Optimal Statistical Hypothesis Testing for Social Choice

Abstract

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.

Cite

Text

Xia. "Optimal Statistical Hypothesis Testing for Social Choice." Uncertainty in Artificial Intelligence, 2020.

Markdown

[Xia. "Optimal Statistical Hypothesis Testing for Social Choice." Uncertainty in Artificial Intelligence, 2020.](https://mlanthology.org/uai/2020/xia2020uai-optimal/)

BibTeX

@inproceedings{xia2020uai-optimal,
  title     = {{Optimal Statistical Hypothesis Testing for Social Choice}},
  author    = {Xia, Lirong},
  booktitle = {Uncertainty in Artificial Intelligence},
  year      = {2020},
  pages     = {570-579},
  volume    = {124},
  url       = {https://mlanthology.org/uai/2020/xia2020uai-optimal/}
}