{"id":"https://openalex.org/W3111323542","doi":"https://doi.org/10.1080/03610918.2020.1851712","title":"Sterling interpolation method for precision estimation of total least squares","display_name":"Sterling interpolation method for precision estimation of total least squares","publication_year":2020,"publication_date":"2020-12-07","ids":{"openalex":"https://openalex.org/W3111323542","doi":"https://doi.org/10.1080/03610918.2020.1851712","mag":"3111323542"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2020.1851712","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2020.1851712","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/A5005395267","display_name":"Leyang Wang","orcid":"https://orcid.org/0000-0001-7919-2030"},"institutions":[{"id":"https://openalex.org/I4210119674","display_name":"East China University of Technology","ror":"https://ror.org/027385r44","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Leyang Wang","raw_affiliation_strings":["Faculty of Geomatics, East China University of Technology, Nanchang, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Geomatics, East China University of Technology, Nanchang, China","institution_ids":["https://openalex.org/I4210119674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077147986","display_name":"Yingwen Zhao","orcid":"https://orcid.org/0009-0001-5013-0140"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4210119674","display_name":"East China University of Technology","ror":"https://ror.org/027385r44","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingwen Zhao","raw_affiliation_strings":["Faculty of Geomatics, East China University of Technology, Nanchang, China","School of Geodesy and Geomatics, Wuhan University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Geomatics, East China University of Technology, Nanchang, China","institution_ids":["https://openalex.org/I4210119674"]},{"raw_affiliation_string":"School of Geodesy and Geomatics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031059912","display_name":"Chuanyi Zou","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4210119674","display_name":"East China University of Technology","ror":"https://ror.org/027385r44","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuanyi Zou","raw_affiliation_strings":["Faculty of Geomatics, East China University of Technology, Nanchang, China","School of Geodesy and Geomatics, Wuhan University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Geomatics, East China University of Technology, Nanchang, China","institution_ids":["https://openalex.org/I4210119674"]},{"raw_affiliation_string":"School of Geodesy and Geomatics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034694374","display_name":"Fengbin Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119674","display_name":"East China University of Technology","ror":"https://ror.org/027385r44","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengbin Yu","raw_affiliation_strings":["Faculty of Geomatics, East China University of Technology, Nanchang, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Geomatics, East China University of Technology, Nanchang, China","institution_ids":["https://openalex.org/I4210119674"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005395267"],"corresponding_institution_ids":["https://openalex.org/I4210119674"],"apc_list":null,"apc_paid":null,"fwci":0.5831,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.653004,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"52","issue":"1","first_page":"142","last_page":"160"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9830999970436096,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9677000045776367,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.686434268951416},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5632545351982117},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5357861518859863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5336917638778687},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5098749399185181},{"id":"https://openalex.org/keywords/non-linear-least-squares","display_name":"Non-linear least squares","score":0.4560655355453491},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.425589382648468},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.4186549186706543},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.3653929829597473},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36160579323768616},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3549742102622986},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35284480452537537},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22840046882629395}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.686434268951416},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5632545351982117},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5357861518859863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5336917638778687},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5098749399185181},{"id":"https://openalex.org/C45923927","wikidata":"https://www.wikidata.org/wiki/Q3319230","display_name":"Non-linear