Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 1, pp. 134-140
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I. A. Ibragimov. A note on the central limit theorems for dependent random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 1, pp. 134-140. http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a10/
@article{TVP_1975_20_1_a10,
author = {I. A. Ibragimov},
title = {A~note on the central limit theorems for dependent random variables},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {134--140},
year = {1975},
volume = {20},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a10/}
}
TY - JOUR
AU - I. A. Ibragimov
TI - A note on the central limit theorems for dependent random variables
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1975
SP - 134
EP - 140
VL - 20
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a10/
LA - ru
ID - TVP_1975_20_1_a10
ER -
%0 Journal Article
%A I. A. Ibragimov
%T A note on the central limit theorems for dependent random variables
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1975
%P 134-140
%V 20
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a10/
%G ru
%F TVP_1975_20_1_a10
The paper contains a few limit theorems for stationary sequences $\{\xi_j\}$ under the condition $\rho(n)\to0$, where $\rho(n)$ denotes the maximal correlation coefficient between the past $\{\xi_j,j\le0\}$ and the future $\{\xi_j, j\ge n\}$ of the sequence $\{\xi_j\}$.
