The Exponentiated-Epsilon Distribution: its Properties and Applications

Gongsin Isaac Esbond, Saporu W. O. Funmilayo

Abstract: A new lifetime distribution, called the Exponentiated-epsilon distribution, is generated. It is based on the Exponentiated-G family of distributions. It has a flexible density function that is skewed depicting its ability to model data generating processes with varying complexities. It has bathtub-shaped and J-shaped hazard rate function within its parameter space. It is applied to two differentreal-life datasets and provided good fit. Consequently, it holds a good potential for modeling real-life data generation processes.

Keywords: epsilon distribution, exponentiated-G family of distributions, fatigue life data, fracture toughness data, hazard rate function, order statistics