Cover: A new approach to the Kolmogorov-Smirnov distributions.

A new approach to the Kolmogorov-Smirnov distributions.

Published 1957

by D. A. Darling

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A theory for calculating the Kolmogorov-Smirnov distributions, which is based on a combination of (1) the observation that the empirical distribution function of a sample of data is merely a scaled and normalized Poisson process and (2) certain analytical methods developed for calculating the distribution of certain additive functionals of Markov processes. The Smirnov distribution of the one-sided deviation is determined, together with the error terms in asymptotic distribution of this statistic and the von Mises w# criterion.

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