Geodesic
Limit theorem for the joint distribution in the $Q$-processes
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 289-296

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

The $Q$-process is considered in this paper. A link between the $Q$-process and the Galton–Watson branching process allowing immigration is established in the paper. Due to this link the limit theorem on the joint distribution of the population size and the total state of the $Q$-process is proved.
Keywords: Galton–Watson branching process; immigration; total state of the $Q$-process; limit theorem. 
@article{JSFU_2014_7_3_a1,
     author = {Azam A. Imomov},
     title = {Limit theorem for the joint distribution in the $Q$-processes},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {289--296},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a1/}
}
TY  - JOUR
AU  - Azam A. Imomov
TI  - Limit theorem for the joint distribution in the $Q$-processes
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2014
SP  - 289
EP  - 296
VL  - 7
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a1/
LA  - en
ID  - JSFU_2014_7_3_a1
ER  - 
%0 Journal Article
%A Azam A. Imomov
%T Limit theorem for the joint distribution in the $Q$-processes
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2014
%P 289-296
%V 7
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a1/
%G en
%F JSFU_2014_7_3_a1
Azam A. Imomov. Limit theorem for the joint distribution in the $Q$-processes. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 289-296. http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a1/