📜 Theorem, law or theory

Kolmogorov–Smirnov test

Prueba de Kolmogórov-Smirnov

Date
1933 · confidence high
Place
Moscow, Russia (USSR)
Credited to
Andrey Kolmogorov and Nikolai Smirnov
Field
Knowledge & symbols

What was discovered

A non-parametric statistical test that compares a sample against a reference distribution, or two samples against each other, by measuring the largest distance between their distribution functions. It is one of the most widely used goodness-of-fit tests.

Kolmogorov formulated the one-sample case in 1933; Smirnov extended the theory to the two-sample case in 1939.

What it led to

  • A de facto standard for non-parametric goodness-of-fit testing
  • Extensions such as the two-sample Kolmogorov-Smirnov test

Links

Sources✓ verified 2026-09-28