{"id":"https://openalex.org/W3215647052","doi":"https://doi.org/10.3390/computation9120126","title":"More on the Supremum Statistic to Test Multivariate Skew-Normality","display_name":"More on the Supremum Statistic to Test Multivariate Skew-Normality","publication_year":2021,"publication_date":"2021-11-29","ids":{"openalex":"https://openalex.org/W3215647052","doi":"https://doi.org/10.3390/computation9120126","mag":"3215647052"},"language":"en","primary_location":{"id":"doi:10.3390/computation9120126","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation9120126","pdf_url":"https://www.mdpi.com/2079-3197/9/12/126/pdf?version=1638346905","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/9/12/126/pdf?version=1638346905","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080275911","display_name":"Timothy Opheim","orcid":"https://orcid.org/0000-0003-1180-8761"},"institutions":[{"id":"https://openalex.org/I45438204","display_name":"The University of Texas at San Antonio","ror":"https://ror.org/01kd65564","country_code":"US","type":"education","lineage":["https://openalex.org/I45438204"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Timothy Opheim","raw_affiliation_strings":["Department of Management Science and Statistics, The University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management Science and Statistics, The University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249, USA","institution_ids":["https://openalex.org/I45438204"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031386838","display_name":"Anuradha Roy","orcid":"https://orcid.org/0000-0003-0294-6185"},"institutions":[{"id":"https://openalex.org/I45438204","display_name":"The University of Texas at San Antonio","ror":"https://ror.org/01kd65564","country_code":"US","type":"education","lineage":["https://openalex.org/I45438204"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anuradha Roy","raw_affiliation_strings":["Department of Management Science and Statistics, The University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249, USA"],"raw_orcid":"https://orcid.org/0000-0003-0294-6185","affiliations":[{"raw_affiliation_string":"Department of Management Science and Statistics, The University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249, USA","institution_ids":["https://openalex.org/I45438204"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031386838"],"corresponding_institution_ids":["https://openalex.org/I45438204"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.7012,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7450507,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"9","issue":"12","first_page":"126","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9991000294685364,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9991000294685364,"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":0.996999979019165,"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/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9753000140190125,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/infimum-and-supremum","display_name":"Infimum and supremum","score":0.9468528628349304},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7076570987701416},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6541651487350464},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.6306067109107971},{"id":"https://openalex.org/keywords/normality-test","display_name":"Normality test","score":0.6153844594955444},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.581669807434082},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.5182499885559082},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.48002830147743225},{"id":"https://openalex.org/keywords/test","display_name":"Test (biology)","score":0.4793294668197632},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.4645405113697052},{"id":"https://openalex.org/keywords/multivariate-analysis","display_name":"Multivariate analysis","score":0.42451754212379456},{"id":"https://openalex.org/keywords/normality","display_name":"Normality","score":0.42177486419677734},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3467367887496948},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16818919777870178},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16118714213371277}],"concepts":[{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.9468528628349304},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7076570987701416},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6541651487350464},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.6306067109107971},{"id":"https://openalex.org/C85031952","wikidata":"https://www.wikidata.org/wiki/Q3026029","display_name":"Normality test","level":3,"score":0.6153844594955444},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.581669807434082},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.5182499885559082},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.48002830147743225},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.4793294668197632},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.4645405113697052},{"id":"https://openalex.org/C38180746","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate analysis","level":2,"score":0.42451754212379456},{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.42177486419677734},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3467367887496948},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16818919777870178},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16118714213371277},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/computation9120126","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation9120126","pdf_url":"https://www.mdpi.com/2079-3197/9/12/126/pdf?version=1638346905","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cf58dcd79def47b8b0fbce0dc2b3783e","is_oa":true,"landing_page_url":"https://doaj.org/article/cf58dcd79def47b8b0fbce0dc2b3783e","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,"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":"Computation, Vol 9, Iss 12, p 126 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2079-3197/9/12/126/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/computation9120126","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation; Volume 9; Issue 12; Pages: 126","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/computation9120126","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation9120126","pdf_url":"https://www.mdpi.com/2079-3197/9/12/126/pdf?version=1638346905","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3215647052.pdf"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W94194614","https://openalex.org/W1523967810","https://openalex.org/W1710188462","https://openalex.org/W2000031724","https://openalex.org/W2004170255","https://openalex.org/W2039054780","https://openalex.org/W2171050536","https://openalex.org/W3126400726","https://openalex.org/W3204665681","https://openalex.org/W4235611253","https://openalex.org/W4235757135","https://openalex.org/W4253953047","https://openalex.org/W4293005804","https://openalex.org/W4294373530","https://openalex.org/W4362230038","https://openalex.org/W6603863532","https://openalex.org/W6637314037"],"related_works":["https://openalex.org/W4281571219","https://openalex.org/W1480720168","https://openalex.org/W2996853055","https://openalex.org/W62326830","https://openalex.org/W1952448190","https://openalex.org/W2906455368","https://openalex.org/W40202125","https://openalex.org/W2276542565","https://openalex.org/W2075879115","https://openalex.org/W1562902162"],"abstract_inverted_index":{"This":[0],"review":[1],"is":[2],"about":[3],"verifying":[4],"and":[5,74,93,97],"generalizing":[6],"the":[7,26,34,53,57,81,88,101],"supremum":[8,35,58,102],"test":[9,36,44,59,103],"statistic":[10,37,104],"developed":[11,38],"by":[12,39],"Balakrishnan":[13,40],"et":[14,41],"al.":[15,42],"Exhaustive":[16],"simulation":[17,49],"studies":[18,50],"are":[19,78,105],"conducted":[20],"for":[21,65,68,80],"various":[22,66],"dimensions":[23,67],"to":[24,43,86],"determine":[25],"effect,":[27],"in":[28],"terms":[29],"of":[30,33,56,83,100],"empirical":[31],"size,":[32],"multivariate":[45],"skew-normality.":[46],"Monte":[47],"Carlo":[48],"indicate":[51],"that":[52],"Type-I":[54],"error":[55],"can":[60],"be":[61],"controlled":[62],"reasonably":[63],"well":[64],"given":[69],"nominal":[70,89],"significance":[71,90],"levels":[72,91],"0.05":[73,92],"0.01.":[75,94],"Cut-off":[76],"values":[77],"provided":[79],"number":[82],"samples":[84],"required":[85],"attain":[87],"Some":[95],"new":[96],"relevant":[98],"information":[99],"reported":[106],"here.":[107]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2021-12-06T00:00:00"}
