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On the Beta-G Poisson Family

Author

Listed:
  • Gokarna R. Aryal

    (Purdue University Northwest)

  • Sher B. Chhetri

    (Florida Atlantic University)

  • Hongwei Long

    (Florida Atlantic University)

  • Alfred A. Akinsete

    (Marshall University)

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.

Suggested Citation

  • Gokarna R. Aryal & Sher B. Chhetri & Hongwei Long & Alfred A. Akinsete, 2019. "On the Beta-G Poisson Family," Annals of Data Science, Springer, vol. 6(3), pages 361-389, September.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:3:d:10.1007_s40745-018-0176-x
    DOI: 10.1007/s40745-018-0176-x
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    References listed on IDEAS

    as
    1. Gauss Cordeiro & Saralees Nadarajah & Edwin Ortega, 2012. "The Kumaraswamy Gumbel distribution," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 21(2), pages 139-168, June.
    2. Zohdy M. Nofal & Ahmed Z. Afify & Haitham M. Yousof & Gauss M. Cordeiro, 2017. "The generalized transmuted-G family of distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(8), pages 4119-4136, April.
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