Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 2, pp. 251-263
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B. A. Zalesskiǐ; V. V. Sazonov. On the closeness of moments in normal approximation in Hilbert space. Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 2, pp. 251-263. http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a3/
@article{TVP_1983_28_2_a3,
author = {B. A. Zalesskiǐ and V. V. Sazonov},
title = {On the closeness of moments in normal approximation in {Hilbert} space},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {251--263},
year = {1983},
volume = {28},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a3/}
}
TY - JOUR
AU - B. A. Zalesskiǐ
AU - V. V. Sazonov
TI - On the closeness of moments in normal approximation in Hilbert space
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1983
SP - 251
EP - 263
VL - 28
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a3/
LA - ru
ID - TVP_1983_28_2_a3
ER -
%0 Journal Article
%A B. A. Zalesskiǐ
%A V. V. Sazonov
%T On the closeness of moments in normal approximation in Hilbert space
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1983
%P 251-263
%V 28
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a3/
%G ru
%F TVP_1983_28_2_a3
The rate of convergence of absolute moments in the central limit theorem in Hilbert space is estimated. Theorem 1 improves and extends some of our recent results obtained in [1].
