On the Beta-G Poisson Family

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 stati...

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Bibliographic Details
Published inAnnals of data science Vol. 6; no. 3; pp. 361 - 389
Main Authors Aryal, Gokarna R., Chhetri, Sher B., Long, Hongwei, Akinsete, Alfred A.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2019
Springer Nature B.V
Subjects
Artificial Intelligence
Beta
Business and Management
Economics
Finance
Insurance
Management
Mathematical analysis
Parameter estimation
Poisson distribution
Probability distribution functions
Reliability analysis
Statistics for Business
Maximum likelihood estimation
Truncated Poisson distribution
Order statistics
Beta-G family
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Summary: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.
ISSN:2198-5804
2198-5812
DOI:10.1007/s40745-018-0176-x