Cover Image

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.
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
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10005199438
Similar items by person