Corpus ID: 88524095

Optimal and Maximin Procedures for Multiple Testing Problems

@article{Rosset2018OptimalAM,
  title={Optimal and Maximin Procedures for Multiple Testing Problems},
  author={S. Rosset and R. Heller and Amichai Painsky and E. Aharoni},
  journal={arXiv: Methodology},
  year={2018}
}
Multiple testing problems are a staple of modern statistical analysis. The fundamental objective of multiple testing procedures is to reject as many false null hypotheses as possible (that is, maximize some notion of power), subject to controlling an overall measure of false discovery, like family-wise error rate (FWER) or false discovery rate (FDR). In this paper we formulate multiple testing of simple hypotheses as an infinite-dimensional optimization problem, seeking the most powerful… Expand

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