Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 3, pp. 483-492
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G. N. Sytaya. Limit theorem for some functionals of random walks. Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 3, pp. 483-492. http://geodesic.mathdoc.fr/item/TVP_1967_12_3_a6/
@article{TVP_1967_12_3_a6,
author = {G. N. Sytaya},
title = {Limit theorem for some functionals of random walks},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {483--492},
year = {1967},
volume = {12},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1967_12_3_a6/}
}
TY - JOUR
AU - G. N. Sytaya
TI - Limit theorem for some functionals of random walks
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1967
SP - 483
EP - 492
VL - 12
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1967_12_3_a6/
LA - ru
ID - TVP_1967_12_3_a6
ER -
%0 Journal Article
%A G. N. Sytaya
%T Limit theorem for some functionals of random walks
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1967
%P 483-492
%V 12
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1967_12_3_a6/
%G ru
%F TVP_1967_12_3_a6
Let $\xi_,\xi_2,\dots,\xi_n,\dots$ be a sequence of independent random variables with the same distributions, $S_n=\sum_{j=1}^n\xi_j$ and let $f(x,y)$ be a measurable function. Limit theorems for the distributions of sums $\sum_{j=0}^{n-1}\sum_{k=0}^{n-1}S(S_jS_k)$ are obtained.
