Teoriâ veroâtnostej i ee primeneniâ, Tome 3 (1958) no. 4, pp. 413-429
Citer cet article
I. S. Volkov. On the Distribution of Sums of Random Variables Defined on a Homogeneous Markov Chain with a Finite Number of States. Teoriâ veroâtnostej i ee primeneniâ, Tome 3 (1958) no. 4, pp. 413-429. http://geodesic.mathdoc.fr/item/TVP_1958_3_4_a3/
@article{TVP_1958_3_4_a3,
author = {I. S. Volkov},
title = {On the {Distribution} of {Sums} of {Random} {Variables} {Defined} on a {Homogeneous} {Markov} {Chain} with a {Finite} {Number} of {States}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {413--429},
year = {1958},
volume = {3},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1958_3_4_a3/}
}
TY - JOUR
AU - I. S. Volkov
TI - On the Distribution of Sums of Random Variables Defined on a Homogeneous Markov Chain with a Finite Number of States
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1958
SP - 413
EP - 429
VL - 3
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1958_3_4_a3/
LA - ru
ID - TVP_1958_3_4_a3
ER -
%0 Journal Article
%A I. S. Volkov
%T On the Distribution of Sums of Random Variables Defined on a Homogeneous Markov Chain with a Finite Number of States
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1958
%P 413-429
%V 3
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1958_3_4_a3/
%G ru
%F TVP_1958_3_4_a3
Local and integral limit theorems are established for a non-periodical case. The results are given in the form of asymptotic expansions taking into account various possible values of the sums under consideration.
