{"id":"https://openalex.org/W3015943550","doi":"https://doi.org/10.1080/03610918.2020.1749662","title":"Two-parameter ridge estimation in seemingly unrelated regression models","display_name":"Two-parameter ridge estimation in seemingly unrelated regression models","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W3015943550","doi":"https://doi.org/10.1080/03610918.2020.1749662","mag":"3015943550"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2020.1749662","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2020.1749662","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/A5031618369","display_name":"Robab Mehdizadeh Esfanjani","orcid":"https://orcid.org/0000-0002-2128-5725"},"institutions":[{"id":"https://openalex.org/I4210147666","display_name":"Islamic Azad University, Ahvaz Branch","ror":"https://ror.org/04vcs0j60","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210147666"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Robab Mehdizadeh Esfanjani","raw_affiliation_strings":["Department of Statistics, Islamic Azad University, Ahvaz, Iran","Department of Statistics, Khouzestan Science and Research Branch, Islamic Azad University, Ahvaz, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Islamic Azad University, Ahvaz, Iran","institution_ids":["https://openalex.org/I4210147666"]},{"raw_affiliation_string":"Department of Statistics, Khouzestan Science and Research Branch, Islamic Azad University, Ahvaz, Iran","institution_ids":["https://openalex.org/I4210147666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091462522","display_name":"Dariush Najarzadeh","orcid":"https://orcid.org/0000-0003-4214-3969"},"institutions":[{"id":"https://openalex.org/I41832843","display_name":"University of Tabriz","ror":"https://ror.org/01papkj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I41832843"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Dariush Najarzadeh","raw_affiliation_strings":["Department of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran","institution_ids":["https://openalex.org/I41832843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053853837","display_name":"Hossein Jabbari Khamnei","orcid":"https://orcid.org/0000-0003-0902-0967"},"institutions":[{"id":"https://openalex.org/I41832843","display_name":"University of Tabriz","ror":"https://ror.org/01papkj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I41832843"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hossein Jabbari Khamnei","raw_affiliation_strings":["Department of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran","institution_ids":["https://openalex.org/I41832843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014618458","display_name":"Farshin Hormozinejad","orcid":null},"institutions":[{"id":"https://openalex.org/I4210147666","display_name":"Islamic Azad University, Ahvaz Branch","ror":"https://ror.org/04vcs0j60","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210147666"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Farshin Hormozinejad","raw_affiliation_strings":["Department of Statistics, Islamic Azad University, Ahvaz, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Islamic Azad University, Ahvaz, Iran","institution_ids":["https://openalex.org/I4210147666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020455134","display_name":"Mahnaz Talebi","orcid":"https://orcid.org/0000-0002-7613-3913"},"institutions":[{"id":"https://openalex.org/I163205636","display_name":"Tabriz University of Medical Sciences","ror":"https://ror.org/04krpx645","country_code":"IR","type":"education","lineage":["https://openalex.org/I163205636"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mahnaz Talebi","raw_affiliation_strings":["Neurosciences Research Center, Tabriz University of Medical Sciences, Tabriz, Iran"],"affiliations":[{"raw_affiliation_string":"Neurosciences Research Center, Tabriz University of Medical Sciences, Tabriz, Iran","institution_ids":["https://openalex.org/I163205636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5091462522"],"corresponding_institution_ids":["https://openalex.org/I41832843"],"apc_list":null,"apc_paid":null,"fwci":0.4319,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.63472542,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"51","issue":"9","first_page":"4904","last_page":"4918"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9998000264167786,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9998000264167786,"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9695000052452087,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multicollinearity","display_name":"Multicollinearity","score":0.9713409543037415},{"id":"https://openalex.org/keywords/ridge","display_name":"Ridge","score":0.8072341680526733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.594031572341919},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.5406763553619385},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5265451073646545},{"id":"https://openalex.org/keywords/ordinary-least-squares","display_name":"Ordinary least squares","score":0.52025306224823},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.5173879861831665},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.48960310220718384},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.48610711097717285},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4628765881061554},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4610767364501953},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4418858587741852},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3864348530769348},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.295352965593338},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15886333584785461}],"concepts":[{"id":"https://openalex.org/C189285262","wikidata":"https://www.wikidata.org/wiki/Q1332350","display_name":"Multicollinearity","level":3,"score":0.9713409543037415},{"id":"https://openalex.org/C32277403","wikidata":"https://www.wikidata.org/wiki/Q740445","display_name":"Ridge","level":2,"score":0.8072341680526733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.594031572341919},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.5406763553619385},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5265451073646545},{"id":"https://openalex.org/C99656134","wikidata":"https://www.wikidata.org/wiki/Q2912993","display_name":"Ordinary least squares","level":2,"score":0.52025306224823},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.5173879861831665},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.48960310220718384},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.48610711097717285},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4628765881061554},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4610767364501953},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4418858587741852},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3864348530769348},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.295352965593338},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15886333584785461},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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:10.1080/03610918.2020.1749662","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2020.1749662","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W318898150","https://openalex.org/W1535961197","https://openalex.org/W1974415808","https://openalex.org/W1984853109","https://openalex.org/W1991900068","https://openalex.org/W2004441324","https://openalex.org/W2010781228","https://openalex.org/W2020984291","https://openalex.org/W2034953641","https://openalex.org/W2037245378","https://openalex.org/W2046824232","https://openalex.org/W2066796151","https://openalex.org/W2070933059","https://openalex.org/W2071460053","https://openalex.org/W2077114657","https://openalex.org/W2084467852","https://openalex.org/W2094514178","https://openalex.org/W2106342186","https://openalex.org/W2148728440","https://openalex.org/W2148849468","https://openalex.org/W2314246804","https://openalex.org/W2316600453","https://openalex.org/W2517829148","https://openalex.org/W4234173777","https://openalex.org/W4234698323"],"related_works":["https://openalex.org/W2471894666","https://openalex.org/W2002358553","https://openalex.org/W2334739209","https://openalex.org/W1999916546","https://openalex.org/W288566741","https://openalex.org/W2290706096","https://openalex.org/W2717946597","https://openalex.org/W3173001634","https://openalex.org/W3012357114","https://openalex.org/W2017000144"],"abstract_inverted_index":{"Seemingly":[0],"unrelated":[1],"regression":[2,10],"(SUR)":[3],"models":[4,51],"were":[5,12,64],"applied":[6,86],"when":[7],"several":[8],"linear":[9],"equations":[11],"investigated":[13],"at":[14],"the":[15,20,24,27,43,47,55,68,72,82],"same":[16],"time.":[17],"To":[18],"reduce":[19],"multicollinearity":[21,53],"influence":[22],"in":[23,46],"SUR":[25,50],"models,":[26],"one-parameter":[28],"ridge":[29,57],"(Ridge-1)":[30],"solution":[31,59,70,84],"was":[32,60,85],"proposed":[33,69,83],"and":[34,78],"discussed":[35],"by":[36],"some":[37],"researchers.":[38],"As":[39],"a":[40],"generalization":[41],"of":[42,49],"Ridge-1":[44,79],"solution,":[45],"context":[48],"having":[52],"problem,":[54],"two-parameter":[56],"(Ridge-2)":[58],"presented.":[61],"Some":[62],"simulations":[63],"performed":[65],"to":[66],"compare":[67],"with":[71],"ordinary":[73],"generalized":[74],"least":[75],"squares":[76],"(GLS)":[77],"solutions.":[80],"Lastly,":[81],"on":[87],"chronic":[88],"renal":[89],"failure":[90],"effect":[91],"data.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}