{
  "abstract": "Measures of functional dependence that characterize both independence and perfect dependence have attracted growing interest. Despite their appealing theoretical properties, existing rank- and graph-based estimators can suffer from substantial bias under general dependence, limiting their usefulness for statistical inference. Moreover, a systematic and practically accessible framework for mitigating such bias while achieving semiparametric efficiency remains largely unavailable. In this paper, we develop a general framework for efficient estimation of measures of functional dependence through sample-splitting and cross-fitting. Our approach enables systematic bias reduction and semiparametrically efficient inference, and thus offers a flexible and theoretically grounded alternative to existing rank- and graph-based methods.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25421",
  "author_total": 2,
  "authors": [
    {
      "name": "Holger Dette"
    },
    {
      "name": "Fang Han"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f375cyma8my2h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25421",
  "fulltext_url": null,
  "id": "f375cyma8my2h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25421",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "econ.EM"
    ],
    [
      "arxiv",
      "math.ST"
    ],
    [
      "arxiv",
      "stat.ME"
    ],
    [
      "arxiv",
      "stat.TH"
    ],
    [
      "openalex",
      "2613|Statistical Methods and Inference"
    ]
  ],
  "openalex": "W7222998722",
  "pdf_url": "https://arxiv.org/pdf/2610.25421",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f375cyma8my2h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25421",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25421"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.ST",
      "subfield": "statistics"
    }
  ],
  "title": "Efficient estimation of measures of functional dependence",
  "title_text": "Efficient estimation of measures of functional dependence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:54Z",
  "url": "https://research.draconitic.com/paper/f375cyma8my2h",
  "venue": "arXiv",
  "versions": []
}