On the Beta-G Poisson Family

Gokarna R. Aryal (), Sher B. Chhetri (), Hongwei Long () and Alfred A. Akinsete ()
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Gokarna R. Aryal: Purdue University Northwest
Sher B. Chhetri: Florida Atlantic University
Hongwei Long: Florida Atlantic University
Alfred A. Akinsete: Marshall University

Annals of Data Science, 2019, vol. 6, issue 3, No 1, 389 pages

Abstract: Abstract In this article, we propose and study a new family of distributions which is defined by using the genesis of the truncated Poisson distribution and the beta distribution. Some mathematical properties of the new family including moments, quantile and generating functions, mean deviations, order statistics and their moments, and reliability analysis are discussed. We also discuss the parameter estimation procedures and potential applications of such generalized family of distributions.

Keywords: Beta-G family; Truncated Poisson distribution; Order statistics; Maximum likelihood estimation (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s40745-018-0176-x

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