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

Year 2016, Volume: 45 Issue: 3, 851 - 868, 01.06.2016

Bander Al-zahrani , Pedro Rafael Diniz Marinho A. A . Fattah A-hadi N. Ahmed Gauss M. Cordeiro

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.

(2012) by using the generator by Marshall and Olkin (1997). The new

model is called the (P-A-L) extended Weibull, where (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

References

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