Teoriâ veroâtnostej i ee primeneniâ, Tome 29 (1984) no. 1, pp. 125-132
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V. A. Egorov. On a method of proving of theorems on the law of the iterated logarithm. Teoriâ veroâtnostej i ee primeneniâ, Tome 29 (1984) no. 1, pp. 125-132. http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a13/
@article{TVP_1984_29_1_a13,
author = {V. A. Egorov},
title = {On a method of proving of theorems on the law of the iterated logarithm},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {125--132},
year = {1984},
volume = {29},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a13/}
}
TY - JOUR
AU - V. A. Egorov
TI - On a method of proving of theorems on the law of the iterated logarithm
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1984
SP - 125
EP - 132
VL - 29
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a13/
LA - ru
ID - TVP_1984_29_1_a13
ER -
%0 Journal Article
%A V. A. Egorov
%T On a method of proving of theorems on the law of the iterated logarithm
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1984
%P 125-132
%V 29
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a13/
%G ru
%F TVP_1984_29_1_a13
Let $\{X_n\}$ be a sequence of independent Banach-spacevalued random variables. The connection between the law of the iterated logarithm for $\{X_n\}$ and the law of large numbers for $\{\|X_n\|^2\}$ is investigated.