Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 3, pp. 557-560
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S. A. Ivankov. On the number of repetitions in Markov chains. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 3, pp. 557-560. http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a17/
@article{TVP_1965_10_3_a17,
author = {S. A. Ivankov},
title = {On the number of repetitions in {Markov} chains},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {557--560},
year = {1965},
volume = {10},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a17/}
}
TY - JOUR
AU - S. A. Ivankov
TI - On the number of repetitions in Markov chains
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1965
SP - 557
EP - 560
VL - 10
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a17/
LA - ru
ID - TVP_1965_10_3_a17
ER -
%0 Journal Article
%A S. A. Ivankov
%T On the number of repetitions in Markov chains
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1965
%P 557-560
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a17/
%G ru
%F TVP_1965_10_3_a17
The main result of the paper is contained in equations (4), (9) and (10) giving a uniform estimate for $|1-\exp(-x)-F_N(x)|$ where $F_N(x)$ is the distribution function of $\nu/M\nu$ and $\nu$ is the period between two successive repetitions of a given collection of the length $N$ of states of a Markov chain.
