Poisson approximations of multinomial distributions and point processes

Paul Deheuvels and Dietmar Pfeifer

Journal of Multivariate Analysis, 1988, vol. 25, issue 1, 65-89

Abstract: We present an extension to the multinomial case of former estimations for univariate Poisson binomial approximation problems and generalize a result obtained by [1], 805-810). As an application, we evaluate the total variation distance between superpositions of independent Bernoulli point processes and a suitable Poisson process. The main tool will be a multiparameter semigroup approach.

Keywords: Poisson; approximations; multinomial; distributions; total; variation; distance; point; processes; semigroups (search for similar items in EconPapers)
Date: 1988
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Citations: View citations in EconPapers (3)

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