{"id":"https://openalex.org/W3100723609","doi":"https://doi.org/10.1080/03610918.2020.1833216","title":"Single-index varying-coefficient models with missing covariates at random","display_name":"Single-index varying-coefficient models with missing covariates at random","publication_year":2020,"publication_date":"2020-11-09","ids":{"openalex":"https://openalex.org/W3100723609","doi":"https://doi.org/10.1080/03610918.2020.1833216","mag":"3100723609"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2020.1833216","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2020.1833216","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/A5042579608","display_name":"Yang Zhao","orcid":"https://orcid.org/0009-0002-4334-1107"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Zhao","raw_affiliation_strings":["School of Science, Nanchang University, Nanchang, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Nanchang University, Nanchang, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048977690","display_name":"Liugen Xue","orcid":"https://orcid.org/0000-0001-7625-649X"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liugen Xue","raw_affiliation_strings":["Faculty of Science, Beijing University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100780066","display_name":"Jinghua Zhang","orcid":"https://orcid.org/0000-0002-1720-7994"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinghua Zhang","raw_affiliation_strings":["Faculty of Science, Beijing University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103262352","display_name":"Juanfang Liu","orcid":"https://orcid.org/0000-0001-8382-5005"},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juanfang Liu","raw_affiliation_strings":["College of Mathematics and Information Science, Henan Normal University, Xinxiang, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Henan Normal University, Xinxiang, China","institution_ids":["https://openalex.org/I75955062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048977690"],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15106834,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"51","issue":"12","first_page":"7351","last_page":"7365"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9983999729156494,"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":0.9983999729156494,"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":0.9830999970436096,"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":0.9736999869346619,"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/covariate","display_name":"Covariate","score":0.8344902396202087},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.8040927648544312},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6648805737495422},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6444635391235352},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.6317912936210632},{"id":"https://openalex.org/keywords/missing-data","display_name":"Missing data","score":0.5092021822929382},{"id":"https://openalex.org/keywords/single-index-model","display_name":"Single-index model","score":0.5078926682472229},{"id":"https://openalex.org/keywords/estimating-equations","display_name":"Estimating equations","score":0.5027940273284912},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4705928564071655},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3653162717819214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2298944592475891}],"concepts":[{"id":"https://openalex.org/C119043178","wikidata":"https://www.wikidata.org/wiki/Q320723","display_name":"Covariate","level":2,"score":0.8344902396202087},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.8040927648544312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6648805737495422},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6444635391235352},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.6317912936210632},{"id":"https://openalex.org/C9357733","wikidata":"https://www.wikidata.org/wiki/Q6878417","display_name":"Missing data","level":2,"score":0.5092021822929382},{"id":"https://openalex.org/C174287018","wikidata":"https://www.wikidata.org/wiki/Q1669733","display_name":"Single-index model","level":2,"score":0.5078926682472229},{"id":"https://openalex.org/C204016326","wikidata":"https://www.wikidata.org/wiki/Q5401384","display_name":"Estimating equations","level":3,"score":0.5027940273284912},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4705928564071655},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3653162717819214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2298944592475891},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2020.1833216","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2020.1833216","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/G1841934544","display_name":null,"funder_award_id":"11701156","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3707623983","display_name":null,"funder_award_id":"11971001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8847071121","display_name":null,"funder_award_id":"12061044","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W221376126","https://openalex.org/W1968185435","https://openalex.org/W1969640518","https://openalex.org/W1972532400","https://openalex.org/W1972731147","https://openalex.org/W1978930761","https://openalex.org/W1986238806","https://openalex.org/W2012305308","https://openalex.org/W2016911959","https://openalex.org/W2027846336","https://openalex.org/W2029469881","https://openalex.org/W2034180713","https://openalex.org/W2039811614","https://openalex.org/W2050855885","https://openalex.org/W2074722729","https://openalex.org/W2082950433","https://openalex.org/W2086811231","https://openalex.org/W2222389934","https://openalex.org/W2329341088","https://openalex.org/W2480680997","https://openalex.org/W2605555721","https://openalex.org/W2800633615","https://openalex.org/W4233471163","https://openalex.org/W4244982216"],"related_works":["https://openalex.org/W2112143119","https://openalex.org/W3032945164","https://openalex.org/W2057612738","https://openalex.org/W2068538455","https://openalex.org/W2132044516","https://openalex.org/W2103694411","https://openalex.org/W2016996123","https://openalex.org/W1996384217","https://openalex.org/W2119449891","https://openalex.org/W2807261468"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"consider":[4],"the":[5,10,22,35,55,75],"problem":[6],"of":[7,9],"estimation":[8,77],"single-index":[11],"varying-coefficient":[12],"model":[13],"when":[14],"covariates":[15,40],"are":[16],"not":[17],"fully":[18],"observed.":[19],"By":[20],"using":[21],"bias-correction":[23],"and":[24,43,71,81],"inverse":[25],"selection":[26],"probability":[27],"methods,":[28],"a":[29],"weighted":[30],"estimating":[31],"equations":[32],"estimator":[33,53],"for":[34,54],"index":[36],"parameters":[37],"with":[38],"missing":[39],"is":[41,58,79],"constructed,":[42],"its":[44],"asymptotic":[45],"properties":[46],"has":[47],"been":[48],"established.":[49],"The":[50],"local":[51],"linear":[52],"coefficient":[56],"functions":[57],"proved":[59],"to":[60,83],"converge":[61],"at":[62],"an":[63],"optimal":[64],"rate.":[65],"Numerical":[66],"studies":[67],"based":[68],"on":[69],"simulation":[70],"application":[72],"suggest":[73],"that":[74],"proposed":[76],"procedure":[78],"powerful":[80],"easy":[82],"implement.":[84]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
