{"id":"https://openalex.org/W7214997383","doi":"https://doi.org/10.3847/1538-4357/aeaa3f","title":"Hierarchical Bayesian Inference on the Intrinsic Event Rate of Type I Gamma-Ray Bursts from the Fermi/GBM Catalog","display_name":"Hierarchical Bayesian Inference on the Intrinsic Event Rate of Type I Gamma-Ray Bursts from the Fermi/GBM Catalog","publication_year":2026,"publication_date":"2026-10-26","ids":{"openalex":"https://openalex.org/W7214997383","doi":"https://doi.org/10.3847/1538-4357/aeaa3f"},"language":"en","primary_location":{"id":"doi:10.3847/1538-4357/aeaa3f","doi":"https://doi.org/10.3847/1538-4357/aeaa3f","is_oa":true,"landing_page_url":"https://doi.org/10.3847/1538-4357/aeaa3f","pdf_url":"https://iopscience.iop.org/article/10.3847/1538-4357/aeaa3f/pdf","source":{"id":"https://openalex.org/S1980519","display_name":"The Astrophysical Journal","issn_l":"0004-637X","issn":["0004-637X","1538-4357"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-a","jufo-1","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Astrophysical Journal","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://iopscience.iop.org/article/10.3847/1538-4357/aeaa3f/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153589096","display_name":"Cao Tian-Yong","orcid":"https://orcid.org/0009-0000-1101-3470","observed_orcids":["https://orcid.org/0009-0000-1101-3470"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tian-Yong Cao","raw_affiliation_strings":["Chinese Academy of Sciences","University of Chinese Academy of Sciences"],"raw_orcid":"https://orcid.org/0009-0000-1101-3470","affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153593151","display_name":"Yi Shu-Xu","orcid":"https://orcid.org/0000-0001-7599-0174","observed_orcids":["https://orcid.org/0000-0001-7599-0174"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shu-Xu Yi","raw_affiliation_strings":["Chinese Academy of Sciences","University of Chinese Academy of Sciences"],"raw_orcid":"https://orcid.org/0000-0001-7599-0174","affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059118609","display_name":"Du Yun-Fei","orcid":"https://orcid.org/0000-0002-1905-1727","observed_orcids":["https://orcid.org/0000-0002-1905-1727"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210162962","display_name":"Beijing Academy of Science and Technology","ror":"https://ror.org/05ct4fn38","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210162962"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yun-Fei Du","raw_affiliation_strings":["Beijing Academy Science and Technology Branch","Chinese Academy of Sciences","University of Chinese Academy of Sciences"],"raw_orcid":"https://orcid.org/0000-0002-1905-1727","affiliations":[{"raw_affiliation_string":"Beijing Academy Science and Technology Branch","institution_ids":["https://openalex.org/I4210162962"]},{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011919231","display_name":"Emre Seyit Yorgancioglu","orcid":"https://orcid.org/0000-0002-8442-9458","observed_orcids":["https://orcid.org/0000-0002-8442-9458"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Emre S. Yorgancioglu","raw_affiliation_strings":["Chinese Academy of Sciences","University of Chinese Academy of Sciences"],"raw_orcid":"https://orcid.org/0000-0002-8442-9458","affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5153652892","display_name":"Xiong Shao-Lin","orcid":"https://orcid.org/0000-0002-4771-7653","observed_orcids":["https://orcid.org/0000-0002-4771-7653"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shao-Lin Xiong","raw_affiliation_strings":["Chinese Academy of Sciences","University of Chinese Academy of Sciences"],"raw_orcid":"https://orcid.org/0000-0002-4771-7653","affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5153593151"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210165038"],"apc_list":{"value":4499,"currency":"USD","value_usd":4499},"apc_paid":{"value":4499,"currency":"USD","value_usd":4499},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.64430425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1011","issue":"1","first_page":"47","last_page":"47"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11323","display_name":"Gamma-ray bursts and supernovae","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11323","display_name":"Gamma-ray bursts and