Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 2, pp. 440-445
Citer cet article
V. V. Senatov. On the estimate of the rate of convergence with respect to the system of balls in the central limit theorem in $R^k$. Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 2, pp. 440-445. http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a21/
@article{TVP_1983_28_2_a21,
author = {V. V. Senatov},
title = {On the estimate of the rate of convergence with respect to the system of balls in the central limit theorem in $R^k$},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {440--445},
year = {1983},
volume = {28},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a21/}
}
TY - JOUR
AU - V. V. Senatov
TI - On the estimate of the rate of convergence with respect to the system of balls in the central limit theorem in $R^k$
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1983
SP - 440
EP - 445
VL - 28
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a21/
LA - ru
ID - TVP_1983_28_2_a21
ER -
%0 Journal Article
%A V. V. Senatov
%T On the estimate of the rate of convergence with respect to the system of balls in the central limit theorem in $R^k$
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1983
%P 440-445
%V 28
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a21/
%G ru
%F TVP_1983_28_2_a21
We obtain an estimate of the order $O(n^{-1/2)}$ for the rate of convergence with respect to the balls in the central limit theorem in $R^k$. The main part of the estimate does not depend on the dimensional parameter $k$. This estimate accounts the closeness of the distributions of summands to the normal distribution.
