论文标题

社会选择的最佳统计假设检验

Optimal Statistical Hypothesis Testing for Social Choice

论文作者

Xia, Lirong

论文摘要

我们在本文中解决了以下问题:“社会选择的最健壮的统计方法是什么?”通过利用Neyman-Pearson框架中统一的最低良好分布理论来进行有限的模型和随机测试,我们表征了均匀强大的(UMP)测试,这是一个良好的统计量,该模型是均等的,该模型是备用的,是否既适用于W.R.T.T.R.T.R.T.R.T。 Condorcet的模型分别。

We address the following question in this paper: "What are the most robust statistical methods for social choice?'' By leveraging the theory of uniformly least favorable distributions in the Neyman-Pearson framework to finite models and randomized tests, we characterize uniformly most powerful (UMP) tests, which is a well-accepted statistical optimality w.r.t. robustness, for testing whether a given alternative is the winner under Mallows' model and under Condorcet's model, respectively.

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