Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 3, pp. 529-535
Citer cet article
V. P. Chistyakov. Some limit theorems for branchings processes with a final type of particles. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 3, pp. 529-535. http://geodesic.mathdoc.fr/item/TVP_1970_15_3_a9/
@article{TVP_1970_15_3_a9,
author = {V. P. Chistyakov},
title = {Some limit theorems for branchings processes with a~final type of particles},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {529--535},
year = {1970},
volume = {15},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_3_a9/}
}
TY - JOUR
AU - V. P. Chistyakov
TI - Some limit theorems for branchings processes with a final type of particles
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1970
SP - 529
EP - 535
VL - 15
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1970_15_3_a9/
LA - ru
ID - TVP_1970_15_3_a9
ER -
%0 Journal Article
%A V. P. Chistyakov
%T Some limit theorems for branchings processes with a final type of particles
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1970
%P 529-535
%V 15
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1970_15_3_a9/
%G ru
%F TVP_1970_15_3_a9
A continuous-time branching process is considered. Let $\mu_{jk}(t)$ ($j,k=1,2,3$) be the numbers of particles of types $T_k$ generated by particles of type $T_k$ in time interval $[0,t]$. Let $T_1$ be a final type $(\mathbf P\{\mu_{11}(t)=1\}=1)$. We prove some limit theorems for $\mu_{12}(t)$ and $\mu_{13}(t)$ as $t\to\infty$.
