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.

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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. 
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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/

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