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Poisson approximation of multivariate Poisson mixtures

Journal of Applied Probability, 2003
We 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
openaire   +1 more source

On Compound Poisson Approximation for Sequence Matching

Combinatorics, Probability and Computing, 2000
Consider 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.
openaire   +3 more sources

Poisson Approximation.

Biometrics, 1995
T. Papaioannou   +3 more
openaire   +1 more source

Poisson approximation

1994
Gunnar Blom, Lars Holst, Dennis Sandell
openaire   +1 more source

On the Poisson Equation and Diffusion Approximation. I

Annals of Probability, 2001
E Pardoux
exaly  

Sequence Comparison Significance and Poisson Approximation

Statistical Science, 1994
Michael S Waterman, Martin Vingron
exaly  

Poisson Approximation and the Chen-Stein Method

Statistical Science, 1990
Richard Arratia   +2 more
exaly  

The compound Poisson approximation for a portfolio of dependent risks

Insurance: Mathematics and Economics, 1996
M J Goovaerts, Jan Dhaene
exaly  

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