Exponentiated Half Logistic-Power Generalized Weibull-G Family of Distributions: Model, Properties and Applications

Abstract

A new family of distributions is developed by generalizing the power generalized Weibull distribution. The new distribution is referred to as the Exponentiated Half Logistic-Power Generalized-G (EHL-PGW-G) distribution. The distribution contains many nested sub-families. Also, the new family can be traced to the exponentiated-G distribution. We provide four special cases for the proposed family of distributions We applied the exponentiated half logistic-power generalized-log logistic distribution to one reliability data set and one lifetime data set. The exponentiated half logistic-power generalized-log logistic distribution performs better than a variety of selected equi-parameter competing non-nested models.