Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 4, pp. 647-665
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V. I. Rotar'. A nonuniform estimate of the speed of convergence in the multidimensional central limit theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 4, pp. 647-665. http://geodesic.mathdoc.fr/item/TVP_1970_15_4_a4/
@article{TVP_1970_15_4_a4,
author = {V. I. Rotar'},
title = {A~nonuniform estimate of the speed of convergence in the multidimensional central limit theorem},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {647--665},
year = {1970},
volume = {15},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_4_a4/}
}
TY - JOUR
AU - V. I. Rotar'
TI - A nonuniform estimate of the speed of convergence in the multidimensional central limit theorem
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1970
SP - 647
EP - 665
VL - 15
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1970_15_4_a4/
LA - ru
ID - TVP_1970_15_4_a4
ER -
%0 Journal Article
%A V. I. Rotar'
%T A nonuniform estimate of the speed of convergence in the multidimensional central limit theorem
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1970
%P 647-665
%V 15
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1970_15_4_a4/
%G ru
%F TVP_1970_15_4_a4
In the paper, by the method of characteristic functions, an estimate of the convergence rate in the multi-dimensional central limit theorem is obtained. The estimate is non-uniform; it depends on the location with respect to the origin of the set the measures of which are compaired.