Analyzing and solving the identifiability problem in the exponentiated generalized Weibull distribution

Gusmão, Felipe R. S. de, Gomes-Silva, Frank, Brito, Cícero C. R. de, Silveira, Fábio V. J., Jale, Jader S., Xavier-Júnior, Sílvio F. A., Marinho, Pedro R. D.
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Abstract

The well-known Weibull distribution can be used to model the decreasing and unimodal failure rate quite standard in reliability and biological studies. It is also commonly adopted as baseline to generate new distributions from generalized classes. In this paper, we investigate the identifiability of the exponentiated generalized class of distributions and in particular the exponentiated generalized Weibull distribution. We also develop conditions under which the model becomes identifiable. To further illustrate the identifiability issue, we consider a simulation study, and an application is presented to illustrate the potentialities of the model with the new parameterization.
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分析并求解了指数广义威布尔分布中的可辨识性问题
众所周知的威布尔分布可以用来模拟可靠性和生物学研究中相当标准的减少和单峰故障率。它也通常被用作从一般化类生成新分布的基线。本文研究了幂次广义分布类的可辨识性,特别是幂次广义威布尔分布。我们还开发了使模型变得可识别的条件。为了进一步说明可识别性问题,我们考虑了一个模拟研究,并提出了一个应用来说明具有新参数化的模型的潜力。
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发文量
18
审稿时长
9 weeks
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