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arXiv · 2606.01854

A Uniform Improvement of the Benjamini-Hochberg Procedure via e-Closure

Jelle Goeman
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Abstract

This paper presents closed BH, a uniform improvement of the False Discovery Rate controlling method of Benjamini and Hochberg (BH). Closed BH is valid under the same assumption of Positive Regression Dependency on a Subset (PRDS) as BH, but also under an alternative and weaker minimal sufficient condition. As a uniform improvement, closed BH never rejects fewer hypotheses than BH, but it may reject quite a few more. An increase in power is observed especially when the number of false null hypotheses is large. The novel method is constructed using the e-Closure principle, a recently derived general principle for multiple testing. The method is implemented in the eClosure package in R.

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Jelle Goeman. 2026-06-01. A Uniform Improvement of the Benjamini-Hochberg Procedure via e-Closure. https://arxiv.org/abs/2606.01854

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