{
  "abstract": "The Marshall–Olkin bivariate Weibull model with modified singularity assigns positive probability to an unknown ray x=μy. We study inference for its location under exact and finite-resolution observation. With exact observations, repeated common-shock ratios permit support recovery, and conditional profiling reduces the rate-parameter optimization. With grouped observations, a rectangle likelihood retains continuous and singular mass, and a breakpoint-aware search accommodates the piecewise-smooth likelihood. In simulations with 1000 replications per scenario, the ratio of mean RMSE across four recording resolutions, comparing midpoint substitution with interval-aware estimation of μ, was approximately 29 and 39 for common-shock probabilities 0.30 and 0.50. At probability 0.10 and the coarsest resolution, 24.4% of replications met an operational weak-information criterion. A direct comparison also shows lower rate-parameter RMSE for interval-aware estimation at moderate and large singular masses, whereas shape-parameter accuracy is similar and not uniformly better. Hessian-based intervals were unavailable in many replications and their conditional coverage could be below nominal. An exploratory computational illustration with two river-response episodes demonstrates the calculations and sensitivity without supporting substantive hydrological conclusions. The study clarifies how finite recording resolution changes inference on a moving singular support and limits local uncertainty summaries.",
  "abstract_shown": true,
  "affiliations": [
    "Departamento de Matemáticas, Facultad de Educación y Ciencias, Universidad de Sucre, Sincelejo 700001, Colombia",
    "Departamento de Matemática y Estadística, Facultad de Ciencias Básicas, Universidad de Córdoba, Montería 230002, Colombia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Hugo Brango",
      "orcid": "0000-0002-8597-2444"
    },
    {
      "affs": [
        1
      ],
      "name": "Javier Ramirez-Montoya",
      "orcid": "0000-0002-5062-0510"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fcz9wdgaen9zz.bib",
  "cited_by": 0,
  "doi": "10.3390/math14213999",
  "fulltext_url": null,
  "id": "fcz9wdgaen9zz",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/21/3999",
  "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": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/fcz9wdgaen9zz.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T00:23:28Z",
      "native_id": "10.3390/math14213999",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/21/3999"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:2227-7390",
      "subfield": "general"
    }
  ],
  "title": "Likelihood Inference for the Marshall–Olkin Bivariate Weibull Model with Modified Singularity Under Exact and Rounded Data",
  "title_text": "Likelihood Inference for the Marshall–Olkin Bivariate Weibull Model with Modified Singularity Under Exact and Rounded Data",
  "type": "peer-reviewed",
  "updated_at": "2026-11-05T00:20:49Z",
  "url": "https://research.draconitic.com/paper/fcz9wdgaen9zz",
  "venue": "Mathematics",
  "versions": []
}