The Gompertz-Topp Leone-G Family of Distributions with Applications

Abstract

We introduce a new family of distributions, referred to as the Gompertz-Topp-Leone-G (Gom-TL-G) distribution. The new family of distributions can be expressed as an infinite linear combination of the Exp-G distributions. It can handle extremely tailed data and has both monotonic and non-monotonic hazard rate functions. A simulation study is used to assess the estimation method. Some real data examples are analyzed for illustrative purposes.