A COM-Poisson type generalization of the binomial distribution and its properties and applications

作者：Borges Patrick^*; Rodrigues Josemar; Balakrishnan Narayanaswamy; Bazan Jorge

来源：Statistics & Probability Letters, 2014, 87: 158-166.

DOI：10.1016/j.spl.2014.01.019

• COM-Poisson-binomial distribution
• Dependent Bernoulli variables
• Correlation coefficient
• Exponential family
• Weighted Poisson distributions

Shmueli et al. (2005) introduced the COM-Poisson-binomial distribution, but they did not study the mathematical properties of this family of distributions. In this paper, we discuss some properties and an asymptotic approximation of it by the COM-Poisson distribution. Moreover, three datasets are also considered.

• 出版日期2014-4