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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 1, Pages 117–133
DOI: https://doi.org/10.4213/tvp3954 (Mi tvp3954) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution

B. Roos

The University of Hamburg
Full-text PDF (1350 kB) Citations (10)
DOI: https://doi.org/10.4213/tvp3954
Abstract: The generalized multinomial distribution is approximated by multinomial distributions and also by finite signed measures resulting from the corresponding multivariate Krawtchouk expansion. Bounds for the total variation norm and the $\ell_\infty$-norm are presented. The method used is a multivariate extension of that in [B. Roos, Theory Probab. Appl., 45 (2000), pp. 258–272], although additional complications occur.
Keywords: multinomial approximation, generalized multinomial distribution, multivariate Krawtchouk expansion, signed measures, total variation norm, $\ell_\infty$-norm.
Received: 22.11.1998
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 1, Pages 103–117
DOI: https://doi.org/10.1137/S0040585X97978750
Bibliographic databases:
Language: English
Citation: B. Roos, “Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution”, Teor. Veroyatnost. i Primenen., 46:1 (2001), 117–133; Theory Probab. Appl., 46:1 (2002), 103–117
Citation in format AMSBIB
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\paper Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution
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\transl
\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 1
\pages 103--117
\crossref{https://doi.org/10.1137/S0040585X97978750}
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  • https://www.mathnet.ru/eng/tvp/v46/i1/p117
    • This publication is cited in the following 10 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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