Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 3, pp. 630-637
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I. F. Pinelis. On the distribution of sums of independent Banach-space-valued random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 3, pp. 630-637. http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a13/
@article{TVP_1978_23_3_a13,
author = {I. F. Pinelis},
title = {On the distribution of sums of independent {Banach-space-valued} random variables},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {630--637},
year = {1978},
volume = {23},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a13/}
}
TY - JOUR
AU - I. F. Pinelis
TI - On the distribution of sums of independent Banach-space-valued random variables
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1978
SP - 630
EP - 637
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a13/
LA - ru
ID - TVP_1978_23_3_a13
ER -
%0 Journal Article
%A I. F. Pinelis
%T On the distribution of sums of independent Banach-space-valued random variables
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1978
%P 630-637
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a13/
%G ru
%F TVP_1978_23_3_a13
Probabilistic inequalities of [2] are generalized for the case of Banach-space-valued random variables with the help of the method due to V. V. Yurinski\u i [12]. As a consequence, sufficient conditions for the strong law of large numbers are given. The results obtained are compared with known ones in this direction.
