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Teoriya Veroyatnostei i ee Primeneniya, 1972, Volume 17, Issue 1, Pages 179–188 (Mi tvp4217)  

This article is cited in 44 scientific papers (total in 44 papers)

Short Communications

Life-Periods of a Branching Process with Immigration

A. M. Zubkov

Moscow
Abstract: The life-period of a branching process with immigration is a time interval for which the number of particles remains positive. We obtain asymptotic formulas for the tails of the distribution functions of life-periods and find necessary and sufficient conditions for the state 0 of the corresponding Markov chain to be recurrent.
Received: 20.04.1971
English version:
Theory of Probability and its Applications, 1972, Volume 17, Issue 1, Pages 174–183
DOI: https://doi.org/10.1137/1117018
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Zubkov, “Life-Periods of a Branching Process with Immigration”, Teor. Veroyatnost. i Primenen., 17:1 (1972), 179–188; Theory Probab. Appl., 17:1 (1972), 174–183
Citation in format AMSBIB
\Bibitem{Zub72}
\by A.~M.~Zubkov
\paper Life-Periods of a Branching Process with Immigration
\jour Teor. Veroyatnost. i Primenen.
\yr 1972
\vol 17
\issue 1
\pages 179--188
\mathnet{http://mi.mathnet.ru/tvp4217}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=300351}
\zmath{https://zbmath.org/?q=an:0267.60084}
\transl
\jour Theory Probab. Appl.
\yr 1972
\vol 17
\issue 1
\pages 174--183
\crossref{https://doi.org/10.1137/1117018}
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  • https://www.mathnet.ru/eng/tvp/v17/i1/p179
  • This publication is cited in the following 44 articles:
    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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