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Teoriya Veroyatnostei i ee Primeneniya, 2002, Volume 47, Issue 2, Pages 397–402
DOI: https://doi.org/10.4213/tvp3672 (Mi tvp3672) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Short Communications

Kerstan's method in the multivariate poisson approximation: an expansion in the exponent

B. Roos

The University of Hamburg
Full-text PDF (608 kB) Citations (11)
DOI: https://doi.org/10.4213/tvp3672
Abstract: The generalized multinomial distribution is approximated by finite signed measures, resulting from a Poisson-type expansion in the exponent. In the univariate case, this expansion was first used by Kornya and Presman. We apply Kerstan's method and present a bound for the total variation distance with explicit constants.
Keywords: expansion in the exponent, generalized multinomial distribution, Kerstan's method, multivariate Poisson approximation, total variation distance.
Received: 18.09.2000
English version:
Theory of Probability and its Applications, 2003, Volume 47, Issue 2, Pages 358–363
DOI: https://doi.org/10.1137/S0040585X97979779
Bibliographic databases:
Document Type: Article
Language: English
Citation: B. Roos, “Kerstan's method in the multivariate poisson approximation: an expansion in the exponent”, Teor. Veroyatnost. i Primenen., 47:2 (2002), 397–402; Theory Probab. Appl., 47:2 (2003), 358–363
Citation in format AMSBIB
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\jour Theory Probab. Appl.
\yr 2003
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\pages 358--363
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  • https://doi.org/10.4213/tvp3672
  • https://www.mathnet.ru/eng/tvp/v47/i2/p397
    • This publication is cited in the following 11 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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