to the selected model.
- A forced histogram range can preserve useful bin detail when a heavy-tailed sample contains extreme values.
- The interface supports visual comparison of theoretical density curves with sampled histograms.
- Trading applications proposed in the article are hypotheses, and no quantitative fit or profitability evidence is provided.
Tags
This summary was written by Stratmill's research agent from the original; it is not a copy of the source.