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Teoriya Veroyatnostei i ee Primeneniya, 1993, Volume 38, Issue 3, Pages 503–528 (Mi tvp3962)  
This article is cited in 5 scientific papers (total in 5 papers)

Limit theorems for the total number of descendants for the Galton–Watson branching process

A. V. Karpenko, S. V. Nagaeva

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (4314 kB) Citations (5)
Abstract: The main results of the present paper deal with the asymptotic behavior of the conditional distribution for the whole number of descendants $S_n $ of a single particle in the Galton–Watson process with respect to the condition that the process degenerates at time n and the expectation for the number of particles generated by one particle tends to 1 as $n \to \infty $.
Keywords: the Galton–Watson branching processes, processes close to critical ones, degeneracy, asymptotic behavior of the total number of descendants.
Received: 14.08.1988
English version:
Theory of Probability and its Applications, 1993, Volume 38, Issue 3, Pages 433–455
DOI: https://doi.org/10.1137/1138041
Bibliographic databases:
Language: Russian
Citation: A. V. Karpenko, S. V. Nagaev, “Limit theorems for the total number of descendants for the Galton–Watson branching process”, Teor. Veroyatnost. i Primenen., 38:3 (1993), 503–528; Theory Probab. Appl., 38:3 (1993), 433–455
Citation in format AMSBIB
\Bibitem{KarNag93}
\by A.~V.~Karpenko, S.~V.~Nagaev
\paper Limit theorems for the total number of descendants for the Galton--Watson branching process
\jour Teor. Veroyatnost. i Primenen.
\yr 1993
\vol 38
\issue 3
\pages 503--528
\mathnet{http://mi.mathnet.ru/tvp3962}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1404661}
\zmath{https://zbmath.org/?q=an:0819.60073}
\transl
\jour Theory Probab. Appl.
\yr 1993
\vol 38
\issue 3
\pages 433--455
\crossref{https://doi.org/10.1137/1138041}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993PJ74300004}
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  • https://www.mathnet.ru/eng/tvp/v38/i3/p503
    • This publication is cited in the following 5 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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