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Elementary proofs of several results on false discovery rate

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arxiv 2201.09350 v3 pith:SF6CWZN6 submitted 2022-01-23 math.ST stat.MEstat.TH

classification math.STstat.MEstat.TH
keywords dependentproofsarbitrarilydiscoveryelementaryfalsep-valuesprocedure
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. False Discovery Control in Multiple Testing: A Brief Overview of Theories and Methodologies

    stat.ME 2024-11 accept novelty 2.0 of 10

    This is a survey of false discovery rate control methods, organized into ranking, FDP estimation, and thresholding steps.

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