Odd extended exponential-G family: Properties and application on earthquake data

Abstract

In this paper, we proposed and studied a new family of continuous distributions generated from the extended exponential distribution called as odd extended exponential-G family. Some special models of this family are introduced. Various structural properties of the new family, which hold for any baseline model, are derived including the quantile function, ordinary and incomplete moments, generating function and R’enyi entropy are provided. Then, the maximum likelihood estimates of the model parameters are given. A simulation study is also conducted. Using earthquake real data set of Turkey, the importance and flexibility of the proposed model are illustrated.

Subject Classification:

• 62P12
• 60E05
• 62E99

Keywords:

• Extended exponential distribution
• Odd extended exponential family
• Entropy
• Maximum likelihood estimation