The Concepts of Pseudo Compound Poisson and Partition Representations in Discrete Probability

Werner Hürlimann

Journal of Probability and Statistics, 2015, vol. 2015, 1-6

Abstract:

The mathematical/statistical concepts of pseudo compound Poisson and partition representations in discrete probability are reviewed and clarified. A combinatorial interpretation of the convolution of geometric distributions in terms of a variant of Newton’s identities is obtained. The practical use of the twofold convolution leads to an improved goodness-of-fit for a data set from automobile insurance that was up to now not fitted satisfactorily.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:189596

DOI: 10.1155/2015/189596

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