Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 1, pp. 179-183
Citer cet article
B. A. Sevast'yanov. The Asymptotic Behaviour of the Probability that a Critical Branching Process is Not Extinct. Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 1, pp. 179-183. http://geodesic.mathdoc.fr/item/TVP_1967_12_1_a20/
@article{TVP_1967_12_1_a20,
author = {B. A. Sevast'yanov},
title = {The {Asymptotic} {Behaviour} of the {Probability} that {a~Critical} {Branching} {Process} is {Not} {Extinct}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {179--183},
year = {1967},
volume = {12},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1967_12_1_a20/}
}
TY - JOUR
AU - B. A. Sevast'yanov
TI - The Asymptotic Behaviour of the Probability that a Critical Branching Process is Not Extinct
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1967
SP - 179
EP - 183
VL - 12
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1967_12_1_a20/
LA - ru
ID - TVP_1967_12_1_a20
ER -
%0 Journal Article
%A B. A. Sevast'yanov
%T The Asymptotic Behaviour of the Probability that a Critical Branching Process is Not Extinct
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1967
%P 179-183
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1967_12_1_a20/
%G ru
%F TVP_1967_12_1_a20
Critical age-dependent branching processes are considered. Let $\mu_t$ be the number of particles at a time $t$. For probability $\mathbf P\{\mu_t>0\}$ we derive the asymptotical formula (3) as $t\to\infty$ which is a generalization of (2).
