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Journal of Siberian Federal University. Mathematics & Physics, 2015, Volume 8, Issue 4, Pages 394–405
DOI: https://doi.org/10.17516/1997-1397-2015-8-4-394-405 (Mi jsfu443) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On long-time behaviors of states of Galton–Watson branching processes allowing immigration

Azam A. Imomov

State Testing Center under the Cabinet of MRU, Karshi State University, Kuchabag, 17, Karshi city, 180100, Uzbekistan
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DOI: https://doi.org/10.17516/1997-1397-2015-8-4-394-405
Abstract: 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, immigration, transition functions, invariant measures, ratio limit property, rate of convergence.
Received: 13.06.2015
Received in revised form: 01.08.2015
Accepted: 02.09.2015
Document Type: Article
UDC: 519.218.2
Language: English
Citation: Azam A. Imomov, “On long-time behaviors of states of Galton–Watson branching processes allowing immigration”, J. Sib. Fed. Univ. Math. Phys., 8:4 (2015), 394–405
Citation in format AMSBIB
\Bibitem{Imo15}
\by Azam~A.~Imomov
\paper On long-time behaviors of states of Galton--Watson branching processes allowing immigration
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2015
\vol 8
\issue 4
\pages 394--405
\mathnet{http://mi.mathnet.ru/jsfu443}
\crossref{https://doi.org/10.17516/1997-1397-2015-8-4-394-405}
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    • This publication is cited in the following 2 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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