Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 4, pp. 734-744
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A. A. Borovkov; A. I. Sahanenko. On the estimates of the rate of convergence in the invariance principle for Banach spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 4, pp. 734-744. http://geodesic.mathdoc.fr/item/TVP_1980_25_4_a4/
@article{TVP_1980_25_4_a4,
author = {A. A. Borovkov and A. I. Sahanenko},
title = {On the estimates of the rate of convergence in the invariance principle for {Banach} spaces},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {734--744},
year = {1980},
volume = {25},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1980_25_4_a4/}
}
TY - JOUR
AU - A. A. Borovkov
AU - A. I. Sahanenko
TI - On the estimates of the rate of convergence in the invariance principle for Banach spaces
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1980
SP - 734
EP - 744
VL - 25
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1980_25_4_a4/
LA - ru
ID - TVP_1980_25_4_a4
ER -
%0 Journal Article
%A A. A. Borovkov
%A A. I. Sahanenko
%T On the estimates of the rate of convergence in the invariance principle for Banach spaces
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1980
%P 734-744
%V 25
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1980_25_4_a4/
%G ru
%F TVP_1980_25_4_a4
We propose a method for obtaining the estimates in the invariance principle for Banach spaces; this method doesn't use the representation on a common probability space. In particular, it is shown that the estimate proved by Borovkov [7] for the one- dimensional invariance principle remains valid for the finite-dimensional case too.
