# Elementary proofs of several results on false discovery rate

arXiv: https://arxiv.org/abs/2201.09350 · HTML: https://mlsanity.com/paper/2201.09350/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Jan 2022.

## Built on by (most cited first, 2 of 2)

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- [Urban Deceleration Behavior Modes Under Scene Context: An Early-Kinematic Classifier from Argoverse 2 Multi-Agent Trajectories](https://mlsanity.com/paper/2607.00027/) (2026)

## Abstract (arXiv)

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.