Probability theory remains a practical dependency for trading systems, from strategy PnL…

MQL5 Algo Trading, @mql5dev

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Probability theory remains a practical dependency for trading systems, from strategy PnL estimates to risk models. Modern ML also inherits classical statistics: neural nets are probabilistic models optimized via maximum likelihood, with predictable strengths and limits. A random variable is a deterministic function X(ω) on an assumed probability space Ω, used because Ω is rarely tractable directly. The working representation is the distribution on R via the CDF F(x)=P(X≤x), which supports interval probabilities by differences F(b)-F(a). Distributions split into discrete (PMF with point masses, stepwise CDF), continuous (PDF as dF/dx, interval probabilities via integrals), and mixed. Degenerate variables map all outcomes to a constant and appear in convergence results like LLN. Practical tooling includes CDF/PDF and QQ comparisons and MQL5 standard library... 👉 Read | Quotes | @mql5dev

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