Matematičeskie trudy, Tome 2 (1999) no. 2, pp. 21-56
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S. A. Klokov. Asymptotic Representation for the Distributions of Sums of Weakly Dependent Variables. Matematičeskie trudy, Tome 2 (1999) no. 2, pp. 21-56. http://geodesic.mathdoc.fr/item/MT_1999_2_2_a2/
@article{MT_1999_2_2_a2,
author = {S. A. Klokov},
title = {Asymptotic {Representation} for {the~Distributions} of {Sums} of {Weakly} {Dependent} {Variables}},
journal = {Matemati\v{c}eskie trudy},
pages = {21--56},
year = {1999},
volume = {2},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_1999_2_2_a2/}
}
TY - JOUR
AU - S. A. Klokov
TI - Asymptotic Representation for the Distributions of Sums of Weakly Dependent Variables
JO - Matematičeskie trudy
PY - 1999
SP - 21
EP - 56
VL - 2
IS - 2
UR - http://geodesic.mathdoc.fr/item/MT_1999_2_2_a2/
LA - ru
ID - MT_1999_2_2_a2
ER -
%0 Journal Article
%A S. A. Klokov
%T Asymptotic Representation for the Distributions of Sums of Weakly Dependent Variables
%J Matematičeskie trudy
%D 1999
%P 21-56
%V 2
%N 2
%U http://geodesic.mathdoc.fr/item/MT_1999_2_2_a2/
%G ru
%F MT_1999_2_2_a2
In the present article, we study the asymptotic behavior of the distributions of sums of random variables from stationary sequences satisfying mixing conditions. We obtain a decomposition of the sums into the pairs of asymptotically independent components and deduce some well-known results in this field from the main theorems.
