Journal of Probability and Statistics (Jan 2015)

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

  • Werner Hürlimann

DOI
https://doi.org/10.1155/2015/189596
Journal volume & issue
Vol. 2015

Abstract

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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.