论文标题
矢量高斯假设检验问题的一些结果
Some Results on the Vector Gaussian Hypothesis Testing Problem
论文作者
论文摘要
本文研究了以分布式方式区分两个多元高斯分布的问题。具体而言，它在特殊情况下特征是最佳类型误差指数作为可用通信率的函数。作为侧向分析，本文还提出了对条件独立性问题的假设检验的最佳II型误差指数，在这些假设测试中，这两个假设下的边际分布可能不同。
This paper studies the problem of discriminating two multivariate Gaussian distributions in a distributed manner. Specifically, it characterizes in a special case the optimal typeII error exponent as a function of the available communication rate. As a side-result, the paper also presents the optimal type-II error exponent of a slight generalization of the hypothesis testing against conditional independence problem where the marginal distributions under the two hypotheses can be different.
