The Marshall and Olkin-G and Gamma-G family of distributions: properties and applications

Abstract

The article introduces a new family by combining the Marshall and Olkin-G and Gamma-G classes. It has only two extra shape parameters and can be a better model than other existing classes of distributions. Simulations are performed to verify the consistency of the estimators. Its flexibility is shown by means of two real data sets.

Keywords

• applications
• distribution family
• mathematical properties
• simulations