{"id":"https://openalex.org/W4385549992","doi":"https://doi.org/10.1080/03610918.2023.2242606","title":"Sufficient dimension reduction in the presence of controlling variable and missing multivariate response","display_name":"Sufficient dimension reduction in the presence of controlling variable and missing multivariate response","publication_year":2023,"publication_date":"2023-08-03","ids":{"openalex":"https://openalex.org/W4385549992","doi":"https://doi.org/10.1080/03610918.2023.2242606"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2023.2242606","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2023.2242606","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074986245","display_name":"Hong\u2010Xia Xu","orcid":"https://orcid.org/0000-0001-7942-2975"},"institutions":[{"id":"https://openalex.org/I96733725","display_name":"Shanghai Maritime University","ror":"https://ror.org/04z7qrj66","country_code":"CN","type":"education","lineage":["https://openalex.org/I96733725"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongxia Xu","raw_affiliation_strings":["School of Science, Shanghai Maritime University","School of Science, Shanghai Maritime University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Shanghai Maritime University","institution_ids":["https://openalex.org/I96733725"]},{"raw_affiliation_string":"School of Science, Shanghai Maritime University, Shanghai, China","institution_ids":["https://openalex.org/I96733725"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102944211","display_name":"Yanting Xu","orcid":"https://orcid.org/0009-0008-5439-1947"},"institutions":[{"id":"https://openalex.org/I96733725","display_name":"Shanghai Maritime University","ror":"https://ror.org/04z7qrj66","country_code":"CN","type":"education","lineage":["https://openalex.org/I96733725"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanting Xu","raw_affiliation_strings":["School of Economics and Management, Shanghai Maritime University","School of Economics and Management, Shanghai Maritime University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Shanghai Maritime University","institution_ids":["https://openalex.org/I96733725"]},{"raw_affiliation_string":"School of Economics and Management, Shanghai Maritime University, Shanghai, China","institution_ids":["https://openalex.org/I96733725"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046435289","display_name":"Nengxiang Ling","orcid":null},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nengxiang Ling","raw_affiliation_strings":["School of Mathematics, Hefei University of Technology","School of Mathematics, Hefei University of Technology, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Hefei University of Technology","institution_ids":["https://openalex.org/I16365422"]},{"raw_affiliation_string":"School of Mathematics, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033712065","display_name":"Guoliang Fan","orcid":"https://orcid.org/0000-0002-9655-7545"},"institutions":[{"id":"https://openalex.org/I96733725","display_name":"Shanghai Maritime University","ror":"https://ror.org/04z7qrj66","country_code":"CN","type":"education","lineage":["https://openalex.org/I96733725"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoliang Fan","raw_affiliation_strings":["School of Economics and Management, Shanghai Maritime University","School of Economics and Management, Shanghai Maritime University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Shanghai Maritime University","institution_ids":["https://openalex.org/I96733725"]},{"raw_affiliation_string":"School of Economics and Management, Shanghai Maritime University, Shanghai, China","institution_ids":["https://openalex.org/I96733725"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5033712065"],"corresponding_institution_ids":["https://openalex.org/I96733725"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10810238,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"54","issue":"7","first_page":"2525","last_page":"2543"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9991999864578247,"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":0.9991999864578247,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9957000017166138,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9900000095367432,"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/sufficient-dimension-reduction","display_name":"Sufficient dimension reduction","score":0.7710928916931152},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7340966463088989},{"id":"https://openalex.org/keywords/sliced-inverse-regression","display_name":"Sliced inverse regression","score":0.6473259329795837},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.622306227684021},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5990238785743713},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.560195803642273},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5064955949783325},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.4888297915458679},{"id":"https://openalex.org/keywords/missing-data","display_name":"Missing data","score":0.48101621866226196},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.46458250284194946},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.45101314783096313},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4462175667285919},{"id":"https://openalex.org/keywords/covariate","display_name":"Covariate","score":0.4433043301105499},{"id":"https://openalex.org/keywords/conditional-expectation","display_name":"Conditional expectation","score":0.4103807806968689},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37080347537994385},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.25716251134872437},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.2468850016593933},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.23191648721694946},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14472657442092896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14099976420402527},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08423197269439697}],"concepts":[{"id":"https://openalex.org/C27931671","wikidata":"https://www.wikidata.org/wiki/Q7634497","display_name":"Sufficient