Elementary proofs of several results on false discovery rate

Ruodu Wang

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arXiv · 2201.09350

Elementary proofs of several results on false discovery rate

Ruodu Wang

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Abstract

We collect self-contained elementary proofs of four results in the literature on the false discovery rate of the Benjamini-Hochberg (BH) procedure for independent or positive-regression dependent p-values, the Benjamini-Yekutieli correction for arbitrarily dependent p-values, and the e-BH procedure for arbitrarily dependent e-values. As a corollary, the above proofs also lead to some inequalities of Simes and Hommel.

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Ruodu Wang. 2022-01-23. Elementary proofs of several results on false discovery rate. https://arxiv.org/abs/2201.09350

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