论文标题
贝叶斯同时进行三向假设检验的逻辑连贯性
Logical coherence in Bayesian simultaneous three-way hypothesis tests
论文作者
论文摘要
本文研究了贝叶斯同时进行三向假设检验是否可以在逻辑上是连贯的。获得了两种类型的结果。首先，在标准误差恒定损失下，仅对于有限的模型集，贝叶斯在逻辑上可以同时进行测试。其次，如果使用了更多一般的损失函数，则可以在逻辑上同时获得贝叶斯的同时测试。提供了这种损失函数的明确示例。
This paper studies whether Bayesian simultaneous three-way hypothesis tests can be logically coherent. Two types of results are obtained. First, under the standard error-wise constant loss, only for a limited set of models can a Bayes simultaneous test be logically coherent. Second, if more general loss functions are used, then it is possible to obtain Bayes simultaneous tests that are always logically coherent. An explicit example of such a loss function is provided.
