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  • 标题:The Concepts of Pseudo Compound Poisson and Partition Representations in Discrete Probability
  • 本地全文:下载
  • 作者:Werner Hürlimann
  • 期刊名称:Journal of Probability and Statistics
  • 印刷版ISSN:1687-952X
  • 电子版ISSN:1687-9538
  • 出版年度:2015
  • 卷号:2015
  • DOI:10.1155/2015/189596
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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