{"id":"https://openalex.org/W2071820122","doi":"https://doi.org/10.1214/009053604000000526","title":"A Bernstein\u2013von Mises theorem in the nonparametric right-censoring model","display_name":"A Bernstein\u2013von Mises theorem in the nonparametric right-censoring model","publication_year":2004,"publication_date":"2004-08-01","ids":{"openalex":"https://openalex.org/W2071820122","doi":"https://doi.org/10.1214/009053604000000526","mag":"2071820122"},"language":"en","primary_location":{"id":"doi:10.1214/009053604000000526","doi":"https://doi.org/10.1214/009053604000000526","is_oa":true,"landing_page_url":"https://doi.org/10.1214/009053604000000526","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-32/issue-4/A-Bernsteinvon-Mises-theorem-in-the-nonparametric-right-censoring-model/10.1214/009053604000000526.pdf","source":{"id":"https://openalex.org/S119757635","display_name":"The Annals of Statistics","issn_l":"0090-5364","issn":["0090-5364","2168-8966"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Statistics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-32/issue-4/A-Bernsteinvon-Mises-theorem-in-the-nonparametric-right-censoring-model/10.1214/009053604000000526.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yongdai Kim","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Yongdai Kim","raw_affiliation_strings":["Seoul National University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Seoul National University","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jaeyong Lee","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jaeyong Lee","raw_affiliation_strings":["DEPARTMENT OF STATISTICS SEOUL NATIONAL UNIVERSITY SEOUL 151-742 KOREA","Seoul National University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DEPARTMENT OF STATISTICS SEOUL NATIONAL UNIVERSITY SEOUL 151-742 KOREA","institution_ids":["https://openalex.org/I139264467"]},{"raw_affiliation_string":"Seoul National University","institution_ids":["https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I139264467"],"apc_list":null,"apc_paid":null,"fwci":0.656,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.73906209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"32","issue":"4","first_page":"1492","last_page":"1512"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.5297999978065491,"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":0.5297999978065491,"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":0.16040000319480896,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.0982000008225441,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bernstein-von-mises-theorem","display_name":"Bernstein-von Mises theorem","score":0.9919999837875366},{"id":"https://openalex.org/keywords/nonparametric-bayesian-inference","display_name":"Bayesian nonparametrics","score":0.8420000076293945},{"id":"https://openalex.org/keywords/survival-modeling","display_name":"survival models","score":0.9380000233650208},{"id":"https://openalex.org/keywords/posterior-distribution","display_name":"posterior distribution","score":0.7020000219345093},{"id":"https://openalex.org/keywords/posterior-convergence-rates","display_name":"posterior convergence rates","score":0.5659999847412109},{"id":"https://openalex.org/keywords/optimal-convergence-rates","display_name":"optimal convergence rates","score":0.5849999785423279}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7806000113487244},{"id":"https://openalex.org/C155165730","wikidata":"https://www.wikidata.org/wiki/Q1319519","display_name":"von Mises yield criterion","level":3,"score":0.6571000218391418},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.6241000294685364},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6180999875068665},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5882999897003174},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5638999938964844},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5169000029563904},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4984000027179718},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.48660001158714294},{"id":"https://openalex.org/C198138136","wikidata":"https://www.wikidata.org/wiki/Q7941490","display_name":"von Mises distribution","level":4,"score":0.45080000162124634},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.41929998993873596},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.38100001215934753},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3741999864578247},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.3244999945163727},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32269999384880066},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.302700012922287},{"id":"https://openalex.org/C157709441","wikidata":"https://www.wikidata.org/wiki/Q1411887","display_name":"Uniform