least squares","level":3,"score":0.4560655355453491},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.425589382648468},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.4186549186706543},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.3653929829597473},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36160579323768616},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3549742102622986},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35284480452537537},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22840046882629395},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2020.1851712","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2020.1851712","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":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W199310666","https://openalex.org/W205772137","https://openalex.org/W1520710862","https://openalex.org/W1966908428","https://openalex.org/W1971585425","https://openalex.org/W1978968684","https://openalex.org/W1986390190","https://openalex.org/W1987564911","https://openalex.org/W1998654301","https://openalex.org/W2008229822","https://openalex.org/W2032082196","https://openalex.org/W2034005478","https://openalex.org/W2046915036","https://openalex.org/W2056681784","https://openalex.org/W2056811831","https://openalex.org/W2067605836","https://openalex.org/W2068484625","https://openalex.org/W2071327759","https://openalex.org/W2076186907","https://openalex.org/W2076301593","https://openalex.org/W2084423326","https://openalex.org/W2096442085","https://openalex.org/W2099371695","https://openalex.org/W2105292630","https://openalex.org/W2138812076","https://openalex.org/W2226536145","https://openalex.org/W2257663411","https://openalex.org/W2294798173","https://openalex.org/W2316447534","https://openalex.org/W2578343054","https://openalex.org/W2770509271","https://openalex.org/W2797592438","https://openalex.org/W2801119182","https://openalex.org/W2903571355","https://openalex.org/W2936280405","https://openalex.org/W2950109790","https://openalex.org/W2950416348","https://openalex.org/W2992573501","https://openalex.org/W3037708440","https://openalex.org/W3045698055","https://openalex.org/W3201423827","https://openalex.org/W4206428854"],"related_works":["https://openalex.org/W2026673180","https://openalex.org/W1959514624","https://openalex.org/W200101083","https://openalex.org/W2939592218","https://openalex.org/W2359835307","https://openalex.org/W327962130","https://openalex.org/W4380487384","https://openalex.org/W1997338499","https://openalex.org/W4378552425","https://openalex.org/W2589353378"],"abstract_inverted_index":{"The":[0,69,79,110,155,195],"randomness":[1],"of":[2,5,19,43,92,97,143,192,197,212],"the":[3,34,38,46,57,60,86,98,130,133,139,144,149,163,173,183,193,198,207],"biases":[4,96],"parameter":[6,20,100],"estimates,":[7],"residuals":[8],"and":[9,67,73,89,102,125,141,166,206],"some":[10,186],"variables":[11],"is":[12,65,83,112,168,201,214],"seldom":[13],"considered":[14],"for":[15,56,94,209],"calculating":[16,95],"covariance":[17],"matrix":[18,107,187],"estimates":[21,101],"in":[22,45,148,176],"total":[23],"least":[24],"squares":[25],"(TLS)":[26],"iterative":[27,81],"algorithm.":[28],"There":[29],"are":[30,77,108,153,189],"few":[31],"studies":[32],"on":[33],"precision":[35,54,151,199,210],"estimation":[36,152,200,211],"with":[37,85,132],"approximate":[39,103],"probability":[40],"distribution":[41],"method":[42,64,111,147,158],"function":[44,127],"TLS.":[47],"In":[48],"order":[49],"to":[50,114,170,182],"get":[51],"more":[52],"reasonable":[53],"information":[55],"TLS":[58,75,80,99,150,213],"adjustment,":[59],"derivative-free":[61],"Sterling":[62,87,145,156],"interpolation":[63,146,157],"introduced":[66],"implemented.":[68],"errors-in-variables":[70],"(EIV)":[71],"model":[72,124],"its":[74],"algorithm":[76,82],"introduced.":[78],"combined":[84],"interpolation,":[88],"two":[90,175],"kinds":[91],"schemes":[93],"mean":[104],"squared":[105],"error":[106],"designed.":[109],"used":[113],"four":[115],"examples:":[116],"line":[117],"fitting":[118],"model,":[119,122],"coordinate":[120],"transformation":[121,136],"auto-regression":[123],"variation":[126],"model.":[128],"Comparing":[129],"results":[131],"scaled":[134],"unscented":[135],"(SUT)":[137],"method,":[138,165,205],"feasibility":[140],"effectiveness":[142],"verified.":[154],"has":[159],"fewer":[160],"parameters":[161],"than":[162],"SUT":[164],"it":[167],"simpler":[169],"implement.":[171],"And":[172],"scheme":[174],"this":[177,204],"paper":[178],"can":[179],"be":[180],"applied":[181],"case":[184],"where":[185],"elements":[188],"nonlinear":[190],"functions":[191],"observation.":[194],"application":[196],"expanded":[202],"by":[203],"theory":[208],"further":[215],"improved.":[216]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}