dimension reduction","level":3,"score":0.7710928916931152},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7340966463088989},{"id":"https://openalex.org/C41341539","wikidata":"https://www.wikidata.org/wiki/Q7540242","display_name":"Sliced inverse regression","level":3,"score":0.6473259329795837},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.622306227684021},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5990238785743713},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.560195803642273},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5064955949783325},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.4888297915458679},{"id":"https://openalex.org/C9357733","wikidata":"https://www.wikidata.org/wiki/Q6878417","display_name":"Missing data","level":2,"score":0.48101621866226196},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.46458250284194946},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.45101314783096313},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4462175667285919},{"id":"https://openalex.org/C119043178","wikidata":"https://www.wikidata.org/wiki/Q320723","display_name":"Covariate","level":2,"score":0.4433043301105499},{"id":"https://openalex.org/C186215838","wikidata":"https://www.wikidata.org/wiki/Q772232","display_name":"Conditional expectation","level":2,"score":0.4103807806968689},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37080347537994385},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.25716251134872437},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.2468850016593933},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.23191648721694946},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14472657442092896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14099976420402527},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08423197269439697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2023.2242606","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2023.2242606","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1868299363","display_name":null,"funder_award_id":"21BTJ038","funder_id":"https://openalex.org/F4320335869","funder_display_name":"National Social Science Fund of China"}],"funders":[{"id":"https://openalex.org/F4320335869","display_name":"National Social Science Fund of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1977085253","https://openalex.org/W2001255640","https://openalex.org/W2016911959","https://openalex.org/W2023500775","https://openalex.org/W2046833400","https://openalex.org/W2058939725","https://openalex.org/W2061062996","https://openalex.org/W2068752849","https://openalex.org/W2086014844","https://openalex.org/W2095296627","https://openalex.org/W2129159757","https://openalex.org/W2144405862","https://openalex.org/W2159813797","https://openalex.org/W2163490846","https://openalex.org/W2171050905","https://openalex.org/W2221099375","https://openalex.org/W2304776815","https://openalex.org/W2570271027","https://openalex.org/W2606040164","https://openalex.org/W2809237234","https://openalex.org/W2970912230","https://openalex.org/W2982067318","https://openalex.org/W3047550643","https://openalex.org/W3197494818","https://openalex.org/W4210794530","https://openalex.org/W4213170682","https://openalex.org/W4246401320","https://openalex.org/W4302414222"],"related_works":["https://openalex.org/W2811379001","https://openalex.org/W2962918401","https://openalex.org/W2394840907","https://openalex.org/W2026422957","https://openalex.org/W2098495410","https://openalex.org/W3187536619","https://openalex.org/W3030818821","https://openalex.org/W4287773722","https://openalex.org/W2017912417","https://openalex.org/W4311281377"],"abstract_inverted_index":{"AbstractIn":[0],"this":[1,177],"paper,":[2],"we":[3],"focus":[4],"on":[5,33,57],"partial":[6],"dimension":[7,68,117,142,152],"reduction":[8,143,153],"for":[9,100,161],"conditional":[10],"mean":[11,44,82,121,147],"function":[12],"in":[13,66],"the":[14,42,58,78,115,119,139,158,173,184],"presence":[15],"of":[16,80,118,138,172,176,189],"controlling":[17],"variable":[18],"when":[19],"responses":[20],"are":[21,104],"multivariate":[22],"and":[23,87,130],"missing":[24],"at":[25],"random.":[26],"A":[27],"weighted-profile":[28],"least":[29,48],"squares":[30,49],"estimate":[31,41],"based":[32],"inverse":[34],"probability":[35],"weighted":[36],"technique":[37],"is":[38,61,84,111,125],"proposed":[39,91,140],"to":[40,113,168],"central":[43,81,120],"subspace.":[45,122],"The":[46,90],"profile":[47],"method":[50],"does":[51],"not":[52],"need":[53],"any":[54],"distributional":[55],"assumptions":[56],"covariates,":[59],"which":[60,165],"different":[62],"from":[63],"existing":[64],"methods":[65],"sufficient":[67,141],"reduction.":[69],"It":[70],"turns":[71],"out":[72],"that":[73],"under":[74,191],"some":[75],"mild":[76],"conditions,":[77],"estimator":[79],"subspace":[83],"asymptotically":[85],"normal":[86],"root-n":[88],"consistent.":[89],"test":[92],"statistic":[93],"as":[94,96],"well":[95],"its":[97],"asymptotic":[98],"distribution":[99],"parametric":[101],"hypothesis":[102],"tests":[103],"obtained.":[105],"In":[106],"addition,":[107],"a":[108,169],"BIC-type":[109],"criterion":[110],"used":[112],"determine":[114],"structural":[116],"Its":[123],"consistency":[124],"also":[126],"established.":[127],"Both":[128],"simulated":[129],"real":[131],"data":[132],"analysis":[133],"results":[134],"demonstrate":[135],"promising":[136],"performance":[137],"estimation":[144],"method.Keywords:":[145],"Central":[146],"subspaceControlling":[148],"variableMissing":[149],"dataMultivariate":[150],"responseSufficient":[151],"Additional":[154],"informationFundingThe":[155],"authors":[156],"thank":[157],"two":[159],"reviewers":[160],"their":[162],"constructive":[163],"comments,":[164],"have":[166],"led":[167],"dramatic":[170],"improvement":[171],"earlier":[174],"version":[175],"article.":[178],"This":[179],"research":[180],"was":[181],"supported":[182],"by":[183],"National":[185],"Social":[186],"Science":[187],"Fund":[188],"China":[190],"Grant":[192],"No.":[193],"21BTJ038.":[194]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}