Pointwise CLT for the Empirical CDF

Visualizing convergence to N(0,1) at multiple quantiles

šŸ“Š Interactive Visualization Guide

This visualization demonstrates Donsker's theorem: For each fixed x, the standardized empirical CDF Zn(x) = √nĀ·(FĢ‚n(x) - F(x))/√[F(x)Ā·(1-F(x))] converges to N(0,1). Hover over panels to see detailed statistics. Larger sample sizes should show better alignment with the white normal curve.

Convergence Statistics