{"id":"https://openalex.org/W2991169837","doi":"https://doi.org/10.3150/19-bej1140","title":"Consistent semiparametric estimators for recurrent event times models with application to virtual age models","display_name":"Consistent semiparametric estimators for recurrent event times models with application to virtual age models","publication_year":2019,"publication_date":"2019-11-26","ids":{"openalex":"https://openalex.org/W2991169837","doi":"https://doi.org/10.3150/19-bej1140","mag":"2991169837"},"language":"en","primary_location":{"id":"doi:10.3150/19-bej1140","doi":"https://doi.org/10.3150/19-bej1140","is_oa":false,"landing_page_url":"https://doi.org/10.3150/19-bej1140","pdf_url":null,"source":{"id":"https://openalex.org/S172538041","display_name":"Bernoulli","issn_l":"1350-7265","issn":["1350-7265","1573-9759"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-2","norway-2","poland-140","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310321043","host_organization_name":"Chapman and Hall London","host_organization_lineage":["https://openalex.org/P4310321043","https://openalex.org/P4310320584"],"host_organization_lineage_names":["Chapman and Hall London","CRC Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bernoulli","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.vu.nl/en/publications/de3cef04-496f-4dc2-994b-638216a9699a","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073406033","display_name":"Eric Beutner","orcid":"https://orcid.org/0000-0002-8598-6707","observed_orcids":["https://orcid.org/0000-0002-8598-6707"]},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Eric Beutner","raw_affiliation_strings":["Department of Quantitative Economics [Maastricht] (Department of Quantitative Economics P.O.Box 616 6200 MD Maastricht The Netherlands - Pays-Bas)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Quantitative Economics [Maastricht] (Department of Quantitative Economics P.O.Box 616 6200 MD Maastricht The Netherlands - Pays-Bas)","institution_ids":["https://openalex.org/I34352273"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046082988","display_name":"Laurent Bordes","orcid":"https://orcid.org/0000-0002-2083-872X","observed_orcids":["https://orcid.org/0000-0002-2083-872X"]},"institutions":[{"id":"https://openalex.org/I144889574","display_name":"Universit\u00e9 de Pau et des Pays de l'Adour","ror":"https://ror.org/01frn9647","country_code":"FR","type":"education","lineage":["https://openalex.org/I144889574"]},{"id":"https://openalex.org/I4210091673","display_name":"Laboratoire de Math\u00e9matiques et de leurs Applications","ror":"https://ror.org/00g669j87","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I144889574","https://openalex.org/I4210091673","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Bordes","raw_affiliation_strings":["LMAP - Laboratoire de Math\u00e9matiques et de leurs Applications [Pau] (B\u00e2timent IPRA - Universit\u00e9 de Pau et des Pays de l'Adour Avenue de l'Universit\u00e9 - BP 1155 64013 PAU CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAP - Laboratoire de Math\u00e9matiques et de leurs Applications [Pau] (B\u00e2timent IPRA - Universit\u00e9 de Pau et des Pays de l'Adour Avenue de l'Universit\u00e9 - BP 1155 64013 PAU CEDEX - France)","institution_ids":["https://openalex.org/I144889574","https://openalex.org/I4210091673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013106333","display_name":"Laurent Doyen","orcid":"https://orcid.org/0000-0002-3788-5696","observed_orcids":["https://orcid.org/0000-0002-3788-5696"]},"institutions":[{"id":"https://openalex.org/I4210149092","display_name":"Laboratoire Jean Kuntzmann","ror":"https://ror.org/04ett5b41","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210149092","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Doyen","raw_affiliation_strings":["LJK - Laboratoire Jean Kuntzmann (B\u00e2timent IMAG, CS 40700, F-38058 Grenoble Cedex 9  - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LJK - Laboratoire Jean Kuntzmann (B\u00e2timent IMAG, CS 40700, F-38058 Grenoble Cedex 9  - France)","institution_ids":["https://openalex.org/I4210149092"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3839,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65868002,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"26","issue":"1","first_page":"557","last_page":"586"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.8970000147819519,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.8970000147819519,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.05050000175833702,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.032099999487400055,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/semiparametric-estimation","display_name":"semiparametric estimation","score":0.8730000257492065},{"id":"https://openalex.org/keywords/consistent-estimators","display_name":"consistent estimators","score":0.8870000243186951},{"id":"https://openalex.org/keywords/profile-likelihood","display_name":"profile likelihood","score":0.7260000109672546},{"id":"https://openalex.org/keywords/empirical-processes","display_name":"empirical processes","score":0.7549999952316284},{"id":"https://openalex.org/keywords/asymptotic-properties","display_name":"asymptotic properties","score":0.7409999966621399}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7185592651367188},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5176182985305786},{"id":"https://openalex.org/C48406656","wikidata":"https://www.wikidata.org/wiki/Q534112","display_name":"Martingale (probability theory)","level":2,"score":0.47488826513290405},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.47328871488571167},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.47324687242507935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4713442027568817},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.42776715755462646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4272856116294861},{"id":"https://openalex.org/C2781104640","wikidata":"https://www.wikidata.org/wiki/Q11827313","display_name":"Counting