{"id":"https://openalex.org/W3123961870","doi":"https://doi.org/10.1080/10618600.1996.10474716","title":"Fast Computation of Auxiliary Quantities in Local Polynomial Regression","display_name":"Fast Computation of Auxiliary Quantities in Local Polynomial Regression","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W3123961870","doi":"https://doi.org/10.1080/10618600.1996.10474716","mag":"3123961870"},"language":"en","primary_location":{"id":"doi:10.1080/10618600.1996.10474716","doi":"https://doi.org/10.1080/10618600.1996.10474716","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10618600.1996.10474716","pdf_url":null,"source":{"id":"https://openalex.org/S76159266","display_name":"Journal of Computational and Graphical Statistics","issn_l":"1061-8600","issn":["1061-8600","1537-2715"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","ki-jl-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Graphical Statistics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2139/ssrn.77675","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081147777","display_name":"Berwin A. Turlach","orcid":"https://orcid.org/0000-0001-8795-471X","observed_orcids":["https://orcid.org/0000-0001-8795-471X"]},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"B. A. Turlach","raw_affiliation_strings":["Centre for Mathematics and its Applications, Australian National University, Canberra, 2601, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Mathematics and its Applications, Australian National University, Canberra, 2601, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050191159","display_name":"MATTHEW P. WAND","orcid":"https://orcid.org/0000-0003-2555-896X","observed_orcids":["https://orcid.org/0000-0003-2555-896X"]},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"M. P. Wand","raw_affiliation_strings":["Australian Graduate School of Management, University of New South Wales, Sydney, 2052, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Australian Graduate School of Management, University of New South Wales, Sydney, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8537,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.89933206,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"5","issue":"4","first_page":"337","last_page":"337"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.4779999852180481,"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":0.4779999852180481,"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/T13141","display_name":"Statistical Methods and Applications","score":0.2572999894618988,"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":0.09570000320672989,"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/loess","display_name":"loess","score":0.8690000176429749},{"id":"https://openalex.org/keywords/data-binning","display_name":"binning","score":0.7609999775886536},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"degrees of freedom","score":0.6880000233650208},{"id":"https://openalex.org/keywords/cross-validation","display_name":"cross-validation","score":0.9409999847412109},{"id":"https://openalex.org/keywords/variance-estimation","display_name":"variance estimation","score":0.9610000252723694},{"id":"https://openalex.org/keywords/error-metrics","display_name":"error metrics","score":0.7239999771118164},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.8040000200271606}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6150476336479187},{"id":"https://openalex.org/C120068334","wikidata":"https://www.wikidata.org/wiki/Q45343","display_name":"Polynomial regression","level":3,"score":0.5966121554374695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5703710317611694},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.47443142533302307},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.46414151787757874},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4632156491279602},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.42719414830207825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3687901198863983},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.35913169384002686},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35371747612953186},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3536459505558014},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10679295659065247}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1080/10618600.1996.10474716","doi":"https://doi.org/10.1080/10618600.1996.10474716","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10618600.1996.10474716","pdf_url":null,"source":{"id":"https://openalex.org/S76159266","display_name":"Journal of Computational and Graphical Statistics","issn_l":"1061-8600","issn":["1061-8600","1537-2715"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","ki-jl-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Graphical Statistics","raw_type":"journal-article"},{"id":"doi:10.2307/1390888","doi":"https://doi.org/10.2307/1390888","is_oa":false,"landing_page_url":"https://doi.org/10.2307/1390888","pdf_url":null,"source":{"id":"https://openalex.org/S76159266","display_name":"Journal of Computational and Graphical Statistics","issn_l":"1061-8600","issn":["1061-8600","1537-2715"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","ki-jl-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Graphical Statistics","raw_type":"journal-article"},{"id":"doi:10.2139/ssrn.77675","doi":"https://doi.org/10.2139/ssrn.77675","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.77675","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.30.9300","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.30.9300","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.agsm.unsw.edu.au/pub/agsm/stats/papers/95-009.ps.gz","raw_type":"text"},{"id":"pmh:oai:opus.lib.uts.edu.au:10453/21950","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10453/21950","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.2139/ssrn.77675","doi":"https://doi.org/10.2139/ssrn.77675","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.77675","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320431","display_name":"Australian National University","ror":"https://ror.org/019wvm592"},{"id":"https://openalex.org/F4320320965","display_name":"University of New South Wales","ror":"https://ror.org/03r8z3t63"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W204885769","https://openalex.org/W1482684333","https://openalex.org/W1978930761","https://openalex.org/W1983993791","https://openalex.org/W1984499217","https://openalex.org/W2031822984","https://openalex.org/W2060471236","https://openalex.org/W2063667201","https://openalex.org/W2071043671","https://openalex.org/W2080894081","https://openalex.org/W2086067392","https://openalex.org/W2118091795","https://openalex.org/W2163288162","https://openalex.org/W2185640251","https://openalex.org/W2337490104","https://openalex.org/W2797583072","https://openalex.org/W2800501357","https://openalex.org/W3125696298","https://openalex.org/W4238306122","https://openalex.org/W4243269039","https://openalex.org/W4301284037"],"related_works":["https://openalex.org/W1451216173","https://openalex.org/W2158118809","https://openalex.org/W1942792625","https://openalex.org/W2787929469","https://openalex.org/W2038810992","https://openalex.org/W4243049313","https://openalex.org/W2132994949","https://openalex.org/W3126467261","https://openalex.org/W2494228525","https://openalex.org/W3155256660"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,39,48],"extension":[3],"of":[4,10,23,33,47,51],"binning":[5],"methodology":[6],"to":[7],"fast":[8],"computation":[9],"several":[11],"auxiliary":[12],"quantities":[13],"that":[14,38,54],"arise":[15],"in":[16],"local":[17,59],"polynomial":[18,60],"smoothing.":[19],"Examples":[20],"include":[21],"degrees":[22],"freedom":[24],"measures,":[25],"cross-validation":[26],"functions,":[27],"variance":[28],"estimates":[29],"and":[30],"exact":[31],"measures":[32],"error.":[34],"It":[35],"is":[36,46],"shown":[37],"computational":[40],"effort":[41],"required":[42,55],"for":[43,56],"such":[44],"approximations":[45],"same":[49],"order":[50],"magnitude":[52],"as":[53],"a":[57],"binned":[58],"smooth.":[61]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-02-01T00:00:00"}