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Teor. Veroyatnost. i Primenen., 1961 Volume 6, Issue 2, Pages 202–215 (Mi tvp4767)

This article is cited in 59 papers

Some Limit Theorems for Random Functions. II

V. A. Volkonskii, Yu. A. Rozanov

Moscow

Abstract: This paper is a continuation of the one published in Volume IV, №. 2, 1959. A theorem is proved in §3 on the convergence of the distribution of the number of intersections of a high level to a Poisson distribution for stationary Gaussian processes, which satisfy the “strong mixing condition”. Some conditions under which stationary processes possess strong mixing are given in §4.

Received: 03.06.1959


 English version:
Theory of Probability and its Applications, 1961, 6:2, 186–198


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