广义伽玛分布参数精确估计的计算方法

J. Achcar, P. Ramos, E. Martinez
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引用次数: 3

摘要

在本文中,我们讨论了计算方面的问题,以获得广义伽马(GG)分布参数的准确推断。通常,GG分布的极大似然估计(MLE)的解在迭代数值算法中由于样本量大、初始值好而没有稳定的行为。从贝叶斯方法来看,这个问题仍然存在,但现在与该模型参数的先验分布的选择有关。我们提出了一些探索性技术,以获得迭代过程中使用的良好初始值,并得出适当的信息先验。最后,我们提出的方法也考虑了存在审查的数据集。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Some Computational Aspects to Find Accurate Estimates for the Parameters of the Generalized Gamma distribution
In this paper, we discuss computational aspects to obtain accurate inferences for the parameters of the generalized gamma (GG) distribution. Usually, the solution of the maximum likelihood estimators (MLE) for the GG distribution have no stable behavior depending on large sample sizes and good initial values to be used in the iterative numerical algorithms. From a Bayesian approach, this problem remains, but now related to the choice of prior distributions for the parameters of this model. We presented some exploratory techniques to obtain good initial values to be used in the iterative procedures and also to elicited appropriate informative priors. Finally, our proposed methodology is also considered for data sets in the presence of censorship.
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