Simultaneous Inference under the Vacuous Orientation Assumption
Simultaneous Inference under the Vacuous Orientation Assumption
复制标题
空取向假设下的同时推理
DOI：
10.1016/j.mbs.2018.01.009
复制
发表时间：
2019
影响因子：
4.3
通讯作者：
Ruobin Gong
中科院分区：
文献类型：
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作者：
Ruobin Gong
我提出了一种新的方法，同时推理，强调需要指定一个相关结构之间的边际错误。空取向假设保留了正常i.i.d.该假设暗示了误差的分布，但放松了误差方向是各向同性的暗示。当大量的高度相关的假设同时进行测试时，该模型通过利用它们之间的逻辑关系来产生校准后的后验推理。这与Bonferroni校正的保守性能形成对比，即使这两种方法都没有对误差依赖性做出假设。该模型采用Dempster-Shafer扩展概率演算，并以随机三值逻辑的形式提供后验推理。
I propose a novel approach to simultaneous inference that alleviates the need to specify a correlational structure among marginal errors. The vacuous orientation assumption retains what the normal i.i.d. assumption implies about the distribution of error configuration, but relaxes the implication that the error orientation is isotropic. When a large number of highly dependent hypotheses are tested simultaneously, the proposed model produces calibrated posterior inference by leveraging the logical relationship among them. This stands in contrast to the conservative performance of the Bonferroni correction, even if neither approaches makes assumptions about error dependence. The proposed model employs the Dempster-Shafer Extended Calculus of Probability, and delivers posterior inference in the form of stochastic three-valued logic.