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A New Member from the T − X Family of Distributions: the Gumbel-Burr XII Distribution and Its Properties

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  • Patrick Osatohanmwen

    (University of Benin)

  • Francis O Oyegue

    (University of Benin)

  • Sunday M Ogbonmwan

    (University of Benin)

Abstract

A new member from the T − X family of distribution called the Gumbel-Burr XII (GUBXII) distribution is introduced. This was realized by adopting the logit transformation of the cumulative distribution function of the Burr XII random variable, while taking the Gumbel distribution as the generator. An account of some mathematical properties of the new distribution including the maximum likelihood estimation of its parameters is presented. A real data set is further used to test the applicability of the new distribution.

Suggested Citation

  • Patrick Osatohanmwen & Francis O Oyegue & Sunday M Ogbonmwan, 2019. "A New Member from the T − X Family of Distributions: the Gumbel-Burr XII Distribution and Its Properties," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 81(2), pages 298-322, December.
    • Handle: RePEc:spr:sankha:v:81:y:2019:i:2:d:10.1007_s13171-017-0110-x
    DOI: 10.1007/s13171-017-0110-x
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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:

    1. Patrick Osatohanmwen & Eferhonore Efe-Eyefia & Francis O. Oyegue & Joseph E. Osemwenkhae & Sunday M. Ogbonmwan & Benson A. Afere, 2022. "The Exponentiated Gumbel–Weibull {Logistic} Distribution with Application to Nigeria’s COVID-19 Infections Data," Annals of Data Science, Springer, vol. 9(5), pages 909-943, October.
    2. Harshita Kumawat & Kanak Modi & Pankaj Nagar, 2024. "Modi-Weibull Distribution: Inferential and Simulation Study," Annals of Data Science, Springer, vol. 11(6), pages 1975-1999, December.

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