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Teoriya Veroyatnostei i ee Primeneniya, 2000, Volume 45, Issue 2, Pages 328–344
DOI: https://doi.org/10.4213/tvp466 (Mi tvp466) 		 
This article is cited in 59 scientific papers (total in 59 papers)

Binomial approximation to the Poisson binomial distribution: The Krawtchouk expansion

B. Roos

Institut für Mathematische Stochastik, Universität, Germany
Full-text PDF (689 kB) Citations (59)
DOI: https://doi.org/10.4213/tvp466
Abstract: The Poisson binomial distribution is approximated by a binomial distribution and also by finite signed measures resulting from the corresponding Krawtchouk expansion. Bounds and asymptotic relations for the total variation distance and the point metric are given.
Keywords: binomial approximation, Poisson binomial distribution, Krawtchouk expansion, signed measures, total variation distance, point metric.
English version:
Theory of Probability and its Applications, 2001, Volume 45, Issue 2, Pages 258–272
DOI: https://doi.org/10.1137/S0040585X9797821X
Bibliographic databases:
Language: Russian
Citation: B. Roos, “Binomial approximation to the Poisson binomial distribution: The Krawtchouk expansion”, Teor. Veroyatnost. i Primenen., 45:2 (2000), 328–344; Theory Probab. Appl., 45:2 (2001), 258–272
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 2001
\vol 45
\issue 2
\pages 258--272
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  • https://www.mathnet.ru/eng/tvp/v45/i2/p328
    • This publication is cited in the following 59 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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