Some Limit Theorems for Random Functions. II

1961/01/01 by V. A. Volkonskii, В. А. Волконский, Yu. A. Rozanov · 7 citations
Computer Science · Decision Sciences · #Bayesian Methods and Mixture Models #Probability and Risk Models

paper · doi:10.1137/1106023

crossref issued 1961/01/01 · crossref published 1961/01/01 · crossref published-print 1961/01/01 · openalex publication_date 1961/01/01 · crossref created 2005/03/07 · crossref deposited 2017/01/29 · openalex created_date 2025/10/10 · crossref indexed 2026/07/31 · openalex updated_date 2026/08/01

Abstract

This paper is a continuation of the one published in Volume IV, No. 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.

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