Geodesic
Metric multivariate Poisson approximation of the generalized multinomial distribution
Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 2, pp. 404-413 Cet article a éte moissonné depuis la source Math-Net.Ru

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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: generalized multinomial distribution, multivariate Charlier B expansion, point metric.
Mots-clés : Poisson approximation, total variation 
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     author = {B. Roos},
     title = {Metric multivariate {Poisson} approximation of the generalized multinomial distribution},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     volume = {43},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_1998_43_2_a16/}
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B. Roos. Metric multivariate Poisson approximation of the generalized multinomial distribution. Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 2, pp. 404-413. http://geodesic.mathdoc.fr/item/TVP_1998_43_2_a16/