A New Family of Exponentiated Weibull-Generated Distributions

Abstract

Exponentiated Weibull distribution is a generalization of the most popular Weibull distribution which provides a more flexible model for analyzing observed data. We suggest an extended version of the Weibull-generated family of distributions which was previously defined in [1]. Properties of the exponentiated Weibull generated family are studied including; quantile function, order statistics, moments and mean deviation. Some special models in the exponentiated WeibullтАУgenerated distributions are provided. Further, the derived properties of the generated family apply to these selected models. Maximum likelihood method is applied to obtain parameter estimates of the exponentiated Weibull-generated family. The resilience and usefulness of the extended family is accomplished through an application to a real data set.