convergence","level":3,"score":0.288100004196167},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2879999876022339},{"id":"https://openalex.org/C102094743","wikidata":"https://www.wikidata.org/wiki/Q133871","display_name":"Normal distribution","level":2,"score":0.26980000734329224},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.26759999990463257},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C3020402766","wikidata":"https://www.wikidata.org/wiki/Q104376712","display_name":"Prior information","level":2,"score":0.2526000142097473}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1214/009053604000000526","doi":"https://doi.org/10.1214/009053604000000526","is_oa":true,"landing_page_url":"https://doi.org/10.1214/009053604000000526","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-32/issue-4/A-Bernsteinvon-Mises-theorem-in-the-nonparametric-right-censoring-model/10.1214/009053604000000526.pdf","source":{"id":"https://openalex.org/S119757635","display_name":"The Annals of Statistics","issn_l":"0090-5364","issn":["0090-5364","2168-8966"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Statistics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0410083","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0410083","pdf_url":"https://arxiv.org/pdf/math/0410083","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:CULeuclid:euclid.aos/1091626176","doi":null,"is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.aos/1091626176","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":"doi:10.48550/arxiv.math/0410083","doi":"https://doi.org/10.48550/arxiv.math/0410083","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.math/0410083","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1214/009053604000000526","doi":"https://doi.org/10.1214/009053604000000526","is_oa":true,"landing_page_url":"https://doi.org/10.1214/009053604000000526","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-32/issue-4/A-Bernsteinvon-Mises-theorem-in-the-nonparametric-right-censoring-model/10.1214/009053604000000526.pdf","source":{"id":"https://openalex.org/S119757635","display_name":"The Annals of Statistics","issn_l":"0090-5364","issn":["0090-5364","2168-8966"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Statistics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321292","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2071820122.pdf","grobid_xml":"https://content.openalex.org/works/W2071820122.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1495288292","https://openalex.org/W1524622012","https://openalex.org/W1548584376","https://openalex.org/W1965361479","https://openalex.org/W1982265941","https://openalex.org/W1987532879","https://openalex.org/W1995672551","https://openalex.org/W1998107368","https://openalex.org/W2002964079","https://openalex.org/W2003706076","https://openalex.org/W2008831573","https://openalex.org/W2019420194","https://openalex.org/W2021469018","https://openalex.org/W2023824831","https://openalex.org/W2027608755","https://openalex.org/W2029443303","https://openalex.org/W2035403755","https://openalex.org/W2041327972","https://openalex.org/W2062532221","https://openalex.org/W2063030761","https://openalex.org/W2072467104","https://openalex.org/W2089857405","https://openalex.org/W2111117254","https://openalex.org/W2138646672","https://openalex.org/W2230054973","https://openalex.org/W2589300570","https://openalex.org/W2904648838","https://openalex.org/W4249128886","https://openalex.org/W4292025355","https://openalex.org/W4292027009","https://openalex.org/W4297584681","https://openalex.org/W6696655157"],"related_works":[],"abstract_inverted_index":{"In":[0,34],"the":[1,21,27,48,65,85,96],"recent":[2],"Bayesian":[3,13],"nonparametric":[4],"literature,":[5],"many":[6],"examples":[7],"have":[8],"been":[9],"reported":[10],"in":[11,42,53],"which":[12],"estimators":[14],"and":[15],"posterior":[16,93],"distributions":[17],"do":[18],"not":[19,32],"achieve":[20],"optimal":[22],"convergence":[23,75,97],"rate,":[24],"indicating":[25],"that":[26,47,91],"Bernstein\u2013von":[28,49],"Mises":[29,50],"theorem":[30,51],"does":[31],"hold.":[33],"this":[35,43],"article,":[36],"we":[37],"give":[38],"a":[39,57,80],"positive":[40],"result":[41],"direction":[44],"by":[45],"showing":[46],"holds":[52],"survival":[54],"models":[55],"for":[56,71],"large":[58],"class":[59],"of":[60],"prior":[61,81],"processes":[62],"neutral":[63,83],"to":[64,84],"right.":[66],"We":[67],"also":[68],"show":[69],"that,":[70],"an":[72],"arbitrarily":[73],"given":[74],"rate":[76,98],"n\u2212\u03b1":[77],"with":[78],"0<\u03b1\u22641/2,":[79],"process":[82],"right":[86],"can":[87],"be":[88],"chosen":[89],"so":[90],"its":[92],"distribution":[94],"achieves":[95],"n\u2212\u03b1.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2016-06-24T00:00:00"}