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Estimation Methods for the Generalized Extreme Weibull Distribution: Theory, Simulation, and Applications to Cancer Survival Data |
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PP: 701-716 |
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doi:10.18576/jsap/140614
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Author(s) |
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Silvana El Rabih,
Noura Yassine,
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Abstract |
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| In this study, motivated by the importance of the Weibull distribution and its widespread use in modeling real-life data, we propose a new distribution called the generalized extreme Weibull distribution (GEW), based on the maximum of multiple Weibull distributions. The statistical properties of the distribution were examined, and expressions for these measures were obtained. Furthermore, the distribution parameters were estimated using different estimation methods. The accuracy of these methods is also highlighted. Monte Carlo simulation is employed to validate the results. To demonstrate the practical relevance and effectiveness of our novel distribution in modeling empirical phenomena, the results are applied to two types of cancer datasets. The findings provide strong evidence of the GEW distributions efficiency as a flexible and powerful tool for modeling on-hand data. |
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