The (P-A-L) extended Weibull distribution: A new generalization of the Weibull distribution

Authors : Bander ALZAHRANİ, Pedro Rafael Diniz MARİNHO, A A FATTAH, Ahadi N AHMED, Gauss M CORDEİRO

Pages : 851-868

View : 29 | Download : 6

Publication Date : 2016-06-01

Article Type : Research Paper

Abstract :Recently, some attempts have been made to construct new families of models to extend well-known distributions and at the same time provide great flexibility in modeling data in practice. So, several classes by adding shape parameters to generate new models have been explored in the statistical literature. We propose a new generalization of the threeparameter extended Weibull distribution pioneered by Pappas et al. insert ignore into journalissuearticles values(2012); by using the generator by Marshall and Olkin insert ignore into journalissuearticles values(1997);. The new model is called the insert ignore into journalissuearticles values(P-A-L); extended Weibull, where insert ignore into journalissuearticles values(P-A-L); denote the first letters of the scientists Pappas, Adamidis and Loukas.
Keywords : Extended Weibull distribution, Hazard rate function, Maximum likelihood estimation, Moment, Order statistic, Weibull distribution