Type II Kumaraswamy Half Logistic Family of Distributions with Applications to Exponential Model

Abstract

A new family of distributions called type II Kumaraswamy half logistic-G class is introduced and studied. Five new special models of the proposed class are presented. Some mathematical properties of the new family are studied. Explicit expressions for the moments, probability weighted moments, quantile function, mean deviation, order statistics and Renyi entropy are investigated. Parameter estimation of the unknown parameters are obtained based on the maximum likelihood approach. Simulation study is carried out to estimate the model parameters of distribution. One real data set is employed to show the usefulness of the new family.