Abstract
In this paper we introduce a new six-parameters extension of the Weibull distribution. It will be called the extended generalized inverted Kumaraswamy Weibull (EGIKw-Weibull), that is commonly used to model lifetime data. Various useful properties of the new distribution are derived. A Monte Carlo simulation is employed to investigate the maximum likelihood estimator (MLE) for the parameters. Two real applications are presented.