A new Generalized Exponential- Weibull Distribution; its properties and application

Abstract

A four-parameter distribution called Generalized Exponential Weibull (GEW) distribution was proposed using a generator introduced. We derived the statistical properties including moment, moment generating function, survival and hazard function, order statistics of the distribution. The distribution parameters were estimated using the method of maximum likelihood and also the asymptotic behavior of the distribution was observed. Applicability of the distribution was also observed using a real data set.

Keywords: Exponential distribution, Exponential Weibull distribution, Reliability analysis, Order statistics and Parameter estimation