Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 2, pp. 329-338
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K. A. Borovkov. Stability theorems and the estimates of the rate of convergence of the components of factorisation for walks defined on the Markov chains. Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 2, pp. 329-338. http://geodesic.mathdoc.fr/item/TVP_1980_25_2_a7/
@article{TVP_1980_25_2_a7,
author = {K. A. Borovkov},
title = {Stability theorems and the estimates of the rate of convergence of the components of factorisation for walks defined on the {Markov} chains},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {329--338},
year = {1980},
volume = {25},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1980_25_2_a7/}
}
TY - JOUR
AU - K. A. Borovkov
TI - Stability theorems and the estimates of the rate of convergence of the components of factorisation for walks defined on the Markov chains
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1980
SP - 329
EP - 338
VL - 25
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1980_25_2_a7/
LA - ru
ID - TVP_1980_25_2_a7
ER -
%0 Journal Article
%A K. A. Borovkov
%T Stability theorems and the estimates of the rate of convergence of the components of factorisation for walks defined on the Markov chains
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1980
%P 329-338
%V 25
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1980_25_2_a7/
%G ru
%F TVP_1980_25_2_a7
The paper deals with the sums of random variables defined on a homogeneous finite Markov chain. Estimates of the rate of convergence of the components of factorisation are obtained. As a consequence the estimates in stability theorems for some boundary problems are established.