On A Generalized Class Of Weibull Distribution And Its Applications

On a generalized class of Weibull distribution

Abstract

In this paper, we propose a family of continuous distributions called odds X Weibull(OXW) distributions using the T-X family concept introduced in Alzaatreh et al. (2013). Some of the special models of this family are introduced and one among them, odds exponential-Weibull(OEW) distribution is studied in detail. This distribution is found to be a competitor for the well known lifetime models such as exponential, Weibull, exponentiated exponential, exponentiated Weibull, etc. The method of maximum likelihood is used for estimating the model parameters and a simulation study is carried out to check the performance of the method. Time series models with OEW distribution as marginals are developed. Two real data sets are used to illustrate the applications and flexibility of the OEW distribution.