Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 2, pp. 333-353
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A. Yu. Zaǐcev; T. V. Arak. On the rate of convergence in the second Kolmogorov's uniform limit theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 2, pp. 333-353. http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a7/
@article{TVP_1983_28_2_a7,
author = {A. Yu. Zaǐcev and T. V. Arak},
title = {On the rate of convergence in the second {Kolmogorov's} uniform limit theorem},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {333--353},
year = {1983},
volume = {28},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a7/}
}
TY - JOUR
AU - A. Yu. Zaǐcev
AU - T. V. Arak
TI - On the rate of convergence in the second Kolmogorov's uniform limit theorem
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1983
SP - 333
EP - 353
VL - 28
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a7/
LA - ru
ID - TVP_1983_28_2_a7
ER -
%0 Journal Article
%A A. Yu. Zaǐcev
%A T. V. Arak
%T On the rate of convergence in the second Kolmogorov's uniform limit theorem
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1983
%P 333-353
%V 28
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a7/
%G ru
%F TVP_1983_28_2_a7
In this paper we study the accuracy of infinitely divisible approximation for the distributions of sums of independent random variables with arbitrary distributions. This problem was stated by A. N. Kolmogorov. Some unimprovable estimates are obtained.
