A new family of the continuous distributions: the extended Weibull-G family

Abstract

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

Keywords

• Weibull distribution,extended Weibull distribution,generalized family,Weibull-G family,extended Weibull-G family,bi-modality

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