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Transmuted Probability Distributions: A Review

Author(s)
Md. Mahabubur Rahman Department of Statistics, King Abdulaziz University, Saudi Arabia & Department of Statistics, Islamic University, Kushtia, Bangladesh
Bander Al-Zahrani Department of Statistics, King Abdulaziz University,Saudi Arabia
Saman Hanif Shahbaz Department of Statistics, King Abdulaziz University, Saudi Arabia
Muhammad Qaiser Shahbaz Department of Statistics, King Abdulaziz University, Saudi Arabia
Abstract
Transmutation is the functional composition of the cumulative distribution function (cdf ) of one distribution with the inverse cumulative distribution function (quantile function) of another. Shaw and Buckley(2007), first apply this concept and introduced quadratic transmuted family of distributions. In this article, we have presented a review about the transmuted families of distributions. We have also listed the transmuted distributions, available in the literature along with some concluding remarks.
Publication Details
Page(s) 83-94
DOI 10.18187/pjsor.v16i1.3217
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 16, Issue: 1, Year: 2020

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Keywords
Transmuted Distribution, Cubic Transmutation, Quadratic Transmutation, probability distribution, General Transmutation
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