{"id":"https://openalex.org/W155868489","doi":"https://doi.org/10.1007/978-3-642-57489-4_12","title":"A Hotelling Test Based on MCD","display_name":"A Hotelling Test Based on MCD","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W155868489","doi":"https://doi.org/10.1007/978-3-642-57489-4_12","mag":"155868489"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-57489-4_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-57489-4_12","pdf_url":null,"source":{"id":"https://openalex.org/S4306506691","display_name":"COMPSTAT","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Compstat","raw_type":"book-chapter"},"type":"book-chapter","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/A5052467568","display_name":"Gert Willems","orcid":"https://orcid.org/0000-0003-0969-7767"},"institutions":[{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"G. Willems","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Antwerp (UIA), Universiteitsplein 1, B-2610, Wilrijk, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Antwerp (UIA), Universiteitsplein 1, B-2610, Wilrijk, Belgium","institution_ids":["https://openalex.org/I149213910"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089924496","display_name":"Greet Pison","orcid":null},"institutions":[{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"G. Pison","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Antwerp (UIA), Universiteitsplein 1, B-2610, Wilrijk, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Antwerp (UIA), Universiteitsplein 1, B-2610, Wilrijk, Belgium","institution_ids":["https://openalex.org/I149213910"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075121395","display_name":"Peter J. Rousseeuw","orcid":"https://orcid.org/0000-0002-3807-5353"},"institutions":[{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"P. J. Rousseeuw","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Antwerp (UIA), Universiteitsplein 1, B-2610, Wilrijk, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Antwerp (UIA), Universiteitsplein 1, B-2610, Wilrijk, Belgium","institution_ids":["https://openalex.org/I149213910"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061537141","display_name":"Stefan Van Aelst","orcid":"https://orcid.org/0000-0002-9931-5330"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"S. Van Aelst","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 281 S9, B-9000, Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 281 S9, B-9000, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5052467568"],"corresponding_institution_ids":["https://openalex.org/I149213910"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06391347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"117","last_page":"122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9998999834060669,"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":0.9998999834060669,"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":0.996399998664856,"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":0.9958000183105469,"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/test-statistic","display_name":"Test statistic","score":0.6944663524627686},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.6475651264190674},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6339811682701111},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6203595399856567},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.6039813160896301},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5305918455123901},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5170562863349915},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4971816837787628},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4327765703201294},{"id":"https://openalex.org/keywords/normal-distribution","display_name":"Normal distribution","score":0.4323435425758362},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.4245074987411499},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.4105024039745331},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.206783264875412},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13333553075790405}],"concepts":[{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.6944663524627686},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.6475651264190674},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6339811682701111},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6203595399856567},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.6039813160896301},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5305918455123901},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5170562863349915},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4971816837787628},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4327765703201294},{"id":"https://openalex.org/C102094743","wikidata":"https://www.wikidata.org/wiki/Q133871","display_name":"Normal distribution","level":2,"score":0.4323435425758362},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.4245074987411499},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.4105024039745331},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.206783264875412},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13333553075790405}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-57489-4_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-57489-4_12","pdf_url":null,"source":{"id":"https://openalex.org/S4306506691","display_name":"COMPSTAT","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Compstat","raw_type":"book-chapter"},{"id":"pmh:oai:archive.ugent.be:161975","is_oa":false,"landing_page_url":"http://hdl.handle.net/1854/LU-161975","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings in Computational Statistics 2002 / W. Haerdle & B. Roenz (eds.). - Physika-Verlag, 2002.","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1980262437","https://openalex.org/W2000724964","https://openalex.org/W2068302187","https://openalex.org/W2111131733","https://openalex.org/W2112440119","https://openalex.org/W2136179595","https://openalex.org/W2152701363","https://openalex.org/W2170523015","https://openalex.org/W3022211185","https://openalex.org/W4239472098","https://openalex.org/W4243563432","https://openalex.org/W4300347525","https://openalex.org/W6650627770","https://openalex.org/W6669919254","https://openalex.org/W6843219885","https://openalex.org/W7011740287"],"related_works":["https://openalex.org/W3015822731","https://openalex.org/W2957280400","https://openalex.org/W2075332338","https://openalex.org/W4386776152","https://openalex.org/W1970221037","https://openalex.org/W2488034322","https://openalex.org/W1826709224","https://openalex.org/W2135903028","https://openalex.org/W4249874928","https://openalex.org/W2913739054"],"abstract_inverted_index":{"Hypothesis":[0],"tests":[1],"and":[2,45,93],"confidence":[3],"intervals":[4],"based":[5,26],"on":[6,27],"the":[7,32,42,56,61,90],"classical":[8,43,57,62],"Hotelling":[9],"T":[10,63],"2":[11,64],"statistic":[12,29,53],"can":[13],"be":[14],"adversely":[15],"affected":[16],"by":[17],"outliers.":[18],"Therefore,":[19],"we":[20,66],"construct":[21],"an":[22],"alternative":[23],"inference":[24],"technique":[25],"a":[28,68,71,78],"which":[30],"uses":[31],"highly":[33],"robust":[34],"MCD":[35],"estimator":[36],"of":[37,41,50,70],"Rousseeuw":[38],"(1984)":[39],"instead":[40],"mean":[44],"covariance":[46],"matrix.":[47],"The":[48],"distribution":[49],"this":[51,83],"new":[52],"differs":[54],"from":[55],"one.":[58],"Similarly":[59],"to":[60],"distribution,":[65],"obtain":[67],"multiple":[69],"certain":[72],"F-distribution.":[73],"It":[74],"is":[75,85],"shown":[76],"through":[77],"Monte":[79],"Carlo":[80],"study":[81],"that":[82],"approximation":[84],"very":[86],"accurate,":[87],"both":[88],"at":[89,94],"normal":[91],"model":[92],"contamination":[95],"models.":[96]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}