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Teoriya Veroyatnostei i ee Primeneniya, 1972, Volume 17, Issue 2, Pages 296–309 (Mi tvp2534)  
This article is cited in 3 scientific papers (total in 3 papers)

A condition of degeneracy of a bounded branching process with continuous time

A. M. Zubkov

Moscow
Full-text PDF (701 kB) Citations (3)
Abstract: We consider a bounded branching process with continuous time, i.e. a supercritical branching process with the condition that at any moment the number of particles is bounded from above (the “superfluous” particles are destroyed and have no offspring). A necessary and sufficient condition is given for the process to die (to get into the state when there is no particle at all) with probability one. We find that the “critical levels” of the upper bound are slightly different for discrete and continuous time.
Received: 30.12.1971
English version:
Theory of Probability and its Applications, 1973, Volume 17, Issue 2, Pages 284–297
DOI: https://doi.org/10.1137/1117032
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Zubkov, “A condition of degeneracy of a bounded branching process with continuous time”, Teor. Veroyatnost. i Primenen., 17:2 (1972), 296–309; Theory Probab. Appl., 17:2 (1973), 284–297
Citation in format AMSBIB
\Bibitem{Zub72}
\by A.~M.~Zubkov
\paper A~condition of degeneracy of a~bounded branching process with continuous time
\jour Teor. Veroyatnost. i Primenen.
\yr 1972
\vol 17
\issue 2
\pages 296--309
\mathnet{http://mi.mathnet.ru/tvp2534}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=300352}
\zmath{https://zbmath.org/?q=an:0279.60081}
\transl
\jour Theory Probab. Appl.
\yr 1973
\vol 17
\issue 2
\pages 284--297
\crossref{https://doi.org/10.1137/1117032}
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  • https://www.mathnet.ru/eng/tvp/v17/i2/p296
    • This publication is cited in the following 3 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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