{
  "abstract": "The statistical analysis of heavy-tailed data has received considerable attention because extreme observations frequently arise in many practical applications. The Pareto type-I distribution is a fundamental heavy-tailed model used in economics, finance, actuarial science, insurance, reliability, and extreme value analysis. In this paper, we propose novel goodness-of-fit tests for the Pareto distribution using a mean residual life characterization. The test statistic is constructed using U-statistic theory, and its asymptotic behaviour is established under both the null and alternative hypotheses. Its finite-sample performance is evaluated through Monte Carlo simulations using maximum-likelihood and method-of-moments estimation and compared with existing tests. The results show that the proposed test controls the nominal significance level and performs competitively in terms of power across a broad range of alternatives. Finally, the proposed methodology is illustrated using the Danish fire insurance loss and pollution datasets.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04933",
  "author_total": 3,
  "authors": [
    {
      "name": "Shivshankar Nila"
    },
    {
      "name": "Ishapathik Das"
    },
    {
      "name": "N. Balakrishna"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7z8sw3s8k5trx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04933",
  "fulltext_url": null,
  "id": "7z8sw3s8k5trx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04933",
  "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",
      "math.ST"
    ],
    [
      "arxiv",
      "stat.ME"
    ],
    [
      "arxiv",
      "stat.TH"
    ],
    [
      "openalex",
      "2613|Statistical Distribution Estimation and Applications"
    ]
  ],
  "openalex": "W7211879175",
  "pdf_url": "https://arxiv.org/pdf/2609.04933",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7z8sw3s8k5trx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2609.04933",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04933"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.ST",
      "subfield": "statistics"
    }
  ],
  "title": "Goodness-of-fit testing for the Pareto type-I distribution based on a mean residual life characterization",
  "title_text": "Goodness-of-fit testing for the Pareto type-I distribution based on a mean residual life characterization",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:25Z",
  "url": "https://research.draconitic.com/paper/7z8sw3s8k5trx",
  "venue": "arXiv",
  "versions": []
}