{
  "abstract": "This paper introduces the Transmuted Unit Burr XII (TrUBXII) distribution, a flexible probability model for analyzing bounded data that exhibit skewness and heavy-tailed characteristics. The proposed distribution is derived by incorporating a transmutation parameter into the unit-support Burr XII framework, extending existing bounded distributions and enhancing modeling flexibility for data on the interval (0, 1). Several fundamental statistical properties of the distribution are derived, including its moments, quantile function, and hazard rate function, which provide insight into its structural features. Parameter estimation is conducted using the maximum likelihood approach, and the finite-sample behavior of the estimators is examined through an extensive Monte Carlo simulation study with improved design and performance evaluation metrics. The practical relevance of the TrUBXII distribution is illustrated through an application to a real dataset of residence times under three watering regimes (clean air, high-watered, and low-watered plants), which exhibits the asymmetry and boundary accumulation that motivate the proposed model. Comparative analyses with established bounded distributions, including the Beta and Kumaraswamy models, indicate that the TrUBXII distribution provides a superior fit, particularly for datasets characterized by asymmetry and extreme observations. Therefore, the proposed model offers a robust and versatile framework for bounded data analysis, supported by reproducible implementation in the R programming environment.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia",
    "Department of Statistics, Aliko Dangote University of Science and Technology, Wudil 713281, Kano, Nigeria",
    "Department of Mathematics, Aliko Dangote University of Science and Technology, Wudil 713281, Kano, Nigeria",
    "Department of Statistics, University of Kashmir, Srinagar 190006, India",
    "Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 23890, Saudi Arabia",
    "Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 7,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Fatimah M. Alghamdi",
      "orcid": "0000-0003-3756-5163"
    },
    {
      "affs": [
        1
      ],
      "name": "Abdulhameed Ado Osi",
      "orcid": "0000-0002-4514-7263"
    },
    {
      "affs": [
        2
      ],
      "name": "Muftahu Zubairu Ringim",
      "orcid": "0009-0009-1817-4141"
    },
    {
      "affs": [
        3
      ],
      "name": "Aadil Ahmad Mir",
      "orcid": "0009-0009-3169-1311"
    },
    {
      "affs": [
        4
      ],
      "name": "Souha K. Badr",
      "orcid": "0009-0002-5607-3594"
    },
    {
      "affs": [
        4
      ],
      "name": "Rana Bakoban",
      "orcid": "0000-0002-5397-5122"
    },
    {
      "affs": [
        5
      ],
      "name": "Gamal A. Abd-Elmougod",
      "orcid": "0000-0002-3511-3326"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/60f7pp6v37hmg.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15100784",
  "fulltext_url": null,
  "id": "60f7pp6v37hmg",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/784",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2613|Statistical Distribution Estimation and Applications"
    ]
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  "openalex": "W7222919973",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/60f7pp6v37hmg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100784",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/784"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2613|Statistical Distribution Estimation and Applications",
      "subfield": "statistics"
    }
  ],
  "title": "Simulation and Application of the Transmuted Unit Burr XII Distribution in Real-World Data Analysis",
  "title_text": "Simulation and Application of the Transmuted Unit Burr XII Distribution in Real-World Data Analysis",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/60f7pp6v37hmg",
  "venue": "Axioms",
  "versions": []
}