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Poisson approximation of multivariate Poisson mixtures
Journal of Applied Probability, 2003We show how good multivariate Poisson mixtures can be approximated by multivariate Poisson distributions and related finite signed measures. Upper bounds for the total variation distance with applications to risk theory and generalized negative multinomial distributions are given. Furthermore, it turns out that the ideas used in this paper also lead to
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On Compound Poisson Approximation for Sequence Matching
Combinatorics, Probability and Computing, 2000Consider sequences {Xi}mi=1 and {Yj}nj=1 of independent random variables, taking values in a finite alphabet, and assume that the variables X1, X2, … and Y1, Y2, … follow the distributions μ and v, respectively. Two variables Xi and Yj are said to match if Xi = Yj.
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On Stein's factors for Poisson approximation in Wasserstein distance
Bernoulli, 2006A D Barbour, Aihua Xia
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Sequence Comparison Significance and Poisson Approximation
Statistical Science, 1994Michael S Waterman, Martin Vingron
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Poisson Approximation and the Chen-Stein Method
Statistical Science, 1990Richard Arratia +2 more
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The compound Poisson approximation for a portfolio of dependent risks
Insurance: Mathematics and Economics, 1996M J Goovaerts, Jan Dhaene
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