• THE MODIFIED WEIBULL-G FAMILY OF DISTRIBUTIONS: PROPERTIES AND APPLICATIONS

Abstract

In this paper, we introduce a new family called the modified weibull-G (MW-G) family of distributions generated from modified weibull distribution. This new family of distributions provides a lot of new and well known distributions as special cases. We discuss four special distributions for the new family. Some mathematical properties are derived  including quantile function, moments, and order statistics. The estimation of the distribution parameters is performed by the maximum likelihood method. Applications show that the new family of distributions can provide a better fit than several existing distributions.