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Teoriya Veroyatnostei i ee Primeneniya, 1970, Volume 15, Issue 3, Pages 529–535 (Mi tvp1862)  
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

Some limit theorems for branchings processes with a final type of particles

V. P. Chistyakov

Moscow
Full-text PDF (367 kB) Citations (5)
Abstract: A continuous-time branching process is considered. Let $\mu_{jk}(t)$ ($j,k=1,2,3$) be the numbers of particles of types $T_k$ generated by particles of type $T_k$ in time interval $[0,t]$. Let $T_1$ be a final type $(\mathbf P\{\mu_{11}(t)=1\}=1)$. We prove some limit theorems for $\mu_{12}(t)$ and $\mu_{13}(t)$ as $t\to\infty$.
Received: 18.12.1968
English version:
Theory of Probability and its Applications, 1970, Volume 15, Issue 3, Pages 515–521
DOI: https://doi.org/10.1137/1115055
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Chistyakov, “Some limit theorems for branchings processes with a final type of particles”, Teor. Veroyatnost. i Primenen., 15:3 (1970), 529–535; Theory Probab. Appl., 15:3 (1970), 515–521
Citation in format AMSBIB
\Bibitem{Chi70}
\by V.~P.~Chistyakov
\paper Some limit theorems for branchings processes with a~final type of particles
\jour Teor. Veroyatnost. i Primenen.
\yr 1970
\vol 15
\issue 3
\pages 529--535
\mathnet{http://mi.mathnet.ru/tvp1862}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=286181}
\zmath{https://zbmath.org/?q=an:0205.44203}
\transl
\jour Theory Probab. Appl.
\yr 1970
\vol 15
\issue 3
\pages 515--521
\crossref{https://doi.org/10.1137/1115055}
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  • https://www.mathnet.ru/eng/tvp/v15/i3/p529
    • 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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