Poisson approximation of multivariate Poisson mixtures

DOI10.1239/jap/1053003550zbMath1028.60011OpenAlexW2047612970MaRDI QIDQ4435680

Bero Roos

Publication date: 17 November 2003

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1053003550

zbMATH Keywords

total variation distancerisk theorymultivariate Poisson approximationgeneralized compound mixed Poisson distributiongeneralized negative multinomial distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (7)

Multivariate Poisson and Poisson process approximations with applications to Bernoulli sums and -statistics ⋮ Asymptotic analysis of the Askey-scheme. I: From Krawtchouk to Charlier ⋮ A polynomial birth-death point process approximation to the Bernoulli process ⋮ Refined total variation bounds in the multivariate and compound Poisson approximation ⋮ Sharp estimates in signed Poisson approximation of Poisson mixtures ⋮ Compound Poisson approximation to convolutions of compound negative binomial variables ⋮ Testing homogeneity in a multivariate mixture model

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