{
  "abstract": "This article proposes rational quadratic kriging, a kriging estimator that addresses the limitations of existing approaches: the mean reversion issue of ordinary kriging and the diverging variance issue of rational kriging. Through the rational quadratic kernel, we establish a connection between rational quadratic kriging and kernel regression. The connection allows us to prove desirable theoretical properties of the new estimator and further propose a novel estimation procedure that utilizes factor weights from kernel regression. We also derive expressions to enable efficient leave-one-out estimation and conformal prediction. Extensive simulations across both deterministic functions and noisy datasets show significant improvements in both prediction and uncertainty quantification. A fast implementation is available in the open-source R package RQK.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18077",
  "author_total": 2,
  "authors": [
    {
      "name": "Difan Song"
    },
    {
      "name": "V. Roshan Joseph"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/92rq18rfvhjd3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18077",
  "fulltext_url": null,
  "id": "92rq18rfvhjd3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18077",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "stat.ME"
    ],
    [
      "openalex",
      "2002|Spatial and Panel Data Analysis"
    ]
  ],
  "openalex": "W7221749372",
  "pdf_url": "https://arxiv.org/pdf/2610.18077",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/92rq18rfvhjd3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:26Z",
      "native_id": "2610.18077",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18077"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:stat.ME",
      "subfield": "statistics"
    }
  ],
  "title": "Rational Quadratic Kriging",
  "title_text": "Rational Quadratic Kriging",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:26Z",
  "url": "https://research.draconitic.com/paper/92rq18rfvhjd3",
  "venue": "arXiv",
  "versions": []
}