Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 4, pp. 463-470
Citer cet article
Ya. G. Sinai. On Higher Order Spectral Measures of Ergodic Stationary Processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 4, pp. 463-470. http://geodesic.mathdoc.fr/item/TVP_1963_8_4_a6/
@article{TVP_1963_8_4_a6,
author = {Ya. G. Sinai},
title = {On {Higher} {Order} {Spectral} {Measures} of {Ergodic} {Stationary} {Processes}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {463--470},
year = {1963},
volume = {8},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1963_8_4_a6/}
}
TY - JOUR
AU - Ya. G. Sinai
TI - On Higher Order Spectral Measures of Ergodic Stationary Processes
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1963
SP - 463
EP - 470
VL - 8
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1963_8_4_a6/
LA - ru
ID - TVP_1963_8_4_a6
ER -
%0 Journal Article
%A Ya. G. Sinai
%T On Higher Order Spectral Measures of Ergodic Stationary Processes
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1963
%P 463-470
%V 8
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1963_8_4_a6/
%G ru
%F TVP_1963_8_4_a6
In this paper some necessary conditions for the ergodicity of stationary processes belonging to the Fortet class [4] are given in terms of higher order spectral moments. These conditions lead to some new ergodic theorems for such processes and to the fact that certain spectral measures uniquely determine the corresponding processes.
