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

Patrick Borges, Josemar Rodrigues, Narayanaswamy Balakrishnan and Jorge Bazán

Statistics & Probability Letters, 2014, vol. 87, issue C, 158-166

Abstract: 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.

Keywords: COM–Poisson–binomial distribution; Dependent Bernoulli variables; Correlation coefficient; Exponential family; Weighted Poisson distributions (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (5)

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DOI: 10.1016/j.spl.2014.01.019

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