Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 1, pp. 184-189
Citer cet article
A. S. Ambrosimov. Asymptotic normality of sums of dependent random variables, considered by B. A. Sevast'yanov. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 1, pp. 184-189. http://geodesic.mathdoc.fr/item/TVP_1976_21_1_a19/
@article{TVP_1976_21_1_a19,
author = {A. S. Ambrosimov},
title = {Asymptotic normality of sums of dependent random variables, considered by {B.} {A.~Sevast'yanov}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {184--189},
year = {1976},
volume = {21},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_1_a19/}
}
TY - JOUR
AU - A. S. Ambrosimov
TI - Asymptotic normality of sums of dependent random variables, considered by B. A. Sevast'yanov
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1976
SP - 184
EP - 189
VL - 21
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1976_21_1_a19/
LA - ru
ID - TVP_1976_21_1_a19
ER -
%0 Journal Article
%A A. S. Ambrosimov
%T Asymptotic normality of sums of dependent random variables, considered by B. A. Sevast'yanov
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1976
%P 184-189
%V 21
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1976_21_1_a19/
%G ru
%F TVP_1976_21_1_a19
Sufficient conditions are found under which the random variable $$ (\xi-\mathbf E\xi)/\sqrt{\mathbf E\xi} $$ is asymptotically normal, where $\displaystyle\xi=\sum_1^n\eta_i$ and $\eta_i$, $i=1,\dots,n$, are weakly dependent 0–1 random variables.
