Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 280-292
Citer cet article
V. V. Ul'yanov. A non-uniform estimate of the speed of convergence in the central limit theorem in $R$. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 280-292. http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a4/
@article{TVP_1976_21_2_a4,
author = {V. V. Ul'yanov},
title = {A~non-uniform estimate of the speed of convergence in the central limit theorem in $R$},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {280--292},
year = {1976},
volume = {21},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a4/}
}
TY - JOUR
AU - V. V. Ul'yanov
TI - A non-uniform estimate of the speed of convergence in the central limit theorem in $R$
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1976
SP - 280
EP - 292
VL - 21
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a4/
LA - ru
ID - TVP_1976_21_2_a4
ER -
%0 Journal Article
%A V. V. Ul'yanov
%T A non-uniform estimate of the speed of convergence in the central limit theorem in $R$
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1976
%P 280-292
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a4/
%G ru
%F TVP_1976_21_2_a4
Using the composition method, a new uniform estimate and a non-uniform estimate are obtained for the rate of convergence in the central limit theorem in terms of absolute difference moments. The uniform estimate is an improvement and a generalization of Zolotarev's estimate [4] to the case of weakened conditions on moments.
