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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
Full-text PDF (121 kB) Citations (2)
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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}
Linking options:
  • https://www.mathnet.ru/eng/jsfu443
  • https://www.mathnet.ru/eng/jsfu/v8/i4/p394
    • This publication is cited in the following 2 articles:
    1. Azam Abdurakhimovich Imomov, Erkin Egamberdievich Tukhtaev, “On asymptotic structure of critical Galton-Watson branching processes allowing immigration with infinite variance”, Stochastic Models, 39:1 (2023), 118  crossref
    2. Azam A. Imomov, Erkin E. Tukhtaev, Applied Modeling Techniques and Data Analysis 2, 2021, 185  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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    References:49
     
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