Beta Generalized Exponentiated Frechet Distribution with Applications

Abstract

In this article we introduce a new six - parameters model called the Beta Generalized Exponentiated-Frechet (BGEF) distribution which exhibits decreasing hazard rate. Many models such as Beta Frechet (BF), Beta ExponentiatedFrechet (BEF), Generalized Exponentiated-Frechet (GEF), ExponentiatedFrechet (EF), Frechet (F) are sub models. Some of its properties including rth moment, reliability and hazard rate are investigated. The method of maximum likelihood isproposed to estimate the model parameters. The observed Fisher’s information matrix is given. Moreover, we give the advantage of the (BGEF) distribution by an application using two real datasets

Keywords

• exponentiatedfrechet distribution
• beta generalized exponentiatedfrechetdistribution
• maximum likelihood estimation
• fisherinformation matrix
• monte carlo simulation
• 05.30.-d
• 02.50.-r