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Exponentiated Nadarajah Haghighi Poisson Distribution

Author

Listed:
  • Diouma Sira KA
  • George Otieno Orwa
  • Oscar Ngesa

Abstract

This paper discusses the Exponentiated Nadarajah-Haghighi Poisson distribution focusing on statistical properties such as the Quantile, Moments, Moment Generating Functions, Order statistics and Entropy. To estimate the parameters of the model, the Maximum Likelihood Estimation method is used. To demonstrate the performance of the estimators, a simulation study is carried out. A real data set from Air conditioning system is used to highlight the potential application of the distribution.

Suggested Citation

  • Diouma Sira KA & George Otieno Orwa & Oscar Ngesa, 2019. "Exponentiated Nadarajah Haghighi Poisson Distribution," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(5), pages 34-48, September.
    • Handle: RePEc:ibn:ijspjl:v:8:y:2019:i:5:p:34
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    References listed on IDEAS

    as
    1. Nadarajah, Saralees & Kotz, Samuel, 2006. "The beta exponential distribution," Reliability Engineering and System Safety, Elsevier, vol. 91(6), pages 689-697.
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    More about this item

    Keywords

    Poisson; Exponentiated Nadarajah-Haghighi; stochastic ordering; order statistics;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    Statistics

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