Odd Generalized Exponential Flexible Weibull Extension Distribution

Abstract

In this article we introduce a new four - parameters model called the odd generalized exponential flexible Weibull extension (OGE-FWE) distribution which exhibits bathtub-shaped hazard rate. Some of it’s statistical properties are obtained including ordinary and incomplete moments, quantile and mode, the moment generating functions, reliability and order statistics. The method of maximum likelihood is used for estimating the model parameters and the observed Fisher’s information matrix is given. Moreover, we give the advantage of the OGE-FWE distribution by an application using real data.

Keywords

• Odd Generalized Exponential Family
• Flexible Weibull Extension distribution
• Generalized Weibull
• Odd Generalized Exponential Flexible Weibull distribution
• Maximum likelihood estimation