Dergiler / Gazi University Journal of Science / 2019 / Cilt: 32 - Sayı: 3

On the Exponentiated Weibull Rayleigh Distribution

On the Exponentiated Weibull Rayleigh Distribution

Gholam HAMEDANI, Mohammed ELGARHY, Ibrahim ELBATAL, Amal HASSAN

Sayfa
1060–1081
DOI
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Abstract

A new four-parameter probability model, referred to the exponentiated Weibull Rayleigh (EWR)distribution, is introduced. Essential statistical properties of the distribution are considered. Themaximum likelihood estimators of population parameters are given in case of complete sample.Simulation study is carried out to estimate the model parameters of EWR distribution.Additionally, parameter estimators are given in case of Type II censored samples. We come upwith two applications to confirm the usefulness of the proposed distribution.