Order Statistics & Extremes

Analyze sorted random samples through minima, maxima, medians and general ranks. Derive event probabilities, use uniform order-statistic beta laws, and explore transformed ranks, bias correction and dependence between extremes.

Prerequisites: CDFs, independence, differentiation, binomial probabilities and beta distributions. Includes single-select and multiselect practice with worked explanations and misconception analysis. Questions are independently answerable; local learning order progresses from foundations to analytical challenges.