On Transmuted Flexible Weibull Extension Distribution with Applications to Different Lifetime Data Sets

Abstract

In this article, a three parameters transmuted version of the flexible Weibull extension distribution called transmuted flexible Weibull extension distribution is studied. The proposed model is very flexible and is able to model real phenomena with increasing, unimodal or modified unimodal failure rates. Explicit expressions for mathematical properties are derived. Maximum likelihood estimates and asymptotic confidence bounds for the unknown parameters of the model are also obtained. Four real data sets are analyzed in order to illustrate the flexibility of the proposed distribution.