Title: On the Distance between Mixed Poisson and Poisson Distributions.
Abstract: Abstract : Estimations and asymptotic expansions for several distances between mixed Poisson and Poisson distributions are given, such as the total variation distance, the Kolmogrov distance and a specific Wasserstein distance (Fortet-Mourier distance). As an example, the author generalizes and improve results of Vervaat (1969) on the total variation distance between negative binomial and Poisson distributions. The main tool is an appropriate application of operator semigroups and their probabilistic representation theory. Keywords: Poisson approximation; Banach space; Stochastic processes. (Author)
Publication Year: 1985
Publication Date: 1985-09-01
Language: en
Type: article
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Cited By Count: 23
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