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Bayesian estimations and predictions using record statistics from the modified Weibull model

机译:使用改进的Weibull模型中的记录统计量进行贝叶斯估计和预测

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This paper develops a Bayesian analysis in the context of record statistics values from the modified Weibull distribution. We obtained Bayes estimators using the general entropy loss functions. This was done with respect to the conjugate prior for the shape parameter. Finally, Bayesian predictive density function, which is necessary to obtain bounds for predictive interval of future record is derived. The results may be of interest in a situation where only record values are stored.
机译:本文在修正的威布尔分布的记录统计值的背景下发展了贝叶斯分析。我们使用一般的熵损失函数获得了贝叶斯估计量。对于形状参数,这是针对共轭先验完成的。最后,导出了贝叶斯预测密度函数,该函数对于获得未来记录的预测区间的界限是必不可少的。在仅存储记录值的情况下,结果可能令人感兴趣。

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