On the Kumaraswamy Kumaraswamy distribution

Abstract

In this paper, new distribution so called the Kumaraswamy-Kumaraswamy (KW-KW) distribution, as a Special model from the class of Kumaraswamy Generalized (KW-G) distributions, is introduced. the probability density function (pdf), the cumulative distribution function (cdf), moments, quantiles, the median, the mode, the mean deviation, the entropy, order statistics, L-moments and parameters estimation based on maximum likelihood are obtained. A numerical illustration is used to studying the properties of the parameters.