Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 399-403
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V. V. Kalašnikov. A uniform estimate of the convergence rate in a discrete time renewal theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 399-403. http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a16/
@article{TVP_1977_22_2_a16,
author = {V. V. Kala\v{s}nikov},
title = {A uniform estimate of the convergence rate in a~discrete time renewal theorem},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {399--403},
year = {1977},
volume = {22},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a16/}
}
TY - JOUR
AU - V. V. Kalašnikov
TI - A uniform estimate of the convergence rate in a discrete time renewal theorem
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1977
SP - 399
EP - 403
VL - 22
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a16/
LA - ru
ID - TVP_1977_22_2_a16
ER -
%0 Journal Article
%A V. V. Kalašnikov
%T A uniform estimate of the convergence rate in a discrete time renewal theorem
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1977
%P 399-403
%V 22
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a16/
%G ru
%F TVP_1977_22_2_a16
The paper deals with a problem of estimating the convergence rate in discrete time renewal theory. The problem is reduced to the estimation of the probability distribution of a first-arrival time for a denumerable time-homogeneous Markov chain. This gives conditions sufficient for the uniform convergence.
