Transmuted Exponentiated Kumaraswamy Distribution

Abstract

In this paper, a generalization of the Exponentiated Kumaraswamy distribution referred to as the Transmuted Exponentiated Kumaraswamy distribution is proposed. The new transmuted distribution is developed using the quadratic rank transmutation map. The mathematical properties of the new distribution is provided. Explicit expressions are derived for the moments, incomplete moments, moment generating function, quantile function, entropy, mean deviation and order statistics. Survival analysis is also performed. The distribution parameters are estimated using the method of maximum likelihood. Simulation of random variables is performed in order to investigate the performance of the estimates. An analysis using real life data is conducted to demonstrate the usefulness of the proposed distribution.