A New Generalization of Exponential-Exponential Distribution Using Kumaraswamy-G Family of Distribution: Theory and Application to Cancer Data

In recent years so many discrete and continuous distributions are derived in the literature using the technique of different family of distributions to generalize or extend. The aim of this article is to propose a new generalization of exponential-exponential distribution by the method of Kumaraswamy G (Kw-G) family of distributions. The new proposed distribution is a three-parameter distribution and is termed as Kumaraswamy Exponential-Exponential (Kw EED) distribution and derived its probability and survival functions to study the behavior of the plot by various values of parameter. We discussed the properties, incomplete moments, Shannon and Renyi entropy and order statistics. The Lorenz and Bonferroni curve functions are derived with the help of quantile function. Maximum likelihood estimation is used for the estimation of the model parameter. The stochastic ordering of the probability distribution is also included in this work. A simulation study is used to find the parameter values. The superiority and adaptability of the suggested model is described by comparing it with other models using some model criterions with the help of cancer data. The findings reveals that the proposed model is better fit than other compared models.