{"id":"https://openalex.org/W2059797705","doi":"https://doi.org/10.1214/aos/1176349035","title":"Minimax Regression Designs Under Uniform Departure Models","display_name":"Minimax Regression Designs Under Uniform Departure Models","publication_year":1993,"publication_date":"1993-03-01","ids":{"openalex":"https://openalex.org/W2059797705","doi":"https://doi.org/10.1214/aos/1176349035","mag":"2059797705"},"language":"en","primary_location":{"id":"doi:10.1214/aos/1176349035","doi":"https://doi.org/10.1214/aos/1176349035","is_oa":true,"landing_page_url":"https://doi.org/10.1214/aos/1176349035","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-21/issue-1/Minimax-Regression-Designs-Under-Uniform-Departure-Models/10.1214/aos/1176349035.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":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-21/issue-1/Minimax-Regression-Designs-Under-Uniform-Departure-Models/10.1214/aos/1176349035.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067819405","display_name":"Dei\u2010In Tang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Dei-In Tang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5067819405"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5906,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70797466,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"21","issue":"1","first_page":"434","last_page":"446"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.00419999985024333,"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/T13487","display_name":"Statistical and numerical algorithms","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/model-robustness","display_name":"model robustness","score":0.8360000252723694},{"id":"https://openalex.org/keywords/nonparametric-models","display_name":"nonparametric models","score":0.7009999752044678},{"id":"https://openalex.org/keywords/linear-functionals","display_name":"linear functionals","score":0.7609999775886536},{"id":"https://openalex.org/keywords/infinite-dimensional-models","display_name":"infinite-dimensional models","score":0.5450000166893005}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8795664310455322},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.7192912101745605},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5439141392707825},{"id":"https://openalex.org/C74127309","wikidata":"https://www.wikidata.org/wiki/Q3455886","display_name":"Nonparametric regression","level":3,"score":0.5350319743156433},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.533663272857666},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.5312210321426392},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4627992808818817},{"id":"https://openalex.org/C2778153524","wikidata":"https://www.wikidata.org/wiki/Q4241335","display_name":"Optimality criterion","level":2,"score":0.4170498251914978},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.40951457619667053},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19791334867477417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12722375988960266}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1214/aos/1176349035","doi":"https://doi.org/10.1214/aos/1176349035","is_oa":true,"landing_page_url":"https://doi.org/10.1214/aos/1176349035","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-21/issue-1/Minimax-Regression-Designs-Under-Uniform-Departure-Models/10.1214/aos/1176349035.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:CULeuclid:euclid.aos/1176349035","doi":null,"is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.aos/1176349035","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"}],"best_oa_location":{"id":"doi:10.1214/aos/1176349035","doi":"https://doi.org/10.1214/aos/1176349035","is_oa":true,"landing_page_url":"https://doi.org/10.1214/aos/1176349035","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-21/issue-1/Minimax-Regression-Designs-Under-Uniform-Departure-Models/10.1214/aos/1176349035.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":[{"id":"https://metadata.un.org/sdg/11","score":0.6299999952316284,"display_name":"Sustainable cities and communities"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2059797705.pdf","grobid_xml":"https://content.openalex.org/works/W2059797705.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1521933716","https://openalex.org/W3122233919","https://openalex.org/W2043511319","https://openalex.org/W2075211605","https://openalex.org/W2019736931","https://openalex.org/W2000683594","https://openalex.org/W792023668","https://openalex.org/W2029823011","https://openalex.org/W2475313441","https://openalex.org/W2083573549"],"abstract_inverted_index":{"Model":[0],"robustness":[1],"in":[2,24],"optimal":[3,87],"regression":[4],"design":[5,62,96],"is":[6,64,74,79,92,105],"studied":[7],"by":[8],"introducing":[9],"a":[10,35,67],"family":[11],"of":[12,20,26,53,58,97,120,125],"nonparametric":[13],"models,":[14],"which":[15,104],"are":[16,32],"defined":[17],"as":[18,49],"neighborhoods":[19],"classical":[21,94,118],"parametric":[22],"models":[23,44],"terms":[25],"the":[27,72,77,93],"uniform":[28,109],"norm.":[29],"Optimal":[30],"designs":[31,88],"sought":[33],"under":[34],"minimax":[36],"criterion":[37],"for":[38,101],"estimating":[39],"linear":[40],"functionals":[41],"on":[42,116],"such":[43],"that":[45],"may":[46],"be":[47],"put":[48],"integrals":[50],"using":[51,66],"measures":[52],"finite":[54],"support.":[55],"A":[56],"set":[57],"conditions":[59,85,112],"equivalent":[60],"to":[61],"optimality":[63],"derived":[65],"Lagrangian":[68],"principle":[69],"applicable":[70],"when":[71],"dimension":[73],"infinite":[75],"and":[76,99,122,124],"function":[78],"not":[80],"everywhere":[81],"differentiable.":[82],"From":[83],"these":[84],"various":[86],"follow.":[89],"Among":[90],"them":[91],"extrapolation":[95],"Kiefer":[98,121],"Wolfowitz":[100,123],"Chebyshev":[102],"regression,":[103],"therefore":[106],"model-robust":[107],"against":[108],"departure.":[110],"The":[111],"also":[113],"shed":[114],"light":[115],"other":[117],"results":[119],"others.":[126]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-10-15T10:00:46.086208","created_date":"2025-10-10T00:00:00"}