Elementary proofs of four standard results on false discovery rate [article]

Ruodu Wang
2022
We collect self-contained elementary proofs of four standard 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 procedure 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.
doi:10.48550/arxiv.2201.09350 fatcat:zjmkdferaza2jfwsiazczmayyi