{"id":"https://openalex.org/W2016417356","doi":"https://doi.org/10.1080/00207170600999884","title":"Extended least-correlation estimates for errors-in-variables non-linear models","display_name":"Extended least-correlation estimates for errors-in-variables non-linear models","publication_year":2006,"publication_date":"2006-10-12","ids":{"openalex":"https://openalex.org/W2016417356","doi":"https://doi.org/10.1080/00207170600999884","mag":"2016417356"},"language":"en","primary_location":{"id":"doi:10.1080/00207170600999884","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170600999884","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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":"International Journal of Control","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/A5113574496","display_name":"Byung Eul Jun","orcid":null},"institutions":[{"id":"https://openalex.org/I2801036362","display_name":"Agency for Defense Development","ror":"https://ror.org/05fhe0r85","country_code":"KR","type":"government","lineage":["https://openalex.org/I1327899338","https://openalex.org/I1344042128","https://openalex.org/I2801036362","https://openalex.org/I2801339556"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"B.-E. Jun","raw_affiliation_strings":["Guidance\u2009&\u2009Control Department , Agency for Defense Development , Youseong, Daejeon 305\u2212600, Korea","Guidance & Control Department , Agency for Defense Development , Youseong, Daejeon 305\u2212600, Korea"],"affiliations":[{"raw_affiliation_string":"Guidance\u2009&\u2009Control Department , Agency for Defense Development , Youseong, Daejeon 305\u2212600, Korea","institution_ids":["https://openalex.org/I2801036362"]},{"raw_affiliation_string":"Guidance & Control Department , Agency for Defense Development , Youseong, Daejeon 305\u2212600, Korea","institution_ids":["https://openalex.org/I2801036362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009770702","display_name":"Dennis S. Bernstein","orcid":"https://orcid.org/0000-0003-0399-3039"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. S. Bernstein","raw_affiliation_strings":["Department of Aerospace Engineering , The University of Michigan , Ann Arbor, MI 48109\u22122140, USA","Department of Aerospace Engineering , The University of Michigan , Ann Arbor, MI 48109-2140, USA"],"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering , The University of Michigan , Ann Arbor, MI 48109\u22122140, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Aerospace Engineering , The University of Michigan , Ann Arbor, MI 48109-2140, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113574496"],"corresponding_institution_ids":["https://openalex.org/I2801036362"],"apc_list":null,"apc_paid":null,"fwci":1.80862977,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.85940064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"80","issue":"2","first_page":"256","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9876000285148621,"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/mathematics","display_name":"Mathematics","score":0.6995866298675537},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6640915870666504},{"id":"https://openalex.org/keywords/linear-model","display_name":"Linear model","score":0.6460834741592407},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6176608204841614},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5895825028419495},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.5617992281913757},{"id":"https://openalex.org/keywords/proper-linear-model","display_name":"Proper linear model","score":0.5550190806388855},{"id":"https://openalex.org/keywords/linear-predictor-function","display_name":"Linear predictor function","score":0.5052362084388733},{"id":"https://openalex.org/keywords/polynomial-regression","display_name":"Polynomial regression","score":0.47023457288742065},{"id":"https://openalex.org/keywords/errors-in-variables-models","display_name":"Errors-in-variables models","score":0.44180846214294434},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4267127811908722},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41694965958595276},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.26392775774002075},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2290741205215454},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12363430857658386},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0959668755531311}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6995866298675537},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6640915870666504},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.6460834741592407},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6176608204841614},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5895825028419495},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.5617992281913757},{"id":"https://openalex.org/C32224588","wikidata":"https://www.wikidata.org/wiki/Q7250175","display_name":"Proper linear model","level":4,"score":0.5550190806388855},{"id":"https://openalex.org/C162948026","wikidata":"https://www.wikidata.org/wiki/Q6553486","display_name":"Linear predictor function","level":5,"score":0.5052362084388733},{"id":"https://openalex.org/C120068334","wikidata":"https://www.wikidata.org/wiki/Q45343","display_name":"Polynomial regression","level":3,"score":0.47023457288742065},{"id":"https://openalex.org/C179024874","wikidata":"https://www.wikidata.org/wiki/Q5395728","display_name":"Errors-in-variables models","level":2,"score":0.44180846214294434},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4267127811908722},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41694965958595276},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26392775774002075},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2290741205215454},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12363430857658386},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0959668755531311},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207170600999884","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170600999884","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W178056938","https://openalex.org/W616910851","https://openalex.org/W654294952","https://openalex.org/W1597839575","https://openalex.org/W1602240847","https://openalex.org/W1965324089","https://openalex.org/W2000329349","https://openalex.org/W2005613936","https://openalex.org/W2035750167","https://openalex.org/W2042121317","https://openalex.org/W2050366394","https://openalex.org/W2051738950","https://openalex.org/W2057604812","https://openalex.org/W2059256550","https://openalex.org/W2062519302","https://openalex.org/W2101041341","https://openalex.org/W2119043701","https://openalex.org/W2134637904","https://openalex.org/W2152847093","https://openalex.org/W4235126984","https://openalex.org/W4244046446"],"related_works":["https://openalex.org/W4309298396","https://openalex.org/W4230983264","https://openalex.org/W623416330","https://openalex.org/W4311364185","https://openalex.org/W3093365844","https://openalex.org/W1523442101","https://openalex.org/W3133886840","https://openalex.org/W4214525765","https://openalex.org/W4387804120","https://openalex.org/W4232034943"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,72],"method":[4,66,113],"of":[5,51,67,127],"parameter":[6,46],"estimation":[7],"working":[8],"on":[9],"errors-in-variables":[10,77],"polynomial":[11,36],"non-linear":[12,37,99,137],"models":[13,31,134],"in":[14],"which":[15,32,70],"all":[16],"measurements":[17],"are":[18,33,139],"corrupted":[19],"by":[20,48,59,110],"noise.":[21],"The":[22],"first":[23],"step":[24],"is":[25,42],"to":[26,35,43,54,74,80,116,130],"develop":[27],"the":[28,45,56,65,81,107,111,117,128],"linear":[29,78],"regression":[30,57],"equivalent":[34,82],"systems.":[38],"A":[39],"main":[40],"idea":[41],"extend":[44],"vector":[47,58],"even-order":[49],"components":[50],"noise":[52],"and":[53,87,135],"augment":[55],"appropriate":[60],"constants":[61],"or":[62,103],"measurements.":[63],"Applying":[64],"least":[68],"correlation,":[69],"has":[71],"capability":[73],"cope":[75],"with":[76,84,101],"models,":[79,132],"model":[83],"extended":[85,92],"parameters":[86,108],"augmented":[88],"regressors":[89],"yields":[90],"an":[91],"least-correlation":[93],"estimator.":[94],"Analysis":[95],"shows":[96],"that,":[97],"for":[98],"systems":[100,138],"third":[102],"lower":[104],"order":[105],"polynomials,":[106],"estimated":[109],"proposed":[112],"asymptotically":[114],"converge":[115],"true":[118],"values.":[119],"Numerical":[120],"examples":[121],"also":[122],"support":[123],"analytical":[124],"results.":[125],"Applications":[126],"approach":[129],"Volterra":[131],"Hammerstein":[133],"Weiner":[136],"included.":[140]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}