Mathematical Study of Weibull – New Weighted Exponential Distribution

Abstract

A four Parameter Weibull - New Weighted Exponential distribution was proposed with the use of the Weibull Generalized family of distributions. The Weibull - New Weighted Exponential distribution has the ability to model failure rates which are quite common in medical sciences and reliability/survival Studies. Mathematical properties of the proposed distribution such as Moments, reliability analysis and order Statistics were derived. The Method of Maximum Likelihood Estimation was used in estimating the distribution Parameters.