{"id":"https://openalex.org/W2115581336","doi":"https://doi.org/10.1080/03610910802446993","title":"Rank-Based Classification Using Robust Discriminant Functions","display_name":"Rank-Based Classification Using Robust Discriminant Functions","publication_year":2008,"publication_date":"2008-11-26","ids":{"openalex":"https://openalex.org/W2115581336","doi":"https://doi.org/10.1080/03610910802446993","mag":"2115581336"},"language":"en","primary_location":{"id":"doi:10.1080/03610910802446993","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910802446993","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/A5045197228","display_name":"Asheber Abebe","orcid":"https://orcid.org/0000-0001-5759-2383"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Asheber Abebe","raw_affiliation_strings":["Department of Mathematics and Statistics , Auburn University , Alabama, USA","Department of Mathematics & Statistics, Auburn University, Alabama, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , Auburn University , Alabama, USA","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, Auburn University, Alabama, USA","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049621478","display_name":"Sai Nudurupati","orcid":"https://orcid.org/0000-0001-8828-6821"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sai V. Nudurupati","raw_affiliation_strings":["Department of Mathematics and Statistics , Auburn University , Alabama, USA","Department of Mathematics & Statistics, Auburn University, Alabama, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , Auburn University , Alabama, USA","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, Auburn University, Alabama, USA","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045197228"],"corresponding_institution_ids":["https://openalex.org/I82497590"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15230558,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"38","issue":"2","first_page":"199","last_page":"214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9994999766349792,"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":0.9994999766349792,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9890999794006348,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9800999760627747,"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/discriminant","display_name":"Discriminant","score":0.8093107342720032},{"id":"https://openalex.org/keywords/linear-discriminant-analysis","display_name":"Linear discriminant analysis","score":0.777053952217102},{"id":"https://openalex.org/keywords/discriminant-function-analysis","display_name":"Discriminant function analysis","score":0.658236026763916},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6562343835830688},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6396153569221497},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6163297891616821},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5855779647827148},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5736373662948608},{"id":"https://openalex.org/keywords/quadratic-classifier","display_name":"Quadratic classifier","score":0.5689133405685425},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5603863596916199},{"id":"https://openalex.org/keywords/optimal-discriminant-analysis","display_name":"Optimal discriminant analysis","score":0.4977462589740753},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4743177592754364},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4633415639400482},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.4382880926132202},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.432259738445282},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42644569277763367},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3232094645500183},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2974205017089844},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1709960401058197}],"concepts":[{"id":"https://openalex.org/C78397625","wikidata":"https://www.wikidata.org/wiki/Q192487","display_name":"Discriminant","level":2,"score":0.8093107342720032},{"id":"https://openalex.org/C69738355","wikidata":"https://www.wikidata.org/wiki/Q1228929","display_name":"Linear discriminant analysis","level":2,"score":0.777053952217102},{"id":"https://openalex.org/C41771347","wikidata":"https://www.wikidata.org/wiki/Q1228929","display_name":"Discriminant function analysis","level":2,"score":0.658236026763916},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6562343835830688},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6396153569221497},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6163297891616821},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5855779647827148},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5736373662948608},{"id":"https://openalex.org/C52620605","wikidata":"https://www.wikidata.org/wiki/Q7268357","display_name":"Quadratic classifier","level":3,"score":0.5689133405685425},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5603863596916199},{"id":"https://openalex.org/C104500394","wikidata":"https://www.wikidata.org/wiki/Q17104912","display_name":"Optimal discriminant analysis","level":3,"score":0.4977462589740753},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4743177592754364},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4633415639400482},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.4382880926132202},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.432259738445282},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42644569277763367},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3232094645500183},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2974205017089844},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1709960401058197},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610910802446993","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910802446993","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6899999976158142}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W57867845","https://openalex.org/W188243774","https://openalex.org/W278905432","https://openalex.org/W1966701961","https://openalex.org/W1969463951","https://openalex.org/W1973082780","https://openalex.org/W1980262437","https://openalex.org/W1982621492","https://openalex.org/W1983542467","https://openalex.org/W1983772874","https://openalex.org/W1986061158","https://openalex.org/W1993292364","https://openalex.org/W1999867028","https://openalex.org/W2001619934","https://openalex.org/W2008418230","https://openalex.org/W2014181044","https://openalex.org/W2016440615","https://openalex.org/W2040324983","https://openalex.org/W2058193099","https://openalex.org/W2058989825","https://openalex.org/W2063764530","https://openalex.org/W2065115884","https://openalex.org/W2087684630","https://openalex.org/W2109363337","https://openalex.org/W2131070718","https://openalex.org/W2133199783","https://openalex.org/W2139915310","https://openalex.org/W2146225536","https://openalex.org/W2152701363","https://openalex.org/W2161686623","https://openalex.org/W2170059033","https://openalex.org/W3135358928","https://openalex.org/W4229794986","https://openalex.org/W4236810420","https://openalex.org/W4238001440","https://openalex.org/W4242010931","https://openalex.org/W4242608638","https://openalex.org/W4244041218","https://openalex.org/W4245896817","https://openalex.org/W4256199825","https://openalex.org/W4300514900"],"related_works":["https://openalex.org/W1534459252","https://openalex.org/W2544441948","https://openalex.org/W4238888834","https://openalex.org/W2356662743","https://openalex.org/W2025089370","https://openalex.org/W1997987234","https://openalex.org/W2075660794","https://openalex.org/W2146026567","https://openalex.org/W2043029256","https://openalex.org/W2143240582"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"study":[4,97],"ranked":[5],"discriminant":[6,72,80],"functions":[7,73],"that":[8,99],"were":[9],"introduced":[10,71],"by":[11],"Randles":[12,16],"et":[13],"al.":[14],"(1978a":[15],",":[17,20,22,25,27,30,32,61],"R.":[18,33],"H.":[19],"Broffitt":[21],"J.":[23,28],"D.":[24],"Ramberg":[26],"S.":[29],"Hogg":[31],"V.":[34],"(":[35,51],"1978a":[36],").":[37],"Discriminant":[38],"analysis":[39],"based":[40,82],"on":[41,69,83],"ranks":[42],".":[43],"Journal":[44],"of":[45,89,119,124],"the":[46,90,103],"American":[47],"Statistical":[48],"Association":[49],"73":[50],"362":[52],"):":[53],"379":[54],"\u2013":[55],"384":[56],".[Taylor":[57],"&":[58],"Francis":[59],"Online]":[60],"[Google":[62],"Scholar]).":[63],"The":[64],"ranking":[65,104],"method":[66,105],"is":[67],"applied":[68],"recently":[70],"maximum":[74],"L":[75],"1":[76],"depth":[77],"and":[78,92,121],"quadratic":[79],"function":[81],"minimum":[84],"covariance":[85],"determinant":[86],"(MCD)":[87],"estimates":[88],"mean":[91],"covariance.":[93],"An":[94],"extensive":[95],"simulation":[96],"shows":[98],"not":[100],"only":[101],"does":[102],"provide":[106],"balance":[107],"between":[108],"misclassification":[109,120],"error":[110],"rates":[111],"but":[112],"it":[113],"also":[114],"yields":[115],"lower":[116],"total":[117],"probabilities":[118],"higher":[122],"consistency":[123],"correct":[125],"classification":[126],"for":[127],"heavy-tailed":[128],"distributions.":[129]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}