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 Teor. Veroyatnost. i Primenen.: Year: Volume: Issue: Page: Find

 Teor. Veroyatnost. i Primenen., 1959, Volume 4, Issue 4, Pages 369–397 (Mi tvp4898)

Asymptotic Analysis of the Distribution of the Maximum Deviation in the Bernoulli Scheme

V. S. Korolyuk

Kiev

Abstract: Methods are given for constructing asymptotic expansions for the maximum deviation distribution in the Bernoulli scheme and in its limiting case, the Poisson scheme. The paper contains a review of results on the asymptoticity of distributions of the maximum deviations between a theoretical and an empirical distribution function, and also between two empirical distribution functions.

Full text: PDF file (2656 kB)

English version:
Theory of Probability and its Applications, 1959, 4:4, 339–366

Document Type: Article

Citation: V. S. Korolyuk, “Asymptotic Analysis of the Distribution of the Maximum Deviation in the Bernoulli Scheme”, Teor. Veroyatnost. i Primenen., 4:4 (1959), 369–397; Theory Probab. Appl., 4:4 (1959), 339–366

Citation in format AMSBIB
\Bibitem{Kor59} \by V.~S.~Korolyuk \paper Asymptotic Analysis of the Distribution of the Maximum Deviation in the Bernoulli Scheme \jour Teor. Veroyatnost. i Primenen. \yr 1959 \vol 4 \issue 4 \pages 369--397 \mathnet{http://mi.mathnet.ru/tvp4898} \transl \jour Theory Probab. Appl. \yr 1959 \vol 4 \issue 4 \pages 339--366 \crossref{https://doi.org/10.1137/1104035}