A new lifetime distribution and its application in reliability

In this study, we generalize the Weibull distribution to a new class referred to as the generalized weighted Weibull (GWW) distribution with one scale parameter and two shape parameters. It is investigated that the new model has increasing, decreasing and upside-down bathtub shaped hazard. Several statistical and reliability properties of this new class of distribution are obtained. Estimation, Simulation and inference procedure for distribution parameters are investigated. Finally, we show that the proposed model can provide better fit than some recent classes of the extended Weibull by using two real data examples.