{"id":"https://openalex.org/W2906215142","doi":"https://doi.org/10.48550/arxiv.1812.08965","title":"The FDR-Linking Theorem","display_name":"The FDR-Linking Theorem","publication_year":2018,"publication_date":"2018-12-21","ids":{"openalex":"https://openalex.org/W2906215142","doi":"https://doi.org/10.48550/arxiv.1812.08965","mag":"2906215142"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1812.08965","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.08965","pdf_url":"https://arxiv.org/pdf/1812.08965","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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1812.08965","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080575294","display_name":"Weijie Su","orcid":"https://orcid.org/0000-0003-1787-1219","observed_orcids":["https://orcid.org/0000-0003-1787-1219"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Su, Weijie J.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5080575294"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.8134999871253967,"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/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.8134999871253967,"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/T10136","display_name":"Statistical Methods and Inference","score":0.07670000195503235,"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":0.013199999928474426,"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/false-discovery-rate-control","display_name":"false discovery rate control","score":0.8809999823570251},{"id":"https://openalex.org/keywords/benjamini-hochberg-procedure","display_name":"Benjamini-Hochberg procedure","score":0.9900000095367432},{"id":"https://openalex.org/keywords/multiple-testing","display_name":"multiple comparisons","score":0.7670000195503235}],"concepts":[{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.8516108989715576},{"id":"https://openalex.org/C193244246","wikidata":"https://www.wikidata.org/wiki/Q5432696","display_name":"False discovery rate","level":3,"score":0.7946968078613281},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.7221712470054626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.528954029083252},{"id":"https://openalex.org/C191988596","wikidata":"https://www.wikidata.org/wiki/Q628374","display_name":"Null hypothesis","level":2,"score":0.47667574882507324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.390926718711853},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22640776634216309},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19051936268806458},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09400215744972229},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.07997411489486694},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:1812.08965","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.08965","pdf_url":"https://arxiv.org/pdf/1812.08965","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":"mag:2906215142","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1812.08965","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1812.08965","doi":"https://doi.org/10.48550/arxiv.1812.08965","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1812.08965","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1812.08965","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.08965","pdf_url":"https://arxiv.org/pdf/1812.08965","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"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W176740775","https://openalex.org/W200978175","https://openalex.org/W1511750995","https://openalex.org/W1590047728","https://openalex.org/W1596515083","https://openalex.org/W1635341812","https://openalex.org/W1916786071","https://openalex.org/W1978808444","https://openalex.org/W1980361506","https://openalex.org/W1986765826","https://openalex.org/W1988414849","https://openalex.org/W1994431105","https://openalex.org/W2003639837","https://openalex.org/W2005494216","https://openalex.org/W2010348162","https://openalex.org/W2023428137","https://openalex.org/W2025604635","https://openalex.org/W2027494596","https://openalex.org/W2044666483","https://openalex.org/W2058846847","https://openalex.org/W2060072410","https://openalex.org/W2071152671","https://openalex.org/W2071206313","https://openalex.org/W2071521616","https://openalex.org/W2072973390","https://openalex.org/W2074248125","https://openalex.org/W2080354114","https://openalex.org/W2081499052","https://openalex.org/W2088387197","https://openalex.org/W2099107563","https://openalex.org/W2105381419","https://openalex.org/W2110065044","https://openalex.org/W2112659545","https://openalex.org/W2113175552","https://openalex.org/W2124738224","https://openalex.org/W2125905177","https://openalex.org/W2146273335","https://openalex.org/W2157795344","https://openalex.org/W2163274894","https://openalex.org/W2170285758","https://openalex.org/W2229445817","https://openalex.org/W2755232099","https://openalex.org/W2773840459","https://openalex.org/W2969742487","https://openalex.org/W3102030229","https://openalex.org/W3104900741","https://openalex.org/W3124195593","https://openalex.org/W3198240635"],"related_works":["https://openalex.org/W1990373954","https://openalex.org/W2492018072","https://openalex.org/W2118778496","https://openalex.org/W2981654198","https://openalex.org/W2943253550","https://openalex.org/W2949506273","https://openalex.org/W2783036349","https://openalex.org/W3106252482","https://openalex.org/W3098952422","https://openalex.org/W3101806546","https://openalex.org/W1857488133","https://openalex.org/W34991387","https://openalex.org/W2076520457","https://openalex.org/W2134099778","https://openalex.org/W62839415","https://openalex.org/W3114223810","https://openalex.org/W3087389192","https://openalex.org/W2132807086","https://openalex.org/W314502639","https://openalex.org/W3100392041"],"abstract_inverted_index":{"This":[0,25,116],"paper":[1],"introduces":[2],"the":[3,15,23,38,42,55,58,64,69,83,90,99,102,112,149,160,164,169,176,196],"\\texttt{FDR-linking}":[4,150],"theorem,":[5,73],"a":[6,28,47,52,76,106,132,187],"novel":[7],"technique":[8],"for":[9],"understanding":[10],"\\textit{non-asymptotic}":[11],"FDR":[12,43,56,100,146,154,189,198],"control":[13,44],"of":[14,22,57,71,79,101,111,114,163,171],"Benjamini--Hochberg":[16],"(BH)":[17],"procedure":[18,60,104],"under":[19,124,191],"arbitrary":[20,192],"dependence":[21,80,93,127],"$p$-values.":[24,66],"theorem":[26,151,182],"offers":[27],"principled":[29],"and":[30,37,95,148,201],"flexible":[31],"approach":[32],"to":[33,51,121,135,175,185],"linking":[34],"all":[35],"$p$-values":[36,40],"null":[39,65,84,165,178],"from":[41],"perspective,":[45],"suggesting":[46],"profound":[48],"implication":[49],"that,":[50],"large":[53],"extent,":[54],"BH":[59,103],"relies":[61],"mostly":[62],"on":[63],"To":[67],"illustrate":[68],"use":[70],"this":[72,125,172,181],"we":[74,130],"propose":[75],"new":[77,126,173],"type":[78],"only":[81],"concerning":[82],"$p$-values,":[85,166],"which,":[86],"while":[87],"strictly":[88],"\\textit{relaxing}":[89],"state-of-the-art":[91],"PRDS":[92],"(Benjamini":[94,200],"Yekutieli,":[96,202],"2001),":[97],"ensures":[98],"below":[105],"level":[107,117],"that":[108,139,153],"is":[109,140,156,183],"independent":[110],"number":[113],"hypotheses.":[115],"is,":[118],"furthermore,":[119],"shown":[120],"be":[122],"optimal":[123],"structure.":[128],"Next,":[129],"present":[131],"concept":[133,174],"referred":[134],"as":[136],"\\textit{FDR":[137],"consistency}":[138],"weaker":[141],"but":[142],"more":[143],"amenable":[144],"than":[145],"control,":[147],"shows":[152],"consistency":[155],"completely":[157],"determined":[158],"by":[159],"joint":[161],"distribution":[162],"thereby":[167],"reducing":[168],"analysis":[170],"global":[177],"case.":[179],"Finally,":[180],"used":[184],"obtain":[186],"sharp":[188],"bound":[190,199],"dependence,":[193],"which":[194],"improves":[195],"$\\log$-correction":[197],"2001)":[203],"in":[204],"certain":[205],"regimes.":[206]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}
