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Matematicheskie Zametki, 1970, Volume 8, Issue 1, Pages 9–18 (Mi mzm9576)  
This article is cited in 6 scientific papers (total in 6 papers)

A condition for the extinction of a bounded branching process

A. M. Zubkov

M. V. Lomonosov Moscow State University
Full-text PDF (668 kB) Citations (6)
Abstract: A subcritical Galton–Watson process is investigated under the condition that the number of particles is bounded above (“superfluous” particles are annihilated). A necessary and sufficient condition is obtained for the probability of extinction of such a process to be equal to unity.
Received: 17.12.1969
English version:
Mathematical Notes, 1970, Volume 8, Issue 1, Pages 472–477
DOI: https://doi.org/10.1007/BF01093437
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. M. Zubkov, “A condition for the extinction of a bounded branching process”, Mat. Zametki, 8:1 (1970), 9–18; Math. Notes, 8:1 (1970), 472–477
Citation in format AMSBIB
\Bibitem{Zub70}
\by A.~M.~Zubkov
\paper A condition for the extinction of a bounded branching process
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 1
\pages 9--18
\mathnet{http://mi.mathnet.ru/mzm9576}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=267649}
\zmath{https://zbmath.org/?q=an:0232.60071}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 1
\pages 472--477
\crossref{https://doi.org/10.1007/BF01093437}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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