An extended Poisson distribution

Hassan S. Bakouch, Maher Kachour and Saralees Nadarajah

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 22, 6746-6764

Abstract: The 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.

Date: 2016
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DOI: 10.1080/03610926.2014.967587

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