{"id":"https://openalex.org/W4308875481","doi":"https://doi.org/10.3390/stats5040065","title":"Selected Payback Statistical Contributions to Matrix/Linear Algebra: Some Counterflowing Conceptualizations","display_name":"Selected Payback Statistical Contributions to Matrix/Linear Algebra: Some Counterflowing Conceptualizations","publication_year":2022,"publication_date":"2022-11-09","ids":{"openalex":"https://openalex.org/W4308875481","doi":"https://doi.org/10.3390/stats5040065"},"language":"en","primary_location":{"id":"doi:10.3390/stats5040065","doi":"https://doi.org/10.3390/stats5040065","is_oa":true,"landing_page_url":"https://doi.org/10.3390/stats5040065","pdf_url":"https://www.mdpi.com/2571-905X/5/4/65/pdf?version=1668059342","source":{"id":"https://openalex.org/S4210232718","display_name":"Stats","issn_l":"2571-905X","issn":["2571-905X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-4","vabb-shw"],"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":"Stats","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2571-905X/5/4/65/pdf?version=1668059342","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047557932","display_name":"Daniel A. Griffith","orcid":"https://orcid.org/0000-0001-5125-6450","observed_orcids":["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 75080, USA"],"raw_orcid":"https://orcid.org/0000-0001-5125-6450","affiliations":[{"raw_affiliation_string":"School of Economic, Political, and Policy Sciences, University of Texas at Dallas, Richardson, TX 75080, 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":{"value":1200,"currency":"CHF","value_usd":1256},"apc_paid":{"value":1200,"currency":"CHF","value_usd":1256},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12373001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"4","first_page":"1097","last_page":"1112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.70169997215271,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.70169997215271,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13141","display_name":"Statistical Methods and Applications","score":0.2563000023365021,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.025200000032782555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"matrix algebra","score":0.8849999904632568},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"linear algebra","score":0.7770000100135803},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"regression analysis","score":0.6869999766349792},{"id":"https://openalex.org/keywords/eigenfunctions","display_name":"eigenfunctions","score":0.7960000038146973},{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.7979999780654907},{"id":"https://openalex.org/keywords/kronecker-sum","display_name":"Kronecker sum","score":0.9629999995231628},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"multivariable calculus","score":0.9409999847412109},{"id":"https://openalex.org/keywords/jacobian-matrix","display_name":"Jacobian matrix","score":0.9039999842643738},{"id":"https://openalex.org/keywords/variable-transformation","display_name":"change of variables","score":0.7860000133514404},{"id":"https://openalex.org/keywords/random-matrices","display_name":"random matrices","score":0.9049999713897705}],"concepts":[{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.7121133208274841},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6442440748214722},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5685468316078186},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5574312806129456},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.5163742303848267},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.48733243346214294},{"id":"https://openalex.org/C163834973","wikidata":"https://www.wikidata.org/wiki/Q2004891","display_name":"Numerical linear algebra","level":3,"score":0.4494098722934723},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.446529358625412},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4126720726490021},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38468143343925476},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.36622798442840576},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2203981578350067},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2163371741771698},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.19797587394714355},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/stats5040065","doi":"https://doi.org/10.3390/stats5040065","is_oa":true,"landing_page_url":"https://doi.org/10.3390/stats5040065","pdf_url":"https://www.mdpi.com/2571-905X/5/4/65/pdf?version=1668059342","source":{"id":"https://openalex.org/S4210232718","display_name":"Stats","issn_l":"2571-905X","issn":["2571-905X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-4","vabb-shw"],"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":"Stats","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:gam:jstats:v:5:y:2022:i:4:p:65-1112:d:967548","doi":null,"is_oa":false,"landing_page_url":"https://www.mdpi.com/2571-905X/5/4/65/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:c02991afaf5f4894875d9b4cc3828ed7","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/c02991afaf5f4894875d9b4cc3828ed7","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,"listed_in":[],"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":"Stats, Vol 5, Iss 4, Pp 1097-1112 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/stats5040065","doi":"https://doi.org/10.3390/stats5040065","is_oa":true,"landing_page_url":"https://doi.org/10.3390/stats5040065","pdf_url":"https://www.mdpi.com/2571-905X/5/4/65/pdf?version=1668059342","source":{"id":"https://openalex.org/S4210232718","display_name":"Stats","issn_l":"2571-905X","issn":["2571-905X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-4","vabb-shw"],"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":"Stats","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4308875481.pdf","grobid_xml":"https://content.openalex.org/works/W4308875481.