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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 1, Pages 184–189
DOI: https://doi.org/10.4213/tvp1720 (Mi tvp1720) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

On a Poisson approximation for the distribution of the number of empty cells in a nonhomogeneous allocation scheme

V. G. Mikhailov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (346 kB) Citations (2)
DOI: https://doi.org/10.4213/tvp1720
Abstract: A nonhomogeneous polynomial scheme of allocation of particles into cells is considered in which different allocation laws of particles are allowed. Explicit estimates are given for the accuracy of the Poisson approximation of the distribution of the number of empty cells in an arbitrary subset of cells. The proof of the main theorem uses the combination of the Chen–Stein method with the common probability space method described in the monograph [A. D. Barbour, L. Holst, and S. Janson, Poisson Approximation, Oxford University Press, Oxford, 1992].
Keywords: random allocations, nonhomogeneous scheme, the number of empty cells, Poisson approximation, the Chen–Stein method.
Received: 01.02.1996
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 1, Pages 174–179
DOI: https://doi.org/10.1137/S0040585X97976015
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Mikhailov, “On a Poisson approximation for the distribution of the number of empty cells in a nonhomogeneous allocation scheme”, Teor. Veroyatnost. i Primenen., 42:1 (1997), 184–189; Theory Probab. Appl., 42:1 (1998), 174–179
Citation in format AMSBIB
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\jour Theory Probab. Appl.
\yr 1998
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\issue 1
\pages 174--179
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  • https://www.mathnet.ru/eng/tvp/v42/i1/p184
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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