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The Exponentiated Generalized-G Poisson Family of Distributions

Author

Listed:
  • Aryal Gokarna R.

    (Department of Mathematics, Statistics and Computer Science,Purdue University Northwest, Hammond, USA)

  • Yousof Haitham M.

    (Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt)

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 exponentiated generalized-G distribution. Some mathematical properties of the new family including ordinary and incomplete moments, quantile and generating functions, mean deviations, order statistics and their moments, reliability and Shannon entropy are derived. Estimation of the parameters using the method of maximum likelihood is discussed. Although this generalization technique can be used to generalize many other distributions, in this study we present only two special models. The importance and flexibility of the new family is exemplified using real world data.

Suggested Citation

  • Aryal Gokarna R. & Yousof Haitham M., 2017. "The Exponentiated Generalized-G Poisson Family of Distributions," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 7-23, June.
    • Handle: RePEc:bpj:ecqcon:v:32:y:2017:i:1:p:7-23:n:1
    DOI: 10.1515/eqc-2017-0004
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    References listed on IDEAS

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    1. Nadarajah, Saralees & Gupta, Arjun K., 2007. "A generalized gamma distribution with application to drought data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(1), pages 1-7.
    2. M. H. Tahir & Gauss M. Cordeiro & Ayman Alzaatreh & M. Mansoor & M. Zubair, 2016. "The logistic-X family of distributions and its applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(24), pages 7326-7349, December.
    3. 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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    Cited by:

    1. Subrata Chakraborty & Laba Handique & Farrukh Jamal, 2022. "The Kumaraswamy Poisson-G Family of Distribution: Its Properties and Applications," Annals of Data Science, Springer, vol. 9(2), pages 229-247, April.

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