A Uniform Improvement of the Benjamini-Hochberg Procedure using e-Closure
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918534632701952 |
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| author | Goeman, Jelle |
| author_facet | Goeman, Jelle |
| contents | 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. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_01854 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Uniform Improvement of the Benjamini-Hochberg Procedure using e-Closure Goeman, Jelle Methodology 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. 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. |
| title | A Uniform Improvement of the Benjamini-Hochberg Procedure using e-Closure |
| topic | Methodology |
| url | https://arxiv.org/abs/2606.01854 |