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Teoriya Veroyatnostei i ee Primeneniya, 1972, Volume 17, Issue 1, Pages 71–83 (Mi tvp4190)  

This article is cited in 21 scientific papers (total in 21 papers)

A Limit Theorem for Generalized Random Branching Processes Depending on the Size of the Population

V. A. Labkovskii

Moscow
Abstract: A generalized branching processes is considered for which the probabilities of division of particles depend on their number at the time of division. A limit theorem is proved describing the asymptotic behaviour of the first exit time of the population size out of given bounds as both the initial number of particles and the bounds increase.
Received: 12.06.1969
English version:
Theory of Probability and its Applications, 1972, Volume 17, Issue 1, Pages 72–85
DOI: https://doi.org/10.1137/1117006
Bibliographic databases:
Language: Russian
Citation: V. A. Labkovskii, “A Limit Theorem for Generalized Random Branching Processes Depending on the Size of the Population”, Teor. Veroyatnost. i Primenen., 17:1 (1972), 71–83; Theory Probab. Appl., 17:1 (1972), 72–85
Citation in format AMSBIB
\Bibitem{Lab72}
\by V.~A.~Labkovskii
\paper A Limit Theorem for Generalized Random Branching Processes Depending on the Size of the Population
\jour Teor. Veroyatnost. i Primenen.
\yr 1972
\vol 17
\issue 1
\pages 71--83
\mathnet{http://mi.mathnet.ru/tvp4190}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=298785}
\zmath{https://zbmath.org/?q=an:0279.60077}
\transl
\jour Theory Probab. Appl.
\yr 1972
\vol 17
\issue 1
\pages 72--85
\crossref{https://doi.org/10.1137/1117006}
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  • https://www.mathnet.ru/eng/tvp/v17/i1/p71
  • This publication is cited in the following 21 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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