{
  "abstract": "Chatterjee's estimator uses only two local comparisons per interior observation, leaving a finite-replication variance gap under fixed alternatives. We introduce BRACE, short for blockwise rank aggregation for correlation estimation, which replaces adjacent comparisons with local blocks and averages every within-block rank difference. The block size controls the variance cost of finite local replication. An L2 expansion separates the efficient first-order component of the response-rank statistic from an orthogonal finite-replication component. For an admissible diverging block size, the latter vanishes, so the direct rank estimator attains the information bound. The decomposition yields a consistent variance estimator and Wald confidence intervals under fixed alternatives. At independence, the efficient first-order term vanishes, and the proposed estimator enters a second-order regime in which the same factor controls its null variance.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28269",
  "author_total": 4,
  "authors": [
    {
      "name": "Man Hei Ngou"
    },
    {
      "name": "Yanran Li"
    },
    {
      "name": "Zhexiao Lin"
    },
    {
      "name": "Zexi Cai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/75kh0v9ha3by4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28269",
  "fulltext_url": null,
  "id": "75kh0v9ha3by4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28269",
  "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",
      "stat.ME"
    ],
    [
      "openalex",
      "2613|Statistical Methods and Inference"
    ]
  ],
  "openalex": "W7214172361",
  "pdf_url": "https://arxiv.org/pdf/2609.28269",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/75kh0v9ha3by4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:06Z",
      "native_id": "2609.28269",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28269"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:stat.ME",
      "subfield": "statistics"
    }
  ],
  "title": "BRACE: Blockwise Rank Aggregation for Correlation Estimation",
  "title_text": "BRACE: Blockwise Rank Aggregation for Correlation Estimation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:06Z",
  "url": "https://research.draconitic.com/paper/75kh0v9ha3by4",
  "venue": "arXiv",
  "versions": []
}