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Teoriya Veroyatnostei i ee Primeneniya, 1994, Volume 39, Issue 3, Pages 449–468 (Mi tvp3814)  
This article is cited in 2 scientific papers (total in 2 papers)

Analysis of transient effects for branching processes

K. A. Borovkov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (832 kB) Citations (2)
Abstract: We study the limiting behavior of conditional distributions of nonhomogeneous Markov branching processes as time increases, when the mean numbers of direct offsprings of a particle are close to one uniformly over generations. The three following basic aspects are analyzed: stability of transient effects when the time homogeneity is violated, convergence rate in the integral limit theorem, and asymptotic expansions. We consider the discrete time processes only, but the results obtained can be also extended in a natural way (by embedding) to the continuous time case.
Keywords: branching process, transient effects.
Received: 05.03.1991
English version:
Theory of Probability and its Applications, 1994, Volume 39, Issue 3, Pages 379–395
DOI: https://doi.org/10.1137/1139027
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. A. Borovkov, “Analysis of transient effects for branching processes”, Teor. Veroyatnost. i Primenen., 39:3 (1994), 449–468; Theory Probab. Appl., 39:3 (1994), 379–395
Citation in format AMSBIB
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\by K.~A.~Borovkov
\paper Analysis of transient effects for branching processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1994
\vol 39
\issue 3
\pages 449--468
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1347180}
\zmath{https://zbmath.org/?q=an:0854.60088}
\transl
\jour Theory Probab. Appl.
\yr 1994
\vol 39
\issue 3
\pages 379--395
\crossref{https://doi.org/10.1137/1139027}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TF06800002}
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  • https://www.mathnet.ru/eng/tvp/v39/i3/p449
    • This publication is cited in the following 2 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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