{
  "abstract": "Renewal processes model inter-event times between recurrent events using a parametric distribution, but selecting a single model can ignore model uncertainty and affect inference, particularly in small samples. This paper introduces marp, an R package for model-averaged inference in parametric renewal processes. The package fits six commonly used distributions, compares them using Akaike and Bayesian information criteria, and reports selected-model and model-averaged estimates of the mean inter-event time, event probability and hazard function, with percentile and Studentised bootstrap confidence intervals. A simulation study under three data-generating models showed that model averaging did not improve point estimation but often improved interval coverage relative to the AIC-selected model. Applications to seizure-recurrence and engineering failure-time data illustrate the proposed methods. The marp package provides a reproducible framework for inference that accounts for model uncertainty in parametric renewal processes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07519",
  "author_total": 3,
  "authors": [
    {
      "name": "Veronica W. Tsou"
    },
    {
      "name": "Vanessa Huang"
    },
    {
      "name": "Jie Kang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5gtxdp43d2t8c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07519",
  "fulltext_url": null,
  "id": "5gtxdp43d2t8c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07519",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "stat.CO"
    ],
    [
      "arxiv",
      "stat.ME"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07519",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5gtxdp43d2t8c.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:40Z",
      "native_id": "2611.07519",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07519"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:stat.CO",
      "subfield": "statistics"
    }
  ],
  "title": "marp: Model-Averaged Inference for Parametric Renewal Processes in R",
  "title_text": "marp: Model-Averaged Inference for Parametric Renewal Processes in R",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:52Z",
  "url": "https://research.draconitic.com/paper/5gtxdp43d2t8c",
  "venue": "arXiv",
  "versions": []
}