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The Fréchet Topp Leone-G Family of Distributions: Properties, Characterizations and Applications

Author

Listed:
  • Hesham Reyad

    (Qassim University)

  • Mustafa Ç. Korkmaz

    (Artvin Çoruh University)

  • Ahmed Z. Afify

    (Benha University)

  • G. G. Hamedani

    (Marquette University)

  • Soha Othman

    (Cairo University)

Abstract

A new family of continuous distributions which ensure model flexiblity, is introduced based on the Fréchet distribution and Topp Leone-G family. Two special sub-models of the new family are discussed. We provide some distributional properties of this family in the general setting such as the series expansions of density, moments, generating function, stress strength model, Rényi and Shannon entropies, probability weighted moments and order statistics. Certain characterizations of the proposed family are presented. The maximum likelihood estimates and the observed information matrix are obtained for the model parameters. We assess the performance of the maximum likelihood estimators by means of a graphical simulation study. The potentiality of the new class is shown via two applications to real data sets.

Suggested Citation

  • Hesham Reyad & Mustafa Ç. Korkmaz & Ahmed Z. Afify & G. G. Hamedani & Soha Othman, 2021. "The Fréchet Topp Leone-G Family of Distributions: Properties, Characterizations and Applications," Annals of Data Science, Springer, vol. 8(2), pages 345-366, June.
    • Handle: RePEc:spr:aodasc:v:8:y:2021:i:2:d:10.1007_s40745-019-00212-9
    DOI: 10.1007/s40745-019-00212-9
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    References listed on IDEAS

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    1. Ayman Alzaatreh & Carl Lee & Felix Famoye, 2013. "A new method for generating families of continuous distributions," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 63-79, June.
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    Cited by:

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    2. Huda M. Alshanbari & Zubair Ahmad & Hazem Al-Mofleh & Clement Boateng Ampadu & Saima K. Khosa, 2023. "A New Probabilistic Approach: Estimation and Monte Carlo Simulation with Applications to Time-to-Event Data," Mathematics, MDPI, vol. 11(7), pages 1-30, March.

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