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On the Exponentiated Generalized Weibull Distribution: A Generalization of theudWeibull Distribution

机译:关于指数广义威布尔分布: ud的推广威布尔分布

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摘要

In this article, a generalization of the Weibull distribution is being studied in some details. The new model is referred to as the Exponentiated Generalized Weibull distribution. The aim is to increase the flexibility of the Weibull distribution. Methods: The concepts introduced in the Exponentiated Generalized family of distributions due to Cordeiro et al.11 were employed. Findings: Some basic mathematical properties of the resulting model were identified and studied in minute details. Meanwhile, estimation of model parameters was performed using the maximum likelihood method. Application/Improvement: The Exponentiated Generalized Weibull distribution was presented as a competitive model that would be useful in modeling real life situations with inverted bathtub failure rates. The R-code for the plots was also provided. Further research would involve applying the proposed model to real life data sets.
机译:在本文中,正在对Weibull分布的一般化进行一些详细的研究。新模型称为指数广义威布尔分布。目的是增加威布尔分布的灵活性。方法:采用了由于Cordeiro等人11在指数广义分布族中引入的概念。结果:识别并详细研究了所得模型的一些基本数学特性。同时,使用最大似然法进行模型参数的估计。应用/改进:指数广义Weibull分布是一种竞争模型,可用于模拟浴缸倒置失败率的真实情况。还提供了绘图的R代码。进一步的研究将涉及将提出的模型应用于现实生活的数据集。

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