{"id":"https://openalex.org/W2005357422","doi":"https://doi.org/10.1214/aos/1176343646","title":"Optimal Designs for Large Degree Polynomial Regression","display_name":"Optimal Designs for Large Degree Polynomial Regression","publication_year":1976,"publication_date":"1976-11-01","ids":{"openalex":"https://openalex.org/W2005357422","doi":"https://doi.org/10.1214/aos/1176343646","mag":"2005357422"},"language":"en","primary_location":{"id":"doi:10.1214/aos/1176343646","doi":"https://doi.org/10.1214/aos/1176343646","is_oa":true,"landing_page_url":"https://doi.org/10.1214/aos/1176343646","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-4/issue-6/Optimal-Designs-for-Large-Degree-Polynomial-Regression/10.1214/aos/1176343646.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","cwts-core","doyens","jufo-3","ki-jl-2","norway-2"],"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-4/issue-6/Optimal-Designs-for-Large-Degree-Polynomial-Regression/10.1214/aos/1176343646.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110860590","display_name":"J. Kiefer","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Kiefer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5050841717","display_name":"W. J. Studden","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"W. J. Studden","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0375,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.9145359,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"4","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9951000213623047,"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":0.9951000213623047,"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":0.001500000013038516,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.0005000000237487257,"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/optimal-experimental-design","display_name":"optimal experimental design","score":0.7329999804496765},{"id":"https://openalex.org/keywords/polynomial-regression","display_name":"polynomial regression","score":0.9959999918937683},{"id":"https://openalex.org/keywords/optimality-criteria","display_name":"optimality criteria","score":0.9309999942779541},{"id":"https://openalex.org/keywords/design-comparison","display_name":"design comparison","score":0.531000018119812}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8839720487594604},{"id":"https://openalex.org/C120068334","wikidata":"https://www.wikidata.org/wiki/Q45343","display_name":"Polynomial regression","level":3,"score":0.7663449048995972},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7180423140525818},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.638127326965332},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5575112700462341},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5320440530776978},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.4905182719230652},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4885450303554535},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.46804070472717285},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.4491623342037201},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.4218665063381195},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36526918411254883},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3589054048061371},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1122656762599945},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1214/aos/1176343646","doi":"https://doi.org/10.1214/aos/1176343646","is_oa":true,"landing_page_url":"https://doi.org/10.1214/aos/1176343646","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-4/issue-6/Optimal-Designs-for-Large-Degree-Polynomial-Regression/10.1214/aos/1176343646.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","cwts-core","doyens","jufo-3","ki-jl-2","norway-2"],"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/1176343646","doi":null,"is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.aos/1176343646","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/1176343646","doi":"https://doi.org/10.1214/aos/1176343646","is_oa":true,"landing_page_url":"https://doi.org/10.1214/aos/1176343646","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-4/issue-6/Optimal-Designs-for-Large-Degree-Polynomial-Regression/10.1214/aos/1176343646.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","cwts-core","doyens","jufo-3","ki-jl-2","norway-2"],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2005357422.pdf","grobid_xml":"https://content.openalex.org/works/W2005357422.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1578421288","https://openalex.org/W2008727735","https://openalex.org/W2017351261","https://openalex.org/W2018639632","https://openalex.org/W2031963886","https://openalex.org/W2045463928","https://openalex.org/W2064868327","https://openalex.org/W2067560285","https://openalex.org/W2089753118","https://openalex.org/W2144578442","https://openalex.org/W2312957755","https://openalex.org/W2393675882","https://openalex.org/W2588992765","https://openalex.org/W3038165843"],"related_works":["https://openalex.org/W2183766609","https://openalex.org/W2381284173","https://openalex.org/W2050071353","https://openalex.org/W2314190111","https://openalex.org/W2534455583","https://openalex.org/W3125294424","https://openalex.org/W2165884543","https://openalex.org/W4226282859","https://openalex.org/W4293054723","https://openalex.org/W1587248775"],"abstract_inverted_index":{"Polynomial":[0],"regression":[1],"of":[2,21,30],"degree":[3],"$n$":[4,25],"on":[5],"an":[6],"interval":[7],"is":[8,26],"considered.":[9],"Optimal":[10],"designs":[11],"$\\xi_n$":[12,22,31],"are":[13,37],"discussed":[14],"for":[15,23],"various":[16],"optimality":[17],"criteria.":[18],"The":[19],"behavior":[20],"large":[24],"investigated":[27],"and":[28],"comparisons":[29],"with":[32],"the":[33],"limiting":[34],"design":[35],"$\\xi_0$":[36],"made.":[38]},"counts_by_year":[{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
