{"id":"https://openalex.org/W4396854847","doi":"https://doi.org/10.3390/axioms13050315","title":"Parameter Estimation in Spatial Autoregressive Models with Missing Data and Measurement Errors","display_name":"Parameter Estimation in Spatial Autoregressive Models with Missing Data and Measurement Errors","publication_year":2024,"publication_date":"2024-05-10","ids":{"openalex":"https://openalex.org/W4396854847","doi":"https://doi.org/10.3390/axioms13050315"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13050315","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13050315","pdf_url":"https://www.mdpi.com/2075-1680/13/5/315/pdf","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/5/315/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007147277","display_name":"T. Li","orcid":"https://orcid.org/0009-0002-0990-2839"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tengjun Li","raw_affiliation_strings":["College of Science, China University of Petroleum, Qingdao 266580, China"],"raw_orcid":"https://orcid.org/0009-0002-0990-2839","affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum, Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031774089","display_name":"Zhikang Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhikang Zhang","raw_affiliation_strings":["College of Science, China University of Petroleum, Qingdao 266580, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum, Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100583281","display_name":"Yunquan Song","orcid":"https://orcid.org/0000-0002-4816-8588"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yunquan Song","raw_affiliation_strings":["College of Science, China University of Petroleum, Qingdao 266580, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum, Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100583281"],"corresponding_institution_ids":["https://openalex.org/I4210162190"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.0483,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.86363298,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"13","issue":"5","first_page":"315","last_page":"315"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11911","display_name":"Spatial and Panel Data Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11911","display_name":"Spatial and Panel Data Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10632","display_name":"Housing Market and Economics","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10841","display_name":"Economic and Environmental Valuation","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/missing-data","display_name":"Missing data","score":0.7573678493499756},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7087374925613403},{"id":"https://openalex.org/keywords/autoregressive-model","display_name":"Autoregressive model","score":0.6602333784103394},{"id":"https://openalex.org/keywords/covariate","display_name":"Covariate","score":0.6465552449226379},{"id":"https://openalex.org/keywords/imputation","display_name":"Imputation (statistics)","score":0.6299411058425903},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6130804419517517},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.5478021502494812},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5056710243225098},{"id":"https://openalex.org/keywords/likelihood-function","display_name":"Likelihood function","score":0.4914621114730835},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4823459982872009},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47034624218940735},{"id":"https://openalex.org/keywords/inverse-probability-weighting","display_name":"Inverse probability weighting","score":0.45610883831977844},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.41971391439437866},{"id":"https://openalex.org/keywords/observational-error","display_name":"Observational error","score":0.4122951328754425},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39855870604515076},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.39313656091690063}],"concepts":[{"id":"https://openalex.org/C9357733","wikidata":"https://www.wikidata.org/wiki/Q6878417","display_name":"Missing data","level":2,"score":0.7573678493499756},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7087374925613403},{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.6602333784103394},{"id":"https://openalex.org/C119043178","wikidata":"https://www.wikidata.org/wiki/Q320723","display_name":"Covariate","level":2,"score":0.6465552449226379},{"id":"https://openalex.org/C58041806","wikidata":"https://www.wikidata.org/wiki/Q1660484","display_name":"Imputation (statistics)","level":3,"score":0.6299411058425903},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6130804419517517},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.5478021502494812},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5056710243225098},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.4914621114730835},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4823459982872009},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47034624218940735},{"id":"https://openalex.org/C2779915747","wikidata":"https://www.wikidata.org/wiki/Q17058619","display_name":"Inverse probability weighting","level":3,"score":0.45610883831977844},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.41971391439437866},{"id":"https://openalex.org/C19619285","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Observational error","level":2,"score":0.4122951328754425},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39855870604515076},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.39313656091690063},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13050315","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13050315","pdf_url":"https://www.mdpi.com/2075-1680/13/5/315/pdf","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:db4b697011bb438693e48df2a26d84b1","is_oa":true,"landing_page_url":"https://doaj.org/article/db4b697011bb438693e48df2a26d84b1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 5, p 315 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13050315","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13050315","pdf_url":"https://www.mdpi.com/2075-1680/13/5/315/pdf","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7799999713897705,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G3602231755","display_name":null,"funder_award_id":"23CX03012A","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7895523656","display_name":null,"funder_award_id":"2021YFA1000102","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396854847.pdf","grobid_xml":"https://content.openalex.org/works/W4396854847.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1495768572","https://openalex.org/W1503316329","https://openalex.org/W1527882638","https://openalex.org/W1973749534","https://openalex.org/W1989765480","https://openalex.org/W1996980905","https://openalex.org/W2029469881","https://openalex.org/W2071673199","https://openalex.org/W2074682976","https://openalex.org/W2075585461","https://openalex.org/W2117420831","https://openalex.org/W2127236490","https://openalex.org/W2141030501","https://openalex.org/W2141340048","https://openalex.org/W2144751663","https://openalex.org/W2146326366","https://openalex.org/W2327004107","https://openalex.org/W2611086616","https://openalex.org/W2799422173","https://openalex.org/W2800815808","https://openalex.org/W2804868497","https://openalex.org/W3046935476","https://openalex.org/W6630119248","https://openalex.org/W6657488136"],"related_works":["https://openalex.org/W2013921918","https://openalex.org/W2258524263","https://openalex.org/W2019724159","https://openalex.org/W2067332379","https://openalex.org/W4280508323","https://openalex.org/W2149766606","https://openalex.org/W2371672232","https://openalex.org/W3151346708","https://openalex.org/W2397376809","https://openalex.org/W2540019423"],"abstract_inverted_index":{"This":[0],"study":[1],"addresses":[2],"the":[3,30,33,56,70,82,95,98,105],"problem":[4],"of":[5,44,81,97],"parameter":[6,84],"estimation":[7,24,85],"in":[8,18,32],"spatial":[9],"autoregressive":[10],"models":[11],"with":[12],"missing":[13,60],"data":[14],"and":[15,49,75],"measurement":[16,39],"errors":[17],"covariates.":[19],"Specifically,":[20],"a":[21,42],"corrected":[22],"likelihood":[23,35],"approach":[25],"is":[26,52,67,87,101],"employed":[27],"to":[28,54],"rectify":[29],"bias":[31,57],"log-maximum":[34],"function":[36],"induced":[37],"by":[38,59],"errors.":[40],"Additionally,":[41],"combination":[43],"inverse":[45],"probability":[46],"weighting":[47],"(IPW)":[48],"mean":[50],"imputation":[51],"utilized":[53],"mitigate":[55],"caused":[58],"data.":[61],"Under":[62],"several":[63],"mild":[64],"conditions,":[65],"it":[66],"demonstrated":[68],"that":[69],"proposed":[71,83,99],"estimators":[72],"are":[73],"consistent":[74],"possess":[76],"oracle":[77],"properties.":[78],"The":[79],"efficacy":[80],"process":[86],"assessed":[88],"through":[89],"Monte":[90],"Carlo":[91],"simulation":[92],"studies.":[93],"Finally,":[94],"applicability":[96],"method":[100],"further":[102],"substantiated":[103],"using":[104],"Boston":[106],"Housing":[107],"Dataset.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}