Poisson approximations of multinomial distributions and point processes

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.

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Year of publication:	1988
Authors:	Deheuvels, Paul ; Pfeifer, Dietmar
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 25.1988, 1, p. 65-89
Publisher:	Elsevier
Keywords:	Poisson approximations multinomial distributions total variation distance point processes semigroups

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005199438