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Dr. Mohamed Sewalim El-sayed Hamed :: Publications:

Title:
THE WEIBULL GENERALIZED EXPONENTIATED WEIBULL DISTRIBUTION: THEORY AND APPLICATIONS
Authors: Mohamed Sewalim Hamed
Year: 2018
Keywords: Maximum Likelihood Estimation; Simulation; Order Statistics; Ex- ponentiated Weibull; Generating Function; Moments.
Journal: Journal of Statistics and Applications
Volume: 1
Issue: 2
Pages: 1-14
Publisher: Journal of Statistics and Applications
Local/International: International
Paper Link:
Full paper Mohamed Sewalim Elsayed Hamed_THE WEIBULL GENERALIZED EXPONENTIATED WEIBULL.pdf
Supplementary materials Not Available
Abstract:

Abstract. In this work, a new extension of the exponentiated Weibull model is introduced with its mathematical properties and applications to failure times and medical data using the maximum likelihood method. We assess the per- formance of the maximum likelihood estimators in terms of biases and mean squared errors by means of a simulation study. We prove empirically the im- portance and zexibility of the new model in modeling two types of lifetime data. We conclude that, the new model is much better than the Weibull , expone- tiated Weibull, beta Weibull, Kumaraswamy Weibull, Transmuted Weibull, Weibull generalized Weibull and McDonald Weibul models in modeling failure times and breast cancer data.

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