{"id":"https://openalex.org/W1691800994","doi":"https://doi.org/10.1080/13658816.2015.1068318","title":"Approximation of Gaussian spatial autoregressive models for massive regular square tessellation data","display_name":"Approximation of Gaussian spatial autoregressive models for massive regular square tessellation data","publication_year":2015,"publication_date":"2015-08-03","ids":{"openalex":"https://openalex.org/W1691800994","doi":"https://doi.org/10.1080/13658816.2015.1068318","mag":"1691800994"},"language":"en","primary_location":{"id":"doi:10.1080/13658816.2015.1068318","is_oa":false,"landing_page_url":"https://doi.org/10.1080/13658816.2015.1068318","pdf_url":null,"source":{"id":"https://openalex.org/S4210181446","display_name":"International Journal of Geographical Information Systems","issn_l":"0269-3798","issn":["0269-3798","1362-3087"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Geographical Information Science","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/A5047557932","display_name":"Daniel A. Griffith","orcid":"https://orcid.org/0000-0001-5125-6450"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel A. Griffith","raw_affiliation_strings":["School of Economic, Political, and Policy Sciences, University of Texas at Dallas, Richardson, TX, USA","School of Economic, Political & Policy Sciences, University of Texas at Dallas, Richardson, TX, USA"],"affiliations":[{"raw_affiliation_string":"School of Economic, Political, and Policy Sciences, University of Texas at Dallas, Richardson, TX, USA","institution_ids":["https://openalex.org/I162577319"]},{"raw_affiliation_string":"School of Economic, Political & Policy Sciences, University of Texas at Dallas, Richardson, TX, USA","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047557932"],"corresponding_institution_ids":["https://openalex.org/I162577319"],"apc_list":null,"apc_paid":null,"fwci":8.9928,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.97188005,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"29","issue":"12","first_page":"2143","last_page":"2173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11911","display_name":"Spatial and Panel Data Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9911999702453613,"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"}},{"id":"https://openalex.org/T14051","display_name":"Regional Economic and Spatial Analysis","score":0.9901000261306763,"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/autoregressive-model","display_name":"Autoregressive model","score":0.7858595848083496},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7324223518371582},{"id":"https://openalex.org/keywords/spatial-analysis","display_name":"Spatial analysis","score":0.664540708065033},{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.55887770652771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5568698048591614},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5044122934341431},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46251240372657776},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4542272090911865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4412981867790222},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.41917145252227783},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.367408812046051}],"concepts":[{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.7858595848083496},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7324223518371582},{"id":"https://openalex.org/C159620131","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Spatial analysis","level":2,"score":0.664540708065033},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.55887770652771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5568698048591614},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5044122934341431},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46251240372657776},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4542272090911865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4412981867790222},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.41917145252227783},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.367408812046051},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/13658816.2015.1068318","is_oa":false,"landing_page_url":"https://doi.org/10.1080/13658816.2015.1068318","pdf_url":null,"source":{"id":"https://openalex.org/S4210181446","display_name":"International Journal of Geographical Information Systems","issn_l":"0269-3798","issn":["0269-3798","1362-3087"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Geographical Information Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W18139279","https://openalex.org/W110918106","https://openalex.org/W639827192","https://openalex.org/W1526740462","https://openalex.org/W1529998251","https://openalex.org/W1538746183","https://openalex.org/W1606757096","https://openalex.org/W1923328694","https://openalex.org/W1968099699","https://openalex.org/W1981145803","https://openalex.org/W1985726068","https://openalex.org/W1991085742","https://openalex.org/W1993127001","https://openalex.org/W1994532791","https://openalex.org/W1996598079","https://openalex.org/W2008389020","https://openalex.org/W2041900796","https://openalex.org/W2053506197","https://openalex.org/W2055873999","https://openalex.org/W2083087416","https://openalex.org/W2094153371","https://openalex.org/W2094329897","https://openalex.org/W2099596347","https://openalex.org/W2102802796","https://openalex.org/W2103960257","https://openalex.org/W2107346252","https://openalex.org/W2129097213","https://openalex.org/W2129884243","https://openalex.org/W2144751663","https://openalex.org/W2496675188","https://openalex.org/W2573715514","https://openalex.org/W4230008555","https://openalex.org/W4232640101"],"related_works":["https://openalex.org/W2007405763","https://openalex.org/W1982721348","https://openalex.org/W1493644805","https://openalex.org/W2371489490","https://openalex.org/W2130417215","https://openalex.org/W2047880019","https://openalex.org/W2769759987","https://openalex.org/W122018179","https://openalex.org/W2058740861","https://openalex.org/W2530088135"],"abstract_inverted_index":{"Most":[0],"of":[1,11,35,68,77,99,106,114,134,148],"the":[2,9,33,75,78,104,122,135],"literature":[3,123],"to":[4,8,31,103,121],"date":[5],"proposes":[6],"approximations":[7],"determinant":[10],"a":[12,69,83],"positive":[13],"definite":[14],"n":[15,17,93],"\u00d7":[16],"spatial":[18,26,70,79,84,107],"covariance":[19],"matrix":[20],"(the":[21],"Jacobian":[22,51,64,136],"term)":[23],"for":[24,88,111,138],"Gaussian":[25],"autoregressive":[27,85,108],"models":[28],"that":[29],"fail":[30],"support":[32],"analysis":[34],"massive":[36],"georeferenced":[37,115],"data":[38,116,141],"sets.":[39],"This":[40],"paper":[41,101],"briefly":[42],"surveys":[43],"this":[44,100],"literature,":[45],"recalls":[46],"and":[47,66,73,150],"refines":[48],"much":[49],"simpler":[50],"approximations,":[52,65],"presents":[53],"selected":[54],"eigenvalue":[55],"estimation":[56,67,76,129],"techniques,":[57],"summarizes":[58],"validation":[59],"results":[60],"(for":[61],"estimated":[62],"eigenvalues,":[63],"autocorrelation":[71,80],"parameter),":[72],"illustrates":[74],"parameter":[81],"in":[82],"model":[86,109],"specification":[87],"cases":[89],"as":[90,92],"large":[91],"=":[94],"37,214,101.":[95],"The":[96],"principal":[97],"contribution":[98],"is":[102],"implementation":[105],"specifications":[110],"any":[112],"size":[113],"set.":[117],"Its":[118],"specific":[119],"additions":[120],"include":[124],"(1)":[125],"new,":[126],"more":[127],"efficient":[128],"algorithms;":[130],"(2)":[131],"an":[132],"approximation":[133],"term":[137],"remotely":[139],"sensed":[140],"forming":[142],"incomplete":[143],"rectangular":[144],"regions;":[145],"(3)":[146],"issues":[147],"inference;":[149],"(4)":[151],"timing":[152],"results.":[153]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}