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Teoriya Veroyatnostei i ee Primeneniya, 1998, Volume 43, Issue 2, Pages 404–413
DOI: https://doi.org/10.4213/tvp1480 (Mi tvp1480) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Short Communications

Metric multivariate Poisson approximation of the generalized multinomial distribution

B. Roos

Institut für Mathematische Stochastik, Universität Hamburg, Germany
Full-text PDF (470 kB) Citations (15)
DOI: https://doi.org/10.4213/tvp1480
Abstract: The aim of this paper is to introduce the multivariate Charlier B expansion to the metric multivariate Poisson approximation of a generalized multinomial distribution considered by Barbour [J. Appl. Probab., 25 (1988), pp. 175–184] and Deheuvels and Pfeifer [J. Multivariate Anal., 25 (1988), pp. 65–89]. Bounds for the total variation and the point metric are given.
Keywords: Poisson approximation, generalized multinomial distribution, multivariate Charlier B expansion, total variation, point metric.
Received: 09.12.1996
English version:
Theory of Probability and its Applications, 1999, Volume 43, Issue 2, Pages 306–316
DOI: https://doi.org/10.1137/S0040585X97976921
Bibliographic databases:
Document Type: Article
Language: English
Citation: B. Roos, “Metric multivariate Poisson approximation of the generalized multinomial distribution”, Teor. Veroyatnost. i Primenen., 43:2 (1998), 404–413; Theory Probab. Appl., 43:2 (1999), 306–316
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 1999
\vol 43
\issue 2
\pages 306--316
\crossref{https://doi.org/10.1137/S0040585X97976921}
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  • https://www.mathnet.ru/eng/tvp/v43/i2/p404
    • This publication is cited in the following 15 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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