{"id":"https://openalex.org/W4212980337","doi":"https://doi.org/10.1080/03610918.2022.2037641","title":"Joint test for homogeneity of high-dimensional means and covariance matrices using maximum-type statistics","display_name":"Joint test for homogeneity of high-dimensional means and covariance matrices using maximum-type statistics","publication_year":2022,"publication_date":"2022-02-14","ids":{"openalex":"https://openalex.org/W4212980337","doi":"https://doi.org/10.1080/03610918.2022.2037641"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2022.2037641","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2037641","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/A5086408675","display_name":"Runsheng Miao","orcid":null},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Runsheng Miao","raw_affiliation_strings":["College of Communication and Art Design, University of Shanghai for Science and Technology, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Communication and Art Design, University of Shanghai for Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067011395","display_name":"Kai Xu","orcid":"https://orcid.org/0000-0003-0191-0375"},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kai Xu","raw_affiliation_strings":["School of Mathematics and Statistics, Anhui Normal University, Wuhu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Anhui Normal University, Wuhu, China","institution_ids":["https://openalex.org/I4472751"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067011395"],"corresponding_institution_ids":["https://openalex.org/I4472751"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01448243,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"53","issue":"2","first_page":"972","last_page":"992"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9840999841690063,"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":0.9819999933242798,"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/homogeneity","display_name":"Homogeneity (statistics)","score":0.7590318322181702},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6551802158355713},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.6526060104370117},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6206921339035034},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.5865713953971863},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.5781439542770386},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5497279763221741},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5459066033363342},{"id":"https://openalex.org/keywords/sample-size-determination","display_name":"Sample size determination","score":0.5439441800117493},{"id":"https://openalex.org/keywords/type-i-and-type-ii-errors","display_name":"Type I and type II errors","score":0.5266774892807007},{"id":"https://openalex.org/keywords/likelihood-ratio-test","display_name":"Likelihood-ratio test","score":0.5080370903015137},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.48827695846557617},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.4178921580314636}],"concepts":[{"id":"https://openalex.org/C142259097","wikidata":"https://www.wikidata.org/wiki/Q5891314","display_name":"Homogeneity (statistics)","level":2,"score":0.7590318322181702},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6551802158355713},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.6526060104370117},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6206921339035034},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.5865713953971863},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.5781439542770386},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5497279763221741},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5459066033363342},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.5439441800117493},{"id":"https://openalex.org/C40696583","wikidata":"https://www.wikidata.org/wiki/Q989120","display_name":"Type I and type II errors","level":2,"score":0.5266774892807007},{"id":"https://openalex.org/C9483764","wikidata":"https://www.wikidata.org/wiki/Q585740","display_name":"Likelihood-ratio test","level":2,"score":0.5080370903015137},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.48827695846557617},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.4178921580314636}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2022.2037641","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2037641","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":[],"awards":[{"id":"https://openalex.org/G5784410954","display_name":null,"funder_award_id":"11901006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6154600649","display_name":null,"funder_award_id":"1908085QA06","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1586371159","https://openalex.org/W1636560243","https://openalex.org/W1963657942","https://openalex.org/W1965055200","https://openalex.org/W1966701961","https://openalex.org/W1982215369","https://openalex.org/W1984216002","https://openalex.org/W1986818650","https://openalex.org/W1992362262","https://openalex.org/W2081874429","https://openalex.org/W2091825839","https://openalex.org/W2100052115","https://openalex.org/W2109363337","https://openalex.org/W2339469603","https://openalex.org/W2503608075","https://openalex.org/W2588527329","https://openalex.org/W2604257403","https://openalex.org/W2766100642","https://openalex.org/W2911642248","https://openalex.org/W2951049961","https://openalex.org/W2952504266","https://openalex.org/W3105104252","https://openalex.org/W3105628576","https://openalex.org/W4213099427"],"related_works":["https://openalex.org/W2905337183","https://openalex.org/W2736675614","https://openalex.org/W2397904024","https://openalex.org/W2099884999","https://openalex.org/W1981338137","https://openalex.org/W198207367","https://openalex.org/W2015806131","https://openalex.org/W2095050400","https://openalex.org/W2947062107","https://openalex.org/W2584466131"],"abstract_inverted_index":{"Several":[0],"tests":[1],"for":[2,38],"simultaneously":[3],"checking":[4],"homogeneity":[5],"of":[6,64,106,134,142,156],"means":[7],"and":[8,17,136,163],"covariance":[9],"matrices,":[10],"based":[11],"on":[12],"the":[13,26,57,65,81,90,94,102,107,124,140,143,149,154],"classical":[14],"likelihood":[15],"ratio":[16],"sum-of-squares":[18],"type":[19],"test":[20,55,67,82],"statistics,":[21],"have":[22,34],"been":[23],"proposed":[24,66,125],"in":[25,132],"literature.":[27],"Despite":[28],"their":[29],"usefulness,":[30],"they":[31],"tend":[32],"to":[33,71,116],"unsatisfactory":[35],"size":[36,118,135],"performance":[37],"either":[39],"nonnormal":[40],"high-dimensional":[41,53],"data":[42,95,144,166],"or":[43],"strongly":[44],"spiked":[45],"eigenvalue":[46],"models.":[47],"This":[48],"article":[49],"proposes":[50],"a":[51,98,112,164],"novel":[52],"nonparametric":[54],"using":[56],"maximum-type":[58],"statistics.":[59],"The":[60],"limiting":[61],"null":[62],"distribution":[63],"statistic":[68],"is":[69,83,129,145],"derived":[70],"provide":[72],"p-values.":[73],"It":[74],"turns":[75],"out":[76],"that":[77,123],"under":[78],"appropriate":[79],"conditions,":[80],"particularly":[84],"powerful":[85],"against":[86],"sparse":[87],"alternatives.":[88],"Since":[89],"unknown":[91],"correlations":[92],"among":[93],"sometimes":[96],"pose":[97],"great":[99],"challenge":[100],"toward":[101],"accurate":[103],"p-value":[104],"calculation":[105],"test,":[108],"we":[109],"further":[110],"use":[111],"parametric":[113],"bootstrap":[114],"technique":[115],"achieve":[117],"accuracy.":[119],"We":[120,152],"also":[121],"prove":[122],"simulation-based":[126],"testing":[127],"procedure":[128],"asymptotically":[130],"valid":[131],"terms":[133],"power":[137],"even":[138],"if":[139],"dimension":[141],"much":[146],"larger":[147],"than":[148],"sample":[150],"size.":[151],"demonstrate":[153],"effectiveness":[155],"our":[157],"methods":[158],"through":[159],"extensive":[160],"simulation":[161],"studies":[162],"real":[165],"application.":[167]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}