{
  "abstract": "The intrinsic event-rate of Type I gamma-ray bursts (GRBs) as a function of redshift, provides a probe for binary neutron star (BNS) mergers population. However, the above-mentioned inference is complicated by instrumental selection effects, the lack of redshift measurements for the majority of GRBs, and uncertainties in jet geometry. In this work, we applied a hierarchical Bayesian inference framework to the {\\it Fermi}/GBM Type I GRB catalogue to reconstruct the underlying event-rate population. This framework accounts for the selection effects and marginalizes over the limited-information posteriors of individual GRB redshifts and jet structures. The population model uses parameterized luminosity function, distribution of jet structure parameters, the Madau-Dickinson star-formation rate and a delay-time distribution of BNS mergers. The posterior distribution of the hyperparameters in the model are to be inferred, using a GPU-accelerated MCMC algorithm. The intrinsic event rate density as function of redshift is constrained up to $z=5$, which a local rate density of \\(R_0 = 22.6^{+15.0}_{-10.6}\\,{\\rm Gpc^{-3}\\,yr^{-1}},\\), which is consistent with the latest gravitational-wave measurements.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.35994",
  "author_total": 5,
  "authors": [
    {
      "name": "Cao Tian-Yong"
    },
    {
      "name": "Yi Shu-Xu"
    },
    {
      "name": "Du Yun-Fei"
    },
    {
      "name": "Yorgancioglu S. Emre"
    },
    {
      "name": "Xiong Shao-Lin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cvrkgygdmzpqn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.35994",
  "fulltext_url": null,
  "id": "cvrkgygdmzpqn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.35994",
  "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",
      "astro-ph.HE"
    ],
    [
      "openalex",
      "3103|Gamma-ray bursts and supernovae"
    ]
  ],
  "openalex": "W7214997383",
  "pdf_url": "https://arxiv.org/pdf/2609.35994",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cvrkgygdmzpqn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.35994",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.35994"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    }
  ],
  "title": "Hierarchical Bayesian Inference on the intrinsic event rate of Type I gamma-ray bursts from the {\\it Fermi}/GBM catalogue",
  "title_text": "Hierarchical Bayesian Inference on the intrinsic event rate of Type I gamma-ray bursts from the {\\it Fermi}/GBM catalogue",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:31Z",
  "url": "https://research.draconitic.com/paper/cvrkgygdmzpqn",
  "venue": "arXiv",
  "versions": []
}