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Teoriya Veroyatnostei i ee Primeneniya, 1980, Volume 25, Issue 1, Pages 83–91 (Mi tvp987)  

This article is cited in 13 scientific papers (total in 13 papers)

Asymptotic normality of the number of empty cells for group placing of particles

V. G. Mikhaĭlov

Moscow
Abstract: Let $n$ groups of particles ($s$ particles in group) be placed independently in $N$ cells and probabilities of all dispositions are equal. Let $\mu_0$ be the number of empty cells. Convergence of moments of distribution of $(D\mu_0)^{-1/2}(\mu_0-E\mu_0)$ to the moments of standard normal distribution is proved.
Received: 07.02.1978
English version:
Theory of Probability and its Applications, 1980, Volume 25, Issue 1, Pages 82–90
DOI: https://doi.org/10.1137/1125007
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Mikhaǐlov, “Asymptotic normality of the number of empty cells for group placing of particles”, Teor. Veroyatnost. i Primenen., 25:1 (1980), 83–91; Theory Probab. Appl., 25:1 (1980), 82–90
Citation in format AMSBIB
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\by V.~G.~Mikha{\v\i}lov
\paper Asymptotic normality of the number of empty cells for group
placing of particles
\jour Teor. Veroyatnost. i Primenen.
\yr 1980
\vol 25
\issue 1
\pages 83--91
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=560059}
\zmath{https://zbmath.org/?q=an:0455.60015|0423.60010}
\transl
\jour Theory Probab. Appl.
\yr 1980
\vol 25
\issue 1
\pages 82--90
\crossref{https://doi.org/10.1137/1125007}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LG24200007}
Linking options:
  • https://www.mathnet.ru/eng/tvp987
  • https://www.mathnet.ru/eng/tvp/v25/i1/p83
  • This publication is cited in the following 13 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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