{
  "abstract": "Fraction-based information measures have received considerable attention for describing complex systems, as they enable the investigation of signals with high sensitivity \\citep{machado2014fractional}. In this paper, we introduce quantile versions of fractional cumulative past inaccuracy (FCPI) and dynamic fractional cumulative past inaccuracy (DFCPI) measures based on the inverse Mittag-Leffler function (MLF) or fractional logarithm function, which are the extensions of the fractional cumulative past and dynamic fractional cumulative past entropies, respectively. The various properties of quantile-based FCPI and its dynamic version are provided. We also propose a nonparametric estimator for the proposed measure, and simulation studies are carried out for validation. Finally, we bring out real data application of the newly introduced quantile-based FCPI.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15204",
  "author_total": 2,
  "authors": [
    {
      "name": "Iona Ann Sebastian"
    },
    {
      "name": "S. M. Sunoj"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3asy3f78pm2j5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15204",
  "fulltext_url": null,
  "id": "3asy3f78pm2j5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15204",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.ST"
    ],
    [
      "arxiv",
      "stat.TH"
    ],
    [
      "openalex",
      "2613|Statistical Distribution Estimation and Applications"
    ]
  ],
  "openalex": "W7213263298",
  "pdf_url": "https://arxiv.org/pdf/2609.15204",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3asy3f78pm2j5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2609.15204",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15204"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.ST",
      "subfield": "statistics"
    }
  ],
  "title": "Fractional Cumulative Past Inaccuracy in the Quantile Framework and its Applications",
  "title_text": "Fractional Cumulative Past Inaccuracy in the Quantile Framework and its Applications",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:36Z",
  "url": "https://research.draconitic.com/paper/3asy3f78pm2j5",
  "venue": "arXiv",
  "versions": []
}