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W610284107","https://openalex.org/W623233975","https://openalex.org/W643606810","https://openalex.org/W1691800994","https://openalex.org/W1964867919","https://openalex.org/W1970574674","https://openalex.org/W1973335304","https://openalex.org/W2039748980","https://openalex.org/W2039876715","https://openalex.org/W2041900796","https://openalex.org/W2043694962","https://openalex.org/W2060091647","https://openalex.org/W2065769502","https://openalex.org/W2076977679","https://openalex.org/W2084472453","https://openalex.org/W2086266303","https://openalex.org/W2118049491","https://openalex.org/W2121763453","https://openalex.org/W2151823051","https://openalex.org/W2155239356","https://openalex.org/W2167083368","https://openalex.org/W2270168262","https://openalex.org/W2285794468","https://openalex.org/W2346961086","https://openalex.org/W2421281141","https://openalex.org/W2487964192","https://openalex.org/W2595048027","https://openalex.org/W2770380588","https://openalex.org/W2890823802","https://openalex.org/W2893819804","https://openalex.org/W2954307287","https://openalex.org/W2954565245","https://openalex.org/W3008451876","https://openalex.org/W3038121480","https://openalex.org/W3119535756","https://openalex.org/W3164017994","https://openalex.org/W3195924738","https://openalex.org/W4206103160","https://openalex.org/W4213063844","https://openalex.org/W4231868828","https://openalex.org/W4234426851","https://openalex.org/W4255288880","https://openalex.org/W4285718392","https://openalex.org/W4289711656","https://openalex.org/W4300029251","https://openalex.org/W4388257434","https://openalex.org/W4388319774","https://openalex.org/W6765309480"],"related_works":["https://openalex.org/W4300029251","https://openalex.org/W2798172935","https://openalex.org/W4234136333","https://openalex.org/W2275096912","https://openalex.org/W2504351407","https://openalex.org/W1982103484","https://openalex.org/W88506400","https://openalex.org/W1998649027","https://openalex.org/W1584023832","https://openalex.org/W4249547776"],"abstract_inverted_index":{"Matrix/linear":[0],"algebra":[1,56,73],"continues":[2],"bestowing":[3],"benefits":[4],"on":[5],"theoretical":[6],"and":[7,48,63,130,154],"applied":[8],"statistics,":[9,101],"a":[10,23,27,34,85],"practice":[11],"it":[12],"began":[13],"decades":[14],"ago":[15],"(re":[16],"Fisher":[17],"used":[18],"the":[19,89,98,114,145,155,165,175,192],"word":[20],"matrix":[21,37,44,55,116,124],"in":[22],"1941":[24],"publication),":[25],"through":[26],"myriad":[28],"of":[29,33,36,46,54,59,91,100,167,180,184,197],"contributions,":[30],"from":[31,71],"recognition":[32],"suite":[35],"properties":[38],"relevant":[39],"to":[40,43,74,191],"statistical":[41],"concepts,":[42],"specifications":[45],"linear":[47,198],"nonlinear":[49],"techniques.":[50],"Consequently,":[51],"focused":[52],"parts":[53],"are":[57,174],"topics":[58],"several":[60],"statistics":[61,77,181],"books":[62],"journal":[64],"articles.":[65],"Contributions":[66],"mostly":[67],"have":[68],"been":[69],"unidirectional,":[70],"matrix/linear":[72],"statistics.":[75],"Nevertheless,":[76],"offers":[78],"great":[79],"potential":[80],"for":[81,105,170],"making":[82],"this":[83,92,158],"interface":[84],"bidirectional":[86],"exchange":[87],"point,":[88],"theme":[90],"review":[93],"paper.":[94],"Not":[95],"surprisingly,":[96],"regression,":[97],"workhorse":[99],"provides":[102],"one":[103,112],"tool":[104],"such":[106,126],"historically":[107],"based":[108],"recompence.":[109],"Another":[110],"prominent":[111],"is":[113,122,134,161],"mathematical":[115],"theory":[117],"eigenfunction":[118],"abstraction.":[119],"A":[120,132,152],"third":[121],"special":[123],"operations,":[125],"as":[127,142,144],"Kronecker":[128],"sums":[129],"products.":[131],"fourth":[133],"multivariable":[135],"calculus":[136],"linkages,":[137],"especially":[138],"arcane":[139],"matrix/vector":[140],"operators":[141],"well":[143],"Jacobian":[146],"term":[147],"associated":[148],"with":[149],"variable":[150],"transformations.":[151],"fifth,":[153],"final":[156],"idea":[157],"paper":[159],"treats,":[160],"random":[162],"matrices/vectors":[163],"within":[164],"context":[166],"simulation,":[168],"particularly":[169],"correlated":[171],"data.":[172],"These":[173],"five":[176],"prospectively":[177],"reviewed":[178],"discipline":[179],"subjects":[182],"capable":[183],"informing,":[185],"inspiring,":[186],"or":[187],"otherwise":[188],"furnishing":[189],"insight":[190],"far":[193],"more":[194],"general":[195],"world":[196],"algebra.":[199]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-11-18T00:00:00"}
