{
  "abstract": "Coherence is a long term notion in the literature of multiple testing. From FWER control multiple testing theory to confidence envelopes on the number of false positives, coherence is a desirable property for multiple testing procedures. However, we show in this article that coherence is not a sufficient property to ensure that a multiple testing procedure is nonimprovable via an interpolation mechanism. We introduce a new no- tion, the notion of strong coherence, which is a stronger property than coherence and ensures that a multiple testing procedure is nonimprovable via the interpolation mech- anisms considered in the literature. Finally, we provide a uniform improvement of the confidence envelope from Durand et al. (2020) that is computable in polynomial time and demonstrate the improvement on simulated data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22601",
  "author_total": 3,
  "authors": [
    {
      "name": "Romain Périer"
    },
    {
      "name": "Gilles Blanchard"
    },
    {
      "name": "Guillermo Durand"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fm2ppgqe3794d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22601",
  "fulltext_url": null,
  "id": "fm2ppgqe3794d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22601",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.ST"
    ],
    [
      "arxiv",
      "stat.ME"
    ],
    [
      "arxiv",
      "stat.TH"
    ],
    [
      "openalex",
      "2613|Statistical Methods in Clinical Trials"
    ]
  ],
  "openalex": "W7222952858",
  "pdf_url": "https://arxiv.org/pdf/2610.22601",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fm2ppgqe3794d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.22601",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22601"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.ST",
      "subfield": "statistics"
    }
  ],
  "title": "On strongly coherent confidence envelopes for the false discoveries",
  "title_text": "On strongly coherent confidence envelopes for the false discoveries",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:38Z",
  "url": "https://research.draconitic.com/paper/fm2ppgqe3794d",
  "venue": "arXiv",
  "versions": []
}