Garhy-Generated Family of Distributions with Application

Abstract

This paper introduces a new family of continuous distributions called a Garhy generated family of distributions. Some mathematical properties of this family are discussed. The derived properties are hold to any proper distribution in this family. Some special sub-models in the new family are derived. General explicit expressions for the quantile function, ordinary and incomplete moments, generating function and order statistics are obtained. The estimation of the model parameters is discussed by using maximum likelihood and the potentiality of the extended family is illustrated with one application to real data.

Keywords: Kumaraswamy distribution; Exponetiated distribution; Moments; quantile function, Maximum likelihood estimation.