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The Odds Generalized Gamma-G Family Of Distributions: Properties, Regressions And Applications

Author

Listed:
  • M. Arslan Nasir

    (Govt S.E College Bahawalpur)

  • Muhammad H. Tahir Tahir

    (The Islamia University Bahawalpur)

  • Christophe Chesneau

    (University of Caen Normandie)

  • Farrukh Jamal

    (Govt. S.A Postgraduate College Dera Nawab Sahib)

Abstract

In this article, a new odds generalized gamma-G family of distributions, called the GG-G family of distributions, is introduced. We propose a complete mathematical and statistical study of this family, with a special focus on the Fréchet distribution as baseline distribution. In particular, we provide infinite mixture representations of its probability density function and its cumulative distribution function, the expressions for the Rényi entropy, the reliability parameter and the probability density function of ith order statistic. Then, the statistical properties of the family are explored. Model parameters are estimated by the maximum likelihood method. A regression model is also investigated. A simulation study is performed to check the validity of the obtained estimators. Applications on real data sets are also included, with favorable comparisons to existing distributions in terms of goodness-of-fit.

Suggested Citation

  • M. Arslan Nasir & Muhammad H. Tahir Tahir & Christophe Chesneau & Farrukh Jamal, 2020. "The Odds Generalized Gamma-G Family Of Distributions: Properties, Regressions And Applications," Statistica, Department of Statistics, University of Bologna, vol. 80(1), pages 3-38.
    • Handle: RePEc:bot:rivsta:v:80:y:2020:i:1:p:3-38
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    Cited by:

    1. Rana Muhammad Imran Arshad & Muhammad Hussain Tahir & Christophe Chesneau & Farrukh Jamal, 2020. "The Gamma Kumaraswamy-G family of distributions: theory, inference and applications," Statistics in Transition New Series, Polish Statistical Association, vol. 21(5), pages 17-40, December.

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