Transmuted Probability Distributions: A Review
Md. Mahabubur Rahman, Bander Al-Zahrani, Saman Hanif Shahbaz, Muhammad Qaiser Shahbaz
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.
Topics & Concepts
MathematicsQuantile functionCumulative distribution functionQuantileInverse distributionApplied mathematicsProbability distributionStatisticsProbability density functionHeavy-tailed distributionStatistical physicsPhysicsStatistical Distribution Estimation and ApplicationsProbability and Risk Models