Some Limit Theorems for Random Functions. II

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.