An extended Poisson distribution

作者:Bakouch Hassan S*; Kachour Maher; Nadarajah Saralees
来源:Communications in Statistics - Theory and Methods, 2016, 45(22): 6746-6764.
DOI:10.1080/03610926.2014.967587

摘要

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.

  • 出版日期2016