{
  "abstract": "This paper introduces and thoroughly explores a novel three-parameter lifetime distribution known as the Harris extended inverted Lindley distribution. Born from a blend of the established inverted Lindley and Harris distributions rooted in a branching process, this new model provides enhanced flexibility for analyzing upside down bathtub shaped lifetime data. We derive several key statistical properties explicitly, including the density and hazard rate functions along with their behaviors, ordinary and incomplete moments, measures of skewness and kurtosis, moment-generating functions, and the quantile function. To estimate parameters, we apply various methods such as maximum likelihood estimation, least squares estimation, weighted least squares estimation, and Cramér–von Mises estimation, while also computing associated confidence intervals. Additionally, we quantify the model’s uncertainty using different entropy measures. A simulation study evaluates the performance of these estimators, and finally, we demonstrate the model’s superiority by applying it to two real-world datasets.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Statistics, Govt. Arts and Science College, Calicut, Kerala, India"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
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        0
      ],
      "name": "Jabir Bengalath",
      "orcid": "0000-0002-7839-9686"
    },
    {
      "affs": [
        0
      ],
      "name": "Bindu Punathumparambath",
      "orcid": "0000-0002-6961-3900"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2yqs80fmjxg7y.bib",
  "cited_by": 0,
  "doi": "10.66721/ge50km74",
  "fulltext_url": "https://gnedenko.net/index.php/RTA/article/view/194",
  "id": "2yqs80fmjxg7y",
  "issns": [
    "1932-2321"
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  "landing_url": "https://doi.org/10.66721/ge50km74",
  "language": "en",
  "licence": "CC-BY-NC",
  "licence_label": "CC BY-NC",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-nc/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QA1-939"
    ],
    [
      "lcc",
      "T57-57.97"
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    [
      "openalex",
      "2613|Statistical Distribution Estimation and Applications"
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  "pdf_url": "https://gnedenko.net/index.php/RTA/article/download/194/158",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-01",
  "publisher": "Gnedenko Forum",
  "ris": "https://research.draconitic.com/paper/2yqs80fmjxg7y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:44:14Z",
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      "url": "https://doi.org/10.66721/ge50km74"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2613|Statistical Distribution Estimation and Applications",
      "subfield": "statistics"
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  ],
  "title": "Harris Extended Inverted Lindley Distribution: Properties and Application to Non-Monotonic Hazard Rate Data",
  "title_text": "Harris Extended Inverted Lindley Distribution: Properties and Application to Non-Monotonic Hazard Rate Data",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:44:14Z",
  "url": "https://research.draconitic.com/paper/2yqs80fmjxg7y",
  "venue": "Reliability: Theory & Applications",
  "versions": []
}