Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 2, pp. 370-372
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V. I. Rotar'. On the speed of convergence in the multi-dimensional central limit theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 2, pp. 370-372. http://geodesic.mathdoc.fr/item/TVP_1970_15_2_a19/
@article{TVP_1970_15_2_a19,
author = {V. I. Rotar'},
title = {On the speed of convergence in the multi-dimensional central limit theorem},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {370--372},
year = {1970},
volume = {15},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_2_a19/}
}
TY - JOUR
AU - V. I. Rotar'
TI - On the speed of convergence in the multi-dimensional central limit theorem
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1970
SP - 370
EP - 372
VL - 15
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1970_15_2_a19/
LA - ru
ID - TVP_1970_15_2_a19
ER -
%0 Journal Article
%A V. I. Rotar'
%T On the speed of convergence in the multi-dimensional central limit theorem
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1970
%P 370-372
%V 15
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1970_15_2_a19/
%G ru
%F TVP_1970_15_2_a19
In the paper by the method of characteristic functions, an estimate of the rate of convergence in the multidimensional central limit theorem for a sequence of nonindenticaly distributed random vectors with finite third moments is obtained. The estimate is nonuniform, i.e. the dependence on the type of the set is given.
