Geodesic
The limit theorems for branching processes with immigration
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 766-773

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider branching processes (discrete time) with $n$ types of particles and immigration of particles from «external environment». The evolution of the last is described by some finite Markov chain. We prove limit theorems for critical and subcritical cases. 
@article{TVP_1977_22_4_a7,
     author = {A. K. Polin},
     title = {The limit theorems for branching processes with immigration},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {766--773},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a7/}
}
TY  - JOUR
AU  - A. K. Polin
TI  - The limit theorems for branching processes with immigration
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 1977
SP  - 766
EP  - 773
VL  - 22
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a7/
LA  - ru
ID  - TVP_1977_22_4_a7
ER  - 
%0 Journal Article
%A A. K. Polin
%T The limit theorems for branching processes with immigration
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1977
%P 766-773
%V 22
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a7/
%G ru
%F TVP_1977_22_4_a7
A. K. Polin. The limit theorems for branching processes with immigration. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 766-773. http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a7/