The Concepts of Pseudo Compound Poisson and Partition Representations in Discrete Probability
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...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2015/189596 |
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| _version_ | 1850215231183126528 |
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| author | Werner Hürlimann |
| author_facet | Werner Hürlimann |
| author_sort | Werner Hürlimann |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8495b9facd034a88bd314ad954ad3b6b |
| institution | OA Journals |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-8495b9facd034a88bd314ad954ad3b6b2025-08-20T02:08:40ZengWileyJournal of Probability and Statistics1687-952X1687-95382015-01-01201510.1155/2015/189596189596The Concepts of Pseudo Compound Poisson and Partition Representations in Discrete ProbabilityWerner Hürlimann0Swiss Mathematical Society, University of Fribourg, 1700 Fribourg, SwitzerlandThe 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.http://dx.doi.org/10.1155/2015/189596 |
| spellingShingle | Werner Hürlimann The Concepts of Pseudo Compound Poisson and Partition Representations in Discrete Probability Journal of Probability and Statistics |
| title | The Concepts of Pseudo Compound Poisson and Partition Representations in Discrete Probability |
| title_full | The Concepts of Pseudo Compound Poisson and Partition Representations in Discrete Probability |
| title_fullStr | The Concepts of Pseudo Compound Poisson and Partition Representations in Discrete Probability |
| title_full_unstemmed | The Concepts of Pseudo Compound Poisson and Partition Representations in Discrete Probability |
| title_short | The Concepts of Pseudo Compound Poisson and Partition Representations in Discrete Probability |
| title_sort | concepts of pseudo compound poisson and partition representations in discrete probability |
| url | http://dx.doi.org/10.1155/2015/189596 |
| work_keys_str_mv | AT wernerhurlimann theconceptsofpseudocompoundpoissonandpartitionrepresentationsindiscreteprobability AT wernerhurlimann conceptsofpseudocompoundpoissonandpartitionrepresentationsindiscreteprobability |