Abstract
In this article, we introduce the exponentiated Frechet-G family of distributions. Several models of the introduced exponentiated Frechet-G family are presented. The proposed family is precisely more flexible and effective in modeling complex data and is instrumental in reliability analysis. It covers a wide variety of shapes, such as unimodal, reverse J, right-skewed, symmetrical, and asymmetrical shapes. Various structural mathematical properties, such as the quantile, moment, incomplete moment, entropy, and order statistics, are derived. The parameters are evaluated using a parametric estimation method. The performance and flexibility of the exponentiated Frechet-G family are analyzed via a simulation and two applications; one deals with reliability data, and the other deals with medical data.