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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
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
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
Linking options:
https://www.mathnet.ru/eng/tvp3672https://doi.org/10.4213/tvp3672 https://www.mathnet.ru/eng/tvp/v47/i2/p397
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