Elementary proofs of several results on false discovery rate
Statistics Theory
2025-07-15 v3 Methodology
Statistics Theory
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.
Keywords
Cite
@article{arxiv.2201.09350,
title = {Elementary proofs of several results on false discovery rate},
author = {Ruodu Wang},
journal= {arXiv preprint arXiv:2201.09350},
year = {2025}
}