supernovae","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10818","display_name":"Astrophysics and Cosmic Phenomena","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/binary-neutron-star-mergers","display_name":"binary neutron star mergers","score":0.8429999947547913},{"id":"https://openalex.org/keywords/hierarchical-bayesian-inference","display_name":"hierarchical Bayesian inference","score":0.843999981880188},{"id":"https://openalex.org/keywords/redshift-distribution","display_name":"redshift distribution","score":0.5989999771118164},{"id":"https://openalex.org/keywords/selection-effects","display_name":"selection effects","score":0.781000018119812},{"id":"https://openalex.org/keywords/jet-structure","display_name":"jet structure","score":0.6660000085830688},{"id":"https://openalex.org/keywords/luminosity-function","display_name":"luminosity function","score":0.9039999842643738},{"id":"https://openalex.org/keywords/star-formation-rate","display_name":"star formation rate","score":0.7889999747276306},{"id":"https://openalex.org/keywords/delay-distribution","display_name":"delay distribution","score":0.9629999995231628},{"id":"https://openalex.org/keywords/gravitational-wave-constraints","display_name":"gravitational wave constraints","score":0.4309999942779541},{"id":"https://openalex.org/keywords/population-synthesis","display_name":"population synthesis","score":0.3400000035762787}],"concepts":[{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.5856999754905701},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5759000182151794},{"id":"https://openalex.org/C33024259","wikidata":"https://www.wikidata.org/wiki/Q76250","display_name":"Redshift","level":3,"score":0.5054000020027161},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.491100013256073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4350999891757965},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.4343000054359436},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43299999833106995},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.42500001192092896},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4169999957084656},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4083000123500824},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.3968999981880188},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37599998712539673},{"id":"https://openalex.org/C17599544","wikidata":"https://www.wikidata.org/wiki/Q22247","display_name":"Gamma-ray burst","level":2,"score":0.37540000677108765},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.3695000112056732},{"id":"https://openalex.org/C191413810","wikidata":"https://www.wikidata.org/wiki/Q17100952","display_name":"Bayesian hierarchical modeling","level":4,"score":0.36739999055862427},{"id":"https://openalex.org/C192887742","wikidata":"https://www.wikidata.org/wiki/Q4202","display_name":"Neutron star","level":2,"score":0.3668000102043152},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3612000048160553},{"id":"https://openalex.org/C93959086","wikidata":"https://www.wikidata.org/wiki/Q6888345","display_name":"Model selection","level":2,"score":0.35989999771118164},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.35409998893737793},{"id":"https://openalex.org/C95167961","wikidata":"https://www.wikidata.org/wiki/Q4483495","display_name":"Fiducial inference","level":5,"score":0.35120001435279846},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.3384000062942505},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.3361999988555908},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.32690000534057617},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3077999949455261},{"id":"https://openalex.org/C8642999","wikidata":"https://www.wikidata.org/wiki/Q4171168","display_name":"Hyperparameter","level":2,"score":0.3005000054836273},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.28999999165534973},{"id":"https://openalex.org/C17959413","wikidata":"https://www.wikidata.org/wiki/Q899219","display_name":"Luminosity function","level":4,"score":0.2863999903202057},{"id":"https://openalex.org/C12287442","wikidata":"https://www.wikidata.org/wiki/Q105902","display_name":"Luminosity","level":3,"score":0.27959999442100525},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.27720001339912415},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.274399995803833},{"id":"https://openalex.org/C917703","wikidata":"https://www.wikidata.org/wiki/Q7239668","display_name":"Predictive