A New Generalization of the Fréchet Distribution: Properties and Application

Abstract

A new generalization of the Fréchet distribution is introduced and studied. Its structural properties including the quantile function, random number generation, moments, moment generating function and order statistics are investigated. The unknown parameters of the model are estimated using maximum likelihood estimation method and a simulation study is carried out to check the performance of the method. The new model is applied to a real data set to prove empirically its flexibility.

Keywords

• fréchet distribution
• hazard rate function
• maximum likelihood estimation
• moments
• t-x family of distributions