Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 1, pp. 179-188
Citer cet article
A. M. Zubkov. Life-Periods of a Branching Process with Immigration. Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 1, pp. 179-188. http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a17/
@article{TVP_1972_17_1_a17,
author = {A. M. Zubkov},
title = {Life-Periods of a {Branching} {Process} with {Immigration}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {179--188},
year = {1972},
volume = {17},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a17/}
}
TY - JOUR
AU - A. M. Zubkov
TI - Life-Periods of a Branching Process with Immigration
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1972
SP - 179
EP - 188
VL - 17
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a17/
LA - ru
ID - TVP_1972_17_1_a17
ER -
%0 Journal Article
%A A. M. Zubkov
%T Life-Periods of a Branching Process with Immigration
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1972
%P 179-188
%V 17
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a17/
%G ru
%F TVP_1972_17_1_a17
The life-period of a branching process with immigration is a time interval for which the number of particles remains positive. We obtain asymptotic formulas for the tails of the distribution functions of life-periods and find necessary and sufficient conditions for the state 0 of the corresponding Markov chain to be recurrent.
