Teoriâ veroâtnostej i ee primeneniâ, Tome 6 (1961) no. 2, pp. 202-215
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V. A. Volkonskii; Yu. A. Rozanov. Some Limit Theorems for Random Functions. II. Teoriâ veroâtnostej i ee primeneniâ, Tome 6 (1961) no. 2, pp. 202-215. http://geodesic.mathdoc.fr/item/TVP_1961_6_2_a4/
@article{TVP_1961_6_2_a4,
author = {V. A. Volkonskii and Yu. A. Rozanov},
title = {Some {Limit} {Theorems} for {Random} {Functions.~II}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {202--215},
year = {1961},
volume = {6},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1961_6_2_a4/}
}
TY - JOUR
AU - V. A. Volkonskii
AU - Yu. A. Rozanov
TI - Some Limit Theorems for Random Functions. II
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1961
SP - 202
EP - 215
VL - 6
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1961_6_2_a4/
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%J Teoriâ veroâtnostej i ee primeneniâ
%D 1961
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%F TVP_1961_6_2_a4
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.
