Mixture Weibull Exponential Distribution for Fitting Failure Times Data

Abstract

A new mixture model called Weibull exponential mixture model is introduced in this paper. The new model turns out to be quite flexible for analyzing positive data. The maximum likelihood estimates (MLE's) of the parameters of the new mixture model are obtained based on full samples, Type-I and Type-II censored samples. Certain statistical characteristics associated with this distribution are obtained. A simulation study is employed to check the consistency of maximum likelihood estimates. This new distribution may provide better fitting to describe positive data in various scientific fields such as the physical and biological sciences, medicine, meteorology, and engineering.