Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 2, pp. 313-320
Citer cet article
A. D. Solov'ev. A combinatorial identity and its application to the problem about the first occurence of a rare event. Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 2, pp. 313-320. http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a5/
@article{TVP_1966_11_2_a5,
author = {A. D. Solov'ev},
title = {A~combinatorial identity and its application to the problem about the first occurence of a~rare event},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {313--320},
year = {1966},
volume = {11},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a5/}
}
TY - JOUR
AU - A. D. Solov'ev
TI - A combinatorial identity and its application to the problem about the first occurence of a rare event
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1966
SP - 313
EP - 320
VL - 11
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a5/
LA - ru
ID - TVP_1966_11_2_a5
ER -
%0 Journal Article
%A A. D. Solov'ev
%T A combinatorial identity and its application to the problem about the first occurence of a rare event
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1966
%P 313-320
%V 11
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a5/
%G ru
%F TVP_1966_11_2_a5
In this paper a stationary chain of $m$-dependent events is investigated. The moment of the first occurence of the event is considered. A representation of the generating function of the moment is derived and the asymptotic behaviour of this moment is investigated when the probability of occurence of the event tends to zero.
