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Teoriya Veroyatnostei i ee Primeneniya, 1975, Volume 20, Issue 3, Pages 614–623 (Mi tvp3307)  

This article is cited in 38 scientific papers (total in 38 papers)

Short Communications

Limit distributions of distance to the nearest mutual ancestor

A. M. Zubkov

Moscow
Abstract: Let $\mu(t)$ be the number of particles in a Markov branching process at moment $t$ $(\mu(t)>0, \mu(0)=1)$ and let $t-\tau(t)$ be the moment of division of the last mutual ancestor of all particles existing at moment $t$. We investigate limit distributions of $\tau(t)$ in supercritical, subcritical and critical cases.
Received: 10.12.1974
English version:
Theory of Probability and its Applications, 1976, Volume 20, Issue 3, Pages 602–612
DOI: https://doi.org/10.1137/1120065
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Zubkov, “Limit distributions of distance to the nearest mutual ancestor”, Teor. Veroyatnost. i Primenen., 20:3 (1975), 614–623; Theory Probab. Appl., 20:3 (1976), 602–612
Citation in format AMSBIB
\Bibitem{Zub75}
\by A.~M.~Zubkov
\paper Limit distributions of distance to the nearest mutual ancestor
\jour Teor. Veroyatnost. i Primenen.
\yr 1975
\vol 20
\issue 3
\pages 614--623
\mathnet{http://mi.mathnet.ru/tvp3307}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=397915}
\zmath{https://zbmath.org/?q=an:0348.60118}
\transl
\jour Theory Probab. Appl.
\yr 1976
\vol 20
\issue 3
\pages 602--612
\crossref{https://doi.org/10.1137/1120065}
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  • https://www.mathnet.ru/eng/tvp/v20/i3/p614
  • This publication is cited in the following 38 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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