Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 421-423
Citer cet article
V. V. Gorodeckiǐ. On the strong mixing property for linear sequences. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 421-423. http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a21/
@article{TVP_1977_22_2_a21,
author = {V. V. Gorodeckiǐ},
title = {On the strong mixing property for linear sequences},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {421--423},
year = {1977},
volume = {22},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a21/}
}
TY - JOUR
AU - V. V. Gorodeckiǐ
TI - On the strong mixing property for linear sequences
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1977
SP - 421
EP - 423
VL - 22
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a21/
LA - ru
ID - TVP_1977_22_2_a21
ER -
%0 Journal Article
%A V. V. Gorodeckiǐ
%T On the strong mixing property for linear sequences
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1977
%P 421-423
%V 22
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a21/
%G ru
%F TVP_1977_22_2_a21
Let $Z_i$, $i=0,\pm 1,\pm 2,\dots$, be independent random variables and $g_i\in R^1$, $i=0,1,2,\dots$. In the note, sufficient conditions are obtained for the sequence $\displaystyle X_j=\sum_{i=0}^{\infty}g_iZ_{j-i}$ to possess the strong mixing property.
