An extended Poisson distribution |
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| Authors: | Hassan S Bakouch Maher Kachour Saralees Nadarajah |
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| Institution: | 1. Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypthnbakouch@yahoo.com;3. IDRAC Business School, Finance Department, Lyon Cedex 09, France;4. School of Mathematics, University of Manchester, Manchester, UK |
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| Abstract: | ABSTRACTThe Poisson distribution is extended over the set of all integers. The motivation comes from the many reflected versions of the gamma distribution, the continuous analog of the Poisson distribution, defined over the entire real line. Various mathematical properties of the extended Poisson distribution are derived. Estimation procedures by the methods of moments and maximum likelihood are also derived with their performance assessed by simulation. Finally, a real data application is illustrated. |
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| Keywords: | Estimation Moments Poisson distribution Skellam distribution |
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