Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 3, pp. 449-459
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V. F. Gaposhkin. The law of iterated logarithm for Cesaro's and Abel's methods of summation. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 3, pp. 449-459. http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a3/
@article{TVP_1965_10_3_a3,
author = {V. F. Gaposhkin},
title = {The law of iterated logarithm for {Cesaro's} and {Abel's} methods of summation},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {449--459},
year = {1965},
volume = {10},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a3/}
}
TY - JOUR
AU - V. F. Gaposhkin
TI - The law of iterated logarithm for Cesaro's and Abel's methods of summation
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1965
SP - 449
EP - 459
VL - 10
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a3/
LA - ru
ID - TVP_1965_10_3_a3
ER -
%0 Journal Article
%A V. F. Gaposhkin
%T The law of iterated logarithm for Cesaro's and Abel's methods of summation
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1965
%P 449-459
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a3/
%G ru
%F TVP_1965_10_3_a3
Let $\{x_k\}$ be a set of independent random variables bounded in common with means 0 and variations 1. The analogues of the law of iterated logarithm for the $(C,\alpha)$$(\alpha>0)$ and $A$ methods of summation are proved (see theorems 2 and 3).
