{
  "abstract": "A multivariate transformation of the unit cube with component transformations that are piecewise continuously differentiable and uniform distribution preserving (udp) is considered. A stochastic inverse transformation is defined using randomization to overcome the non-injective nature of the udp transformations. The inverse transformation preserves the uniform margins of a random vector distributed according to a copula and yields different copulas for different randomizations. A copula density transformation result for the multivariate stochastic inverse is proved and illustrated in the bivariate case.",
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  "article_type": null,
  "arxiv": "2607.07174",
  "author_total": 2,
  "authors": [
    {
      "name": "Alexander J. McNeil"
    },
    {
      "name": "Johanna G. Nešlehová"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2fcc1szcx4qvz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.07174",
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  "landing_url": "https://arxiv.org/abs/2607.07174",
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  "native_subjects": [
    [
      "arxiv",
      "math.ST"
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      "arxiv",
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  "pdf_url": "https://arxiv.org/pdf/2607.07174",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2fcc1szcx4qvz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2607.07174",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.07174"
    }
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.ST",
      "subfield": "statistics"
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  "title": "Stochastic Inversion of Multivariate Uniform-Distribution-Preserving Transformations",
  "title_text": "Stochastic Inversion of Multivariate Uniform-Distribution-Preserving Transformations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:16Z",
  "url": "https://research.draconitic.com/paper/2fcc1szcx4qvz",
  "venue": "arXiv",
  "versions": []
}