Accession Number : AD0606584

Title :   A NEW APPROACH TO THE KOLMOGOROV-SMIRNOV DISTRIBUTIONS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Darling,D. A.

Report Date : 04 OCT 1957

Pagination or Media Count : 29

Abstract : The present approach is based on a combination firstly of the observation that the empirical distribution function of a sample of data is merely a scaled and normalized Poisson process, and secondly of certain analytical methods which have been developed in the past few years for calculating the distribution of certain additive functionals of Markov processes. In general the methods in this paper isolate the analytical difficulties in certain functional equations whose solution may be very difficult; but it seems quite powerful in obtaining asymptotic expansions.

Descriptors :   (*STATISTICAL DISTRIBUTIONS, STATISTICAL PROCESSES), (*STATISTICAL PROCESSES, STATISTICAL DISTRIBUTIONS), STATISTICAL FUNCTIONS, DISTRIBUTION THEORY, EQUATIONS, STOCHASTIC PROCESSES, INTEGRAL TRANSFORMS, MEASURE THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE