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Teoriya Veroyatnostei i ee Primeneniya, 1977, Volume 22, Issue 4, Pages 867–871 (Mi tvp3637)  

This article is cited in 36 scientific papers (total in 36 papers)

Short Communications

Approximation of a generalized binomial distribution

S. Ya. Šorgin

Moscow
Abstract: The distribution of
\begin{gather*} S_n=X_1+\dots+X_n \\ (\mathbf P\{X_j=1\}=p_j,\quad\mathbf P\{X_j=0\}=1-p_j) \end{gather*}
is investigated. Some results are obtained concerning the rate of its convergence to a Poisson law and to some modifications of the Poisson law.
Received: 14.07.1976
English version:
Theory of Probability and its Applications, 1978, Volume 22, Issue 4, Pages 846–850
DOI: https://doi.org/10.1137/1122099
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Ya. Šorgin, “Approximation of a generalized binomial distribution”, Teor. Veroyatnost. i Primenen., 22:4 (1977), 867–871; Theory Probab. Appl., 22:4 (1978), 846–850
Citation in format AMSBIB
\Bibitem{Sho77}
\by S.~Ya.~{\v S}orgin
\paper Approximation of a~generalized binomial distribution
\jour Teor. Veroyatnost. i Primenen.
\yr 1977
\vol 22
\issue 4
\pages 867--871
\mathnet{http://mi.mathnet.ru/tvp3637}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=458544}
\zmath{https://zbmath.org/?q=an:0392.60021}
\transl
\jour Theory Probab. Appl.
\yr 1978
\vol 22
\issue 4
\pages 846--850
\crossref{https://doi.org/10.1137/1122099}
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  • https://www.mathnet.ru/eng/tvp/v22/i4/p867
  • This publication is cited in the following 36 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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