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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. |