Weibull Generalized Exponential Distribution

Abstract

This paper introduces a new three-parameters model called the Weibull Generalized exponential distribution (WGED) which exhibits bathtub-shaped hazard rate. Some of its statistical properties are obtained including quantile, moments, generating function, reliability and order statistics. The method of maximum likelihood is used for estimating the model parameters and the observed Fisher’s information matrix is derived. We illustrate the usefulness of the proposed model by application to real data.