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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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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.

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Acknowledgements

The authors are very grateful to the anonymous referee(s) and the editor-in-chief for their useful comments which largely helped to improve this paper.

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Authors and Affiliations

  1. Department of Mathematics, University of Benin, Benin, Nigeria

    Patrick Osatohanmwen, Francis O Oyegue & Sunday M Ogbonmwan

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  1. Patrick Osatohanmwen
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  2. Francis O Oyegue
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  3. Sunday M Ogbonmwan
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Correspondence to Patrick Osatohanmwen.

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Osatohanmwen, P., Oyegue, F.O. & Ogbonmwan, S.M. A New Member from the T − X Family of Distributions: the Gumbel-Burr XII Distribution and Its Properties. Sankhya A 81, 298–322 (2019). https://doi.org/10.1007/s13171-017-0110-x

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  • DOI: https://doi.org/10.1007/s13171-017-0110-x

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