Modified-Weibull Distribution with Applications on Real Life Data Sets

Abstract

Among the most commonly used distributions for analysing lifetime data are exponential distributions, Rayleigh distributions, linear failure rate distributions, and Weibull distributions. There are several desirable properties and pleasant physical interpretation properties to these distributions. This paper introduces a new more flexible model for lifetime data and named as Generalized Reverse Exponential Transformed Weibull (GRETW) Distribution. We have discussed the properties of the GRETW. The order statistics of the proposed distribution have also been studied. Moreover, maximum likelihood estimator of unknown parameters has been obtained. Different data sets are analysed and observe that in comparison to other distributions, this distribution can provide a better fit.