A Type I Half Logistic Exponentiated-G Family of Distributions: Properties and Application

Abstract

Olalekan Akanji Bello^*, Sani Ibrahim Doguwa, Abubakar Yahaya and Haruna Mohammed Jibril

Several new improved, generalized, and extended families of distributions have been discovered in recent years from families of distributions to aid their application in a variety of fields. The Type I half-logistic exponentiated-G family of distributions which generalizes and extends the Type I half-logistic family of distributions, with two extra positive shape parameters is investigated and proposed. We discuss some of the statistical properties of the proposed family such as explicit expressions for the quantile function, ordinary and incomplete moments, generating function, reliability, and order statistics.  Some of the new family’s sub-models are discussed.  We discuss the estimation of the model parameters by the method of maximum likelihood. Two real data sets are employed to show the applicability and flexibility of the new family.