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Teoriya Veroyatnostei i ee Primeneniya, 1975, Volume 20, Issue 1, Pages 181–182 (Mi tvp3008)  

This article is cited in 8 scientific papers (total in 8 papers)

Short Communications

An estimation of probabilites of large deviations for a critical Galton–Watson process

S. V. Nagaev, N. V. Vakhrushev

Novosibirsk
Full-text PDF (130 kB) Citations (8)
Abstract: Let $Z_n$, $n=0,1,\dots,$ be a critical Galton–Watson process with $Z_0=1$. An estimation of $\mathbf P(Z_n>k)$ is obtained for every $k>0$ under the assumption that $\mathbf P(Z_1>k)<e^{-\alpha k}$, $\alpha>0$.
Received: 11.07.1974
English version:
Theory of Probability and its Applications, 1975, Volume 20, Issue 1, Pages 179–180
DOI: https://doi.org/10.1137/1120020
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Nagaev, N. V. Vakhrushev, “An estimation of probabilites of large deviations for a critical Galton–Watson process”, Teor. Veroyatnost. i Primenen., 20:1 (1975), 181–182; Theory Probab. Appl., 20:1 (1975), 179–180
Citation in format AMSBIB
\Bibitem{NagVak75}
\by S.~V.~Nagaev, N.~V.~Vakhrushev
\paper An estimation of probabilites of large deviations for a~critical Galton--Watson process
\jour Teor. Veroyatnost. i Primenen.
\yr 1975
\vol 20
\issue 1
\pages 181--182
\mathnet{http://mi.mathnet.ru/tvp3008}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=370807}
\zmath{https://zbmath.org/?q=an:0356.60043}
\transl
\jour Theory Probab. Appl.
\yr 1975
\vol 20
\issue 1
\pages 179--180
\crossref{https://doi.org/10.1137/1120020}
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  • https://www.mathnet.ru/eng/tvp/v20/i1/p181
  • This publication is cited in the following 8 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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