The Generalized Burr XII Power Series Distributions with Properties and Applications

Abstract

We define and study a new family of distributions, called generalized Burr XII power series class, by compounding the generalized Burr XII and power series distributions. Several properties of the new family are derived. The maximum likelihood estimation method is used to estimate the model parameters. The importance and potentiality of the new family are illustrated by means of three applications to real data sets. © 2022 Elsevier B.V., All rights reserved.