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Lehmann Type II Frechet Poisson Distribution: Properties, Inference and Applications as a Life Time Distribution

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  • Adebisi Ade Ogunde
  • Gbenga Adelekan Olalude
  • Oyebimpe Emmanuel Adeniji
  • Kayode Balogun

Abstract

A new generalization of the Frechet distribution called Lehmann Type II Frechet Poisson distribution is defined and studied. Various structural mathematical properties of the proposed model including ordinary moments, incomplete moments, generating functions, order statistics, Renyi entropy, stochastic ordering, Bonferroni and Lorenz curve, mean and median deviation, stress-strength parameter are investigated. The maximum likelihood method is used to estimate the model parameters. We examine the performance of the maximum likelihood method by means of a numerical simulation study. The new distribution is applied for modeling three real data sets to illustrate empirically its flexibility and tractability in modeling life time data.

Suggested Citation

  • Adebisi Ade Ogunde & Gbenga Adelekan Olalude & Oyebimpe Emmanuel Adeniji & Kayode Balogun, 2021. "Lehmann Type II Frechet Poisson Distribution: Properties, Inference and Applications as a Life Time Distribution," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(3), pages 1-8, June.
    • Handle: RePEc:ibn:ijspjl:v:10:y:2021:i:3:p:8
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    References listed on IDEAS

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    1. Barreto-Souza, Wagner & Cribari-Neto, Francisco, 2009. "A generalization of the exponential-Poisson distribution," Statistics & Probability Letters, Elsevier, vol. 79(24), pages 2493-2500, December.
    2. Ahmed Z. Afify & Haitham M. Yousof & Gauss M. Cordeiro & Edwin M. M. Ortega & Zohdy M. Nofal, 2016. "The Weibull Fréchet distribution and its applications," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(14), pages 2608-2626, October.
    3. Lemonte, Artur J. & Cordeiro, Gauss M., 2011. "The exponentiated generalized inverse Gaussian distribution," Statistics & Probability Letters, Elsevier, vol. 81(4), pages 506-517, April.
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    More about this item

    JEL classification:

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

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