Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 2, pp. 209-227
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V. M. Kruglov. Limit theorems for sums of independent random variables with values in Hilbert space. Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 2, pp. 209-227. http://geodesic.mathdoc.fr/item/TVP_1972_17_2_a0/
@article{TVP_1972_17_2_a0,
author = {V. M. Kruglov},
title = {Limit theorems for sums of independent random variables with values in {Hilbert} space},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {209--227},
year = {1972},
volume = {17},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1972_17_2_a0/}
}
TY - JOUR
AU - V. M. Kruglov
TI - Limit theorems for sums of independent random variables with values in Hilbert space
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1972
SP - 209
EP - 227
VL - 17
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1972_17_2_a0/
LA - ru
ID - TVP_1972_17_2_a0
ER -
%0 Journal Article
%A V. M. Kruglov
%T Limit theorems for sums of independent random variables with values in Hilbert space
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1972
%P 209-227
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1972_17_2_a0/
%G ru
%F TVP_1972_17_2_a0
Necessary and sufficient conditions are found for the distributions of sums (in the series scheme) of independent Hilbert space valued variables to converge to an arbitrary fixed distribution.
