{
  "abstract": "We introduce two new classes of nonparametric change-point tests for sequences of univariate non-negative random variables. The proposed procedures are based on the empirical modified Hankel transform and the Laplace transform, respectively, and provide new transform-based tools for detecting distributional changes. We derive the asymptotic null distributions of the corresponding test statistics and use a permutation bootstrap procedure to obtain $p$-values, since the limiting null distributions are not distribution-free. Through a finite-sample simulation study, we show that the proposed tests are well calibrated, generally more powerful than empirical-characteristic-function-based competitors, and capable of accurately estimating the change-point location, particularly in asymmetric settings. The usefulness of the proposed methodology is further demonstrated through applications to Argentina rainfall data, as well as U.S. GNP and S\\&P 500 absolute log-returns. The real-data examples illustrate that the proposed Hankel- and Laplace-transform-based tests are effective tools for detecting meaningful distributional changes in non-negative data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03614",
  "author_total": 2,
  "authors": [
    {
      "name": "Žikica Lukić"
    },
    {
      "name": "Bojana Milošević"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2kczr9qwcb7mw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03614",
  "fulltext_url": null,
  "id": "2kczr9qwcb7mw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03614",
  "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",
      "stat.ME"
    ],
    [
      "openalex",
      "1804|Advanced Statistical Process Monitoring"
    ]
  ],
  "openalex": "W7208760550",
  "pdf_url": "https://arxiv.org/pdf/2609.03614",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2kczr9qwcb7mw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:42Z",
      "native_id": "2609.03614",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03614"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:stat.ME",
      "subfield": "statistics"
    }
  ],
  "title": "Change-point analysis: a new perspective for unstable financial markets",
  "title_text": "Change-point analysis: a new perspective for unstable financial markets",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:42Z",
  "url": "https://research.draconitic.com/paper/2kczr9qwcb7mw",
  "venue": "arXiv",
  "versions": []
}