inference","level":5,"score":0.27250000834465027},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2720000147819519},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2711000144481659},{"id":"https://openalex.org/C162376815","wikidata":"https://www.wikidata.org/wiki/Q2158281","display_name":"Frequentist inference","level":4,"score":0.2662000060081482},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.25119999051094055},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.2506999969482422},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3847/1538-4357/aeaa3f","doi":"https://doi.org/10.3847/1538-4357/aeaa3f","is_oa":true,"landing_page_url":"https://doi.org/10.3847/1538-4357/aeaa3f","pdf_url":"https://iopscience.iop.org/article/10.3847/1538-4357/aeaa3f/pdf","source":{"id":"https://openalex.org/S1980519","display_name":"The Astrophysical Journal","issn_l":"0004-637X","issn":["0004-637X","1538-4357"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-a","jufo-1","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Astrophysical Journal","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2609.35994","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35994","pdf_url":"https://arxiv.org/pdf/2609.35994","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:45786f55d015432194fce391e1b75620","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/45786f55d015432194fce391e1b75620","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Astrophysical Journal, Vol 1011, Iss 1, p 47 (2026)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2609.35994","doi":"https://doi.org/10.48550/arxiv.2609.35994","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.35994","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.3847/1538-4357/aeaa3f","doi":"https://doi.org/10.3847/1538-4357/aeaa3f","is_oa":true,"landing_page_url":"https://doi.org/10.3847/1538-4357/aeaa3f","pdf_url":"https://iopscience.iop.org/article/10.3847/1538-4357/aeaa3f/pdf","source":{"id":"https://openalex.org/S1980519","display_name":"The Astrophysical Journal","issn_l":"0004-637X","issn":["0004-637X","1538-4357"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-a","jufo-1","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Astrophysical Journal","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2627914446","display_name":null,"funder_award_id":"12494570","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4494876274","display_name":null,"funder_award_id":"E25155U1","funder_id":"https://openalex.org/F4320321133","funder_display_name":"Chinese Academy of Sciences"},{"id":"https://openalex.org/G4760038343","display_name":null,"funder_award_id":"E25155U1","funder_id":"https://openalex.org/F4320335641","funder_display_name":"Institute of High Energy Physics"},{"id":"https://openalex.org/G5300289864","display_name":null,"funder_award_id":"XDB0550300","funder_id":"https://openalex.org/F4320321133","funder_display_name":"Chinese Academy of Sciences"},{"id":"https://openalex.org/G8750044232","display_name":null,"funder_award_id":"12494572","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320335641","display_name":"Institute of High Energy Physics","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214997383.pdf","grobid_xml":"https://content.openalex.org/works/W7214997383.grobid-xml"},"referenced_works_count":78,"referenced_works":["https://openalex.org/W1534966610","https://openalex.org/W1580764193","https://openalex.org/W1658254064","https://openalex.org/W1663397801","https://openalex.org/W1963491799","https://openalex.org/W1963696281","https://openalex.org/W1964623468","https://openalex.org/W1978615286","https://openalex.org/W1978916504","https://openalex.org/W2003357340","https://openalex.org/W2020377857","https://openalex.org/W2052002251","https://openalex.org/W2054306311","https://openalex.org/W2062408338","https://openalex.org/W2063397409","https://openalex.org/W2070722652","https://openalex.org/W2082277604","https://openalex.org/W2086437052","https://openalex.org/W2086775208","https://openalex.org/W2087010948","https://openalex.org/W2090568279","https://openalex.org/W2133684002","https://openalex.org/W2143470469","https://openalex.org/W2155833624","https://openalex.org/W2161977657","https://openalex.org/W2169352458","https://openalex.org/W2184842832","https://openalex.org/W2226366548","https://openalex.org/W2342129039","https://openalex.org/W2462805925","https://openalex.org/W2497409400","https://openalex.org/W2762457017","https://openalex.org/W2765081049","https://openalex.org/W2765302758","https://openalex.org/W2795322206","https://openalex.org/W2803232194","https://openalex.org/W2810137848","https://openalex.org/W2885957034","https://openalex.org/W2910858589","https://openalex.org/W2911177745","https://openalex.org/W2923887654","https://openalex.org/W2940782187","https://openalex.org/W2941545623","https://openalex.org/W2986316466","https://openalex.org/W3005499114","https://openalex.org/W3007641988","https://openalex.org/W3021080014","https://openalex.org/W3034147393","https://openalex.org/W3044382151","https://openalex.org/W3161193838","https://openalex.org/W3169808440","https://openalex.org/W3177383305","https://openalex.org/W3187014860","https://openalex.org/W4206771864","https://openalex.org/W4225136154","https://openalex.org/W4226083230","https://openalex.org/W4311582376","https://openalex.org/W4353028638","https://openalex.org/W4377096633","https://openalex.org/W4383472826","https://openalex.org/W4387500769","https://openalex.org/W4387939999","https://openalex.org/W4389143599","https://openalex.org/W4391942253","https://openalex.org/W4392699692","https://openalex.org/W4405032025","https://openalex.org/W4405436611","https://openalex.org/W4406618084","https://openalex.org/W4407957491","https://openalex.org/W4408273378","https://openalex.org/W4410191777","https://openalex.org/W4413202355","https://openalex.org/W6968966526","https://openalex.org/W7117115319","https://openalex.org/W7162575693","https://openalex.org/W7168158497","https://openalex.org/W7171383956","https://openalex.org/W7204124750"],"related_works":["https://openalex.org/W2967949808","https://openalex.org/W7095107982","https://openalex.org/W4414424699","https://openalex.org/W3201647617","https://openalex.org/W1674864527","https://openalex.org/W1643185401","https://openalex.org/W4411785365","https://openalex.org/W4405032025","https://openalex.org/W4386160871","https://openalex.org/W3026875850"],"abstract_inverted_index":{"Abstract":[0],"The":[1,94,119,137],"intrinsic":[2,138],"event-rate":[3,72],"of":[4,13,38,44,87,103,116,122,145,159],"Type":[5,64],"I":[6,65],"gamma-ray":[7],"bursts":[8],"(GRBs)":[9],"as":[10,142],"a":[11,16,56,113,133,143,155],"function":[12,144],"redshift,":[14],"provides":[15],"probe":[17],"for":[18,41,77],"the":[19,27,36,42,62,70,78,84,98,107,123,126,181],"binary":[20],"neutron":[21],"star":[22,109],"(BNS)":[23],"merger":[24],"population.":[25,73],"However,":[26],"abovementioned":[28],"inference":[29,59],"is":[30,147,178],"complicated":[31],"by":[32],"instrumental":[33],"selection":[34,79],"effects,":[35],"lack":[37],"redshift":[39,146],"measurements":[40],"majority":[43],"GRBs,":[45],"and":[46,81,91,112],"uncertainties":[47],"in":[48,125],"jet":[49,92,104],"geometry.":[50],"In":[51],"this":[52],"work,":[53],"we":[54],"applied":[55],"hierarchical":[57],"Bayesian":[58],"framework":[60,75],"to":[61,68,129,150],"Fermi/GBM":[63],"GRB":[66,89],"catalog":[67],"reconstruct":[69],"underlying":[71],"This":[74],"accounts":[76],"effects":[80],"marginalizes":[82],"over":[83],"limited-information":[85],"posteriors":[86],"individual":[88],"redshifts":[90],"structures.":[93],"population":[95],"model":[96,127],"uses":[97],"parameterized":[99],"luminosity":[100],"function,":[101],"distribution":[102,115,121],"structure":[105],"parameters,":[106],"Madau-\u2013Dickinson":[108],"formation":[110],"rate":[111,140,157],"delay-time":[114],"BNS":[117],"mergers.":[118],"posterior":[120],"hyperparameters":[124],"are":[128],"be":[130],"inferred,":[131],"using":[132],"GPU-accelerated":[134],"MCMC":[135],"algorithm.":[136],"event":[139],"density":[141,158],"constrained":[148],"up":[149],"z":[151],"=":[152,162],"5,":[153],"which":[154,177],"local":[156],"R":[160],"0":[161],"22":[163],".":[164],"6":[165],"\u2212":[166,171,174],"10.6":[167],"+":[168],"15.0":[169],"Gpc":[170],"3":[172],"yr":[173],"1":[175],",":[176],"consistent":[179],"with":[180],"latest":[182],"gravitational-wave":[183],"measurements.":[184]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-10-01T00:00:00"}
