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Teoriya Veroyatnostei i ee Primeneniya, 1966, Volume 11, Issue 2, Pages 313–320 (Mi tvp626)  
This article is cited in 44 scientific papers (total in 44 papers)

Short Communications

A combinatorial identity and its application to the problem about the first occurence of a rare event

A. D. Solov'ev

Moscow
Full-text PDF (419 kB) Citations (44)
Abstract: In this paper a stationary chain of $m$-dependent events is investigated. The moment of the first occurence of the event is considered. A representation of the generating function of the moment is derived and the asymptotic behaviour of this moment is investigated when the probability of occurence of the event tends to zero.
Received: 21.05.1965
English version:
Theory of Probability and its Applications, 1966, Volume 11, Issue 2, Pages 276–282
DOI: https://doi.org/10.1137/1111022
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. D. Solov'ev, “A combinatorial identity and its application to the problem about the first occurence of a rare event”, Teor. Veroyatnost. i Primenen., 11:2 (1966), 313–320; Theory Probab. Appl., 11:2 (1966), 276–282
Citation in format AMSBIB
\Bibitem{Sol66}
\by A.~D.~Solov'ev
\paper A~combinatorial identity and its application to the problem about the first occurence of a~rare event
\jour Teor. Veroyatnost. i Primenen.
\yr 1966
\vol 11
\issue 2
\pages 313--320
\mathnet{http://mi.mathnet.ru/tvp626}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=202217}
\zmath{https://zbmath.org/?q=an:0154.43104}
\transl
\jour Theory Probab. Appl.
\yr 1966
\vol 11
\issue 2
\pages 276--282
\crossref{https://doi.org/10.1137/1111022}
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  • https://www.mathnet.ru/eng/tvp/v11/i2/p313
    • This publication is cited in the following 44 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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