The Marshall-Olkin Generalized-G Family of Distributions with Applications

Abstract

We introduce a new class of distributions called the Marshall-Olkin generalized-G family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, order statistics are discussed. The maximum likelihood method is used for estimating the model parameters. The importance and flexibility of the new family are illustrated by means of two applications to real data sets.

Keywords

• Marshall-Olkin distribution
• Order statistics
• Parameter estimation
• Simulation