Geodesic
On long-time behaviors of states of Galton--Watson branching processes allowing immigration
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 4, pp. 394-405

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We observe the discrete-time Branching Process allowing Immigration. Limit properties of transition functions and their convergence to invariant measures are investigated. In the critical situation a speed of this convergence is defined.
Keywords: branching process, transition functions, invariant measures, ratio limit property, rate of convergence.
Mots-clés : immigration 
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     title = {On long-time behaviors of states of {Galton--Watson} branching processes allowing immigration},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Azam A. Imomov. On long-time behaviors of states of Galton--Watson branching processes allowing immigration. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 4, pp. 394-405. http://geodesic.mathdoc.fr/item/JSFU_2015_8_4_a2/