A NEW FAMILY OF THE CONTINUOUS DISTRIBUTIONS: THE EXTENDED WEIBULL-G FAMILY

Abstract

In this study, we present a new family of continuous distributionsvia an extended form of the Weibull distribution. Some special members ofthe newly deÖned family are discussed and the new univariate continuous distributions are introduced. The mathematical properties are obtained for anymembers of the family such as expansions of the density, hazard rate function,quantile function, moments and order statistics. We obtain the distributionparameters by maximum likelihood method. The simulation study to evaluatethe performance of the estimated parameters based on the selected memberof the this new family is also given. The lifetime data example is discussed toillustrate the applicability of the distribution.