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Teoriya Veroyatnostei i ee Primeneniya, 1977, Volume 22, Issue 4, Pages 766–773 (Mi tvp3625)  
This article is cited in 2 scientific papers (total in 2 papers)

The limit theorems for branching processes with immigration

A. K. Polin

Moscow
Full-text PDF (1007 kB) Citations (2)
Abstract: We consider branching processes (discrete time) with n types of particles and immigration of particles from «external environment». The evolution of the last is described by some finite Markov chain. We prove limit theorems for critical and subcritical cases.
Received: 01.07.1976
English version:
Theory of Probability and its Applications, 1978, Volume 22, Issue 4, Pages 746–754
DOI: https://doi.org/10.1137/1122087
Bibliographic databases:
Language: Russian
Citation: A. K. Polin, “The limit theorems for branching processes with immigration”, Teor. Veroyatnost. i Primenen., 22:4 (1977), 766–773; Theory Probab. Appl., 22:4 (1978), 746–754
Citation in format AMSBIB
\Bibitem{Pol77}
\by A.~K.~Polin
\paper The limit theorems for branching processes with immigration
\jour Teor. Veroyatnost. i Primenen.
\yr 1977
\vol 22
\issue 4
\pages 766--773
\mathnet{http://mi.mathnet.ru/tvp3625}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=464419}
\zmath{https://zbmath.org/?q=an:0401.60079}
\transl
\jour Theory Probab. Appl.
\yr 1978
\vol 22
\issue 4
\pages 746--754
\crossref{https://doi.org/10.1137/1122087}
Linking options:
  • https://www.mathnet.ru/eng/tvp3625
  • https://www.mathnet.ru/eng/tvp/v22/i4/p766
    • This publication is cited in the following 2 articles:
    1. Kosto V. Mitov, Nikolay M. Yanev, Ollivier Hyrien, “Multitype branching processes with inhomogeneous Poisson immigration”, Adv. Appl. Probab., 50:A (2018), 211  crossref
    2. Sadao Sugitani, “On the limit distributions of decomposable Galton-Watson processes”, Proc. Japan Acad. Ser. A Math. Sci., 55:9 (1979)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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