process","level":2,"score":0.423765629529953},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24413186311721802},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19490942358970642}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3150/19-bej1140","doi":"https://doi.org/10.3150/19-bej1140","is_oa":false,"landing_page_url":"https://doi.org/10.3150/19-bej1140","pdf_url":null,"source":{"id":"https://openalex.org/S172538041","display_name":"Bernoulli","issn_l":"1350-7265","issn":["1350-7265","1573-9759"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-2","norway-2","poland-140","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310321043","host_organization_name":"Chapman and Hall London","host_organization_lineage":["https://openalex.org/P4310321043","https://openalex.org/P4310320584"],"host_organization_lineage_names":["Chapman and Hall London","CRC Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bernoulli","raw_type":"journal-article"},{"id":"pmh:vu:oai:research.vu.nl:publications/de3cef04-496f-4dc2-994b-638216a9699a","doi":null,"is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/de3cef04-496f-4dc2-994b-638216a9699a","pdf_url":"https://research.vu.nl/en/publications/de3cef04-496f-4dc2-994b-638216a9699a","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bernoulli, 26(1), 557 - 586. International Statistical Institute","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CULeuclid:euclid.bj/1574758838","doi":null,"is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.bj/1574758838","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:HAL:hal-01997503v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.univ-grenoble-alpes.fr/hal-01997503","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bernoulli, 2020, 26 (1), pp.557-586. &#x27E8;10.3150/19-BEJ1140&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:research.vu.nl:openaire/de3cef04-496f-4dc2-994b-638216a9699a","doi":null,"is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/de3cef04-496f-4dc2-994b-638216a9699a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Beutner, E, Bordes, L & Doyen, L 2020, 'Consistent semiparametric estimators for recurrent event times models with application to virtual age models', Bernoulli, vol. 26, no. 1, pp. 557-586. https://doi.org/10.3150/19-BEJ1140","raw_type":"article"}],"best_oa_location":{"id":"pmh:vu:oai:research.vu.nl:publications/de3cef04-496f-4dc2-994b-638216a9699a","doi":null,"is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/de3cef04-496f-4dc2-994b-638216a9699a","pdf_url":"https://research.vu.nl/en/publications/de3cef04-496f-4dc2-994b-638216a9699a","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bernoulli, 26(1), 557 - 586. International Statistical Institute","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2991169837.pdf","grobid_xml":"https://content.openalex.org/works/W2991169837.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1460189015","https://openalex.org/W1494478641","https://openalex.org/W1507545330","https://openalex.org/W1509689762","https://openalex.org/W1983321209","https://openalex.org/W2004191028","https://openalex.org/W2005790857","https://openalex.org/W2010353172","https://openalex.org/W2012500654","https://openalex.org/W2018461777","https://openalex.org/W2059502880","https://openalex.org/W2080683176","https://openalex.org/W2081502844","https://openalex.org/W2089081390","https://openalex.org/W2093517825","https://openalex.org/W2107305576","https://openalex.org/W2109993473","https://openalex.org/W2221223957","https://openalex.org/W2316375461","https://openalex.org/W2338965730","https://openalex.org/W2344998188","https://openalex.org/W2418836011","https://openalex.org/W2475903328","https://openalex.org/W2617442720","https://openalex.org/W3102431902","https://openalex.org/W4245777296","https://openalex.org/W4292027009","https://openalex.org/W4367633674"],"related_works":["https://openalex.org/W2383807498","https://openalex.org/W1978572805","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W3101001503","https://openalex.org/W2964924654","https://openalex.org/W1973613556","https://openalex.org/W1551957289","https://openalex.org/W2776983943","https://openalex.org/W4239828886"],"abstract_inverted_index":{"Virtual":[0],"age":[1,64,85,91,154],"models":[2,15,86,111,155],"are":[3],"very":[4],"useful":[5],"to":[6,19,45,73,118,120,148,171,187,196],"analyse":[7],"recurrent":[8,35],"events.":[9],"Among":[10],"the":[11,37,50,54,58,62,68,112,134,151,157],"strengths":[12],"of":[13,39,49,150,156,178],"these":[14,110,179],"is":[16,41,98,185],"their":[17,31],"ability":[18],"account":[20],"for":[21,33,109,174],"treatment":[22,69],"(or":[23,70],"intervention)":[24,71],"effects":[25,72],"after":[26],"an":[27,194],"event":[28],"occurrence.":[29],"Despite":[30],"flexibility":[32],"modeling":[34],"events,":[36],"number":[38],"applications":[40],"limited.":[42],"This":[43,76],"seems":[44],"be":[46,74,79,130,146,167],"a":[47,96,99,168],"result":[48,144],"fact":[51],"that":[52,66,108,126,141,162],"in":[53],"semiparametric":[55,83],"setting":[56],"all":[57],"existing":[59],"results":[60,191],"assume":[61],"virtual":[63,84,90,153],"function":[65,137],"describes":[67],"known.":[75],"shortcoming":[77],"can":[78,129,145],"overcome":[80],"by":[81,132],"considering":[82],"with":[87,193],"parametrically":[88],"specified":[89],"functions.":[92],"Yet,":[93],"fitting":[94],"such":[95],"model":[97],"difficult":[100],"task.":[101],"Indeed,":[102],"it":[103],"has":[104],"recently":[105],"been":[106],"shown":[107],"standard":[113],"profile":[114,135],"likelihood":[115],"method":[116],"fails":[117],"lead":[119],"consistent":[121,127],"estimators.":[122],"Here":[123],"we":[124],"show":[125,140],"estimators":[128],"constructed":[131],"smoothing":[133],"log-likelihood":[136],"appropriately.":[138],"We":[139],"our":[142,189],"general":[143],"applied":[147],"most":[149],"relevant":[152],"literature.":[158],"Our":[159],"approach":[160],"shows":[161],"empirical":[163],"process":[164],"techniques":[165],"may":[166],"worthwhile":[169],"alternative":[170],"martingale":[172],"methods":[173],"studying":[175],"asymptotic":[176],"properties":[177],"inference":[180],"methods.":[181],"A":[182],"simulation":[183],"study":[184],"provided":[186],"illustrate":[188],"consistency":[190],"together":[192],"application":[195],"real":[197],"data.":[198]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-09T09:14:12.587421","created_date":"2025-10-10T00:00:00"}
