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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1962 Volume 7, Issue 4, Pages 393–409 (Mi tvp4737)

This article is cited in 7 papers

Asymptotic Analysis of Distributions of Maximum Deviations in a Lattice Random Walk

V. S. Korolyuk

Mathematics Institute, Academy of Sciences of the Ukrainian SSR

Abstract: An algorithm is described for constructing asymptotic expansions of distributions for maximum deviations of normalized sums of independent uniformly distributed stochastic lattice variables having finite moments of a rather high order. Asymptotic analysis of equations having a small parameter is employed.

Received: 30.11.1960


 English version:
Theory of Probability and its Applications, 1962, 7:4, 383–401


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