Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 4, pp. 660-671
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A. V. Skorokhod; N. P. Slobodenyuk. Limit theorems for random walks. I. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 4, pp. 660-671. http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a3/
@article{TVP_1965_10_4_a3,
author = {A. V. Skorokhod and N. P. Slobodenyuk},
title = {Limit theorems for random {walks.~I}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {660--671},
year = {1965},
volume = {10},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a3/}
}
TY - JOUR
AU - A. V. Skorokhod
AU - N. P. Slobodenyuk
TI - Limit theorems for random walks. I
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1965
SP - 660
EP - 671
VL - 10
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a3/
LA - ru
ID - TVP_1965_10_4_a3
ER -
%0 Journal Article
%A A. V. Skorokhod
%A N. P. Slobodenyuk
%T Limit theorems for random walks. I
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1965
%P 660-671
%V 10
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a3/
%G ru
%F TVP_1965_10_4_a3
Let $\xi_1,\xi_2,\dots,\xi_n,\dots$ be a sequence of independent random variables with the same distribution, $S_n=\sum_{k=1}^n\xi_k$ and let $f(x)$ be a measurable function. Limit theorems for sums $\sum_{k=1}^nf(S_k)$ are obtained
