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The Exponentiated G Poisson Model

Author

Listed:
  • Antonio E. Gomes
  • Cibele Q. Da-Silva
  • Gauss M. Cordeiro

Abstract

We study a new family of distributions defined by the minimum of the Poisson random number of independent identically distributed random variables having a general exponentiated 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. Maximum likelihood estimation of the model parameters is investigated. Two special models of the new family are discussed. We perform an application to a real data set to show the potentiality of the proposed family.

Suggested Citation

  • Antonio E. Gomes & Cibele Q. Da-Silva & Gauss M. Cordeiro, 2015. "The Exponentiated G Poisson Model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(20), pages 4217-4240, October.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:20:p:4217-4240
    DOI: 10.1080/03610926.2013.793351
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    Cited by:

    1. Sandeep Kumar Maurya & Saralees Nadarajah, 2021. "Poisson Generated Family of Distributions: A Review," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 484-540, November.
    2. Muhammad H Tahir & Gauss M. Cordeiro, 2016. "Compounding of distributions: a survey and new generalized classes," Journal of Statistical Distributions and Applications, Springer, vol. 3(1), pages 1-35, December.

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