{"id":"https://openalex.org/W2048163400","doi":"https://doi.org/10.1155/2011/485974","title":"Some Asymptotic Theory for Functional Regression and Classification","display_name":"Some Asymptotic Theory for Functional Regression and Classification","publication_year":2011,"publication_date":"2011-01-19","ids":{"openalex":"https://openalex.org/W2048163400","doi":"https://doi.org/10.1155/2011/485974","mag":"2048163400"},"language":"en","primary_location":{"id":"doi:10.1155/2011/485974","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/485974","pdf_url":"https://downloads.hindawi.com/archive/2011/485974.pdf","source":{"id":"https://openalex.org/S104792724","display_name":"Advances in Decision Sciences","issn_l":"2090-3359","issn":["2090-3359","2090-3367"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Decision Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/archive/2011/485974.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111370063","display_name":"F.H. Ruymgaart","orcid":null},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frits Ruymgaart","raw_affiliation_strings":["Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, USA","Department of Mathematics and Statistics , Texas Tech University , Lubbock, TX, 79409, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , Texas Tech University , Lubbock, TX, 79409, USA","institution_ids":["https://openalex.org/I12315562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038882255","display_name":"Jing Wang","orcid":"https://orcid.org/0000-0001-6072-5503"},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jing Wang","raw_affiliation_strings":["Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, USA","Department of Mathematics and Statistics , Texas Tech University , Lubbock, TX, 79409, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , Texas Tech University , Lubbock, TX, 79409, USA","institution_ids":["https://openalex.org/I12315562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070513075","display_name":"Shih\u2010Hsuan Wei","orcid":null},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shih-Hsuan Wei","raw_affiliation_strings":["Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, USA","Department of Mathematics and Statistics , Texas Tech University , Lubbock, TX, 79409, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , Texas Tech University , Lubbock, TX, 79409, USA","institution_ids":["https://openalex.org/I12315562"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100345908","display_name":"Yu Li","orcid":"https://orcid.org/0000-0003-1430-7989"},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Li Yu","raw_affiliation_strings":["Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, USA","Department of Mathematics and Statistics , Texas Tech University , Lubbock, TX, 79409, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , Texas Tech University , Lubbock, TX, 79409, USA","institution_ids":["https://openalex.org/I12315562"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I12315562"],"apc_list":{"value":200,"currency":"USD","value_usd":200},"apc_paid":{"value":200,"currency":"USD","value_usd":200},"fwci":0.5475,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69929253,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2011","issue":null,"first_page":"1","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.991100013256073,"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":0.991100013256073,"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":0.9696999788284302,"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"}},{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9459999799728394,"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/estimator","display_name":"Estimator","score":0.6457885503768921},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6302003264427185},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6285078525543213},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.5932323932647705},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5797422528266907},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5347171425819397},{"id":"https://openalex.org/keywords/asymptotic-distribution","display_name":"Asymptotic distribution","score":0.5281931161880493},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.5252161622047424},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.4795346260070801},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.4605286717414856},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"Asymptotic expansion","score":0.4319077730178833},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3337710201740265},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29561325907707214},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1386784017086029}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6457885503768921},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6302003264427185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6285078525543213},{"id":"https://openalex.org/C119047807","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.5932323932647705},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5797422528266907},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5347171425819397},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.5281931161880493},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.5252161622047424},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.4795346260070801},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.4605286717414856},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.4319077730178833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3337710201740265},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29561325907707214},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1386784017086029},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2011/485974","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/485974","pdf_url":"https://downloads.hindawi.com/archive/2011/485974.pdf","source":{"id":"https://openalex.org/S104792724","display_name":"Advances in Decision Sciences","issn_l":"2090-3359","issn":["2090-3359","2090-3367"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Decision Sciences","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.210.9311","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.210.9311","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ttu.edu/%7Efruymgaa/gat_for_functional_regression_and_classification.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:2303173106fb4f828639247c430cc6cf","is_oa":true,"landing_page_url":"https://doaj.org/article/2303173106fb4f828639247c430cc6cf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Decision Sciences, Vol 2011 (2011)","raw_type":"article"},{"id":"pmh:oai:ttu-ir.tdl.org:2346/95727","is_oa":true,"landing_page_url":"https://hdl.handle.net/2346/95727","pdf_url":null,"source":{"id":"https://openalex.org/S4306402519","display_name":"ThinkTech (Texas Tech University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I12315562","host_organization_name":"Texas Tech University","host_organization_lineage":["https://openalex.org/I12315562"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1155/2011/485974","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/485974","pdf_url":"https://downloads.hindawi.com/archive/2011/485974.pdf","source":{"id":"https://openalex.org/S104792724","display_name":"Advances in Decision Sciences","issn_l":"2090-3359","issn":["2090-3359","2090-3367"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Decision Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W12016890","https://openalex.org/W77473095","https://openalex.org/W433255566","https://openalex.org/W563799425","https://openalex.org/W626794699","https://openalex.org/W1480376833","https://openalex.org/W1575147392","https://openalex.org/W1601511468","https://openalex.org/W1978002454","https://openalex.org/W1983960282","https://openalex.org/W1995775640","https://openalex.org/W2003107460","https://openalex.org/W2009416915","https://openalex.org/W2011931375","https://openalex.org/W2040025630","https://openalex.org/W2047498614","https://openalex.org/W2050286104","https://openalex.org/W2063023966","https://openalex.org/W2066569182","https://openalex.org/W2089322632","https://openalex.org/W2093007442","https://openalex.org/W2120081959","https://openalex.org/W2128705329","https://openalex.org/W2153675946","https://openalex.org/W2335062971","https://openalex.org/W2403035479","https://openalex.org/W2798324638","https://openalex.org/W2798510847","https://openalex.org/W3048078645","https://openalex.org/W3101449523","https://openalex.org/W3102135425","https://openalex.org/W3137136951","https://openalex.org/W3186605155","https://openalex.org/W4240782261","https://openalex.org/W4242775532"],"related_works":["https://openalex.org/W1491114765","https://openalex.org/W3123593911","https://openalex.org/W1606335093","https://openalex.org/W2131095263","https://openalex.org/W2944293244","https://openalex.org/W2021866332","https://openalex.org/W2037214953","https://openalex.org/W3125855424","https://openalex.org/W3121988082","https://openalex.org/W4248126265"],"abstract_inverted_index":{"Exploiting":[0],"an":[1,12],"expansion":[2,35],"for":[3,44],"analytic":[4],"functions":[5],"of":[6,11,14,48],"operators,":[7],"the":[8,15,26,45],"asymptotic":[9,46],"distribution":[10],"estimator":[13],"functional":[16,50],"regression":[17],"parameter":[18],"is":[19,28,36],"obtained":[20],"in":[21],"a":[22,41,49],"rather":[23],"simple":[24],"way;":[25],"result":[27],"applied":[29],"to":[30,39],"testing":[31],"linear":[32],"hypotheses.":[33],"The":[34],"also":[37],"used":[38],"obtain":[40],"quick":[42],"proof":[43],"optimality":[47],"classification":[51],"rule,":[52],"given":[53],"Gaussian":[54],"populations.":[55]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
