Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/39367
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dc.contributor.authorBAILLIEN, Jonas-
dc.contributor.authorGijbels, Irene-
dc.contributor.authorVERHASSELT, Anneleen-
dc.date.accessioned2023-02-06T08:11:17Z-
dc.date.available2023-02-06T08:11:17Z-
dc.date.issued2023-
dc.date.submitted2023-02-02T13:59:26Z-
dc.identifier.citationJOURNAL OF MULTIVARIATE ANALYSIS, 193 (Art N° 105118)-
dc.identifier.urihttp://hdl.handle.net/1942/39367-
dc.description.abstractIn a univariate setting there is a near unanimous agreement on the notion of skewness. Nevertheless, many more skewness measures, or also called asymmetry measures (or indices) exist, each with their benefits. Extending the concept of skewness or asymmetry to a multivariate setting is a much harder problem. Attempts have been made, but the unanimity of the univariate setting is no longer present. Most asymmetry indices are scalar or vector based measures, but this can lead to a loss of information concerning asymmetry. To this end, we propose a novel functional asymmetry index which is based on the natural idea of reflective symmetry around the mode. The proposed index is also extended to the multivariate setting and a summarizing scalar (or vector based index in multivariate setting) is derived from it.(c) 2022 Elsevier Inc. All rights reserved.-
dc.description.sponsorshipThe authors are grateful to an Associate Editor and two reviewers for their valuable comments which led to an improvement of the manuscript. The first and second author gratefully acknowledge support from the Research Fund KU Leuven [C16/20/002 project]. The third author was supported by Special Research Fund (Bijzonder Onderzoeksfonds) of Hasselt University [BOF14NI06].-
dc.language.isoen-
dc.publisherELSEVIER INC-
dc.rights2022 Elsevier Inc. All rights reserved.-
dc.subject.otherAsymmetry measure-
dc.subject.otherMode-
dc.subject.otherNonparametric estimation-
dc.subject.otherParametric estimation-
dc.subject.otherReflective symmetry-
dc.subject.otherUniform consistency-
dc.titleA new distance based measure of asymmetry-
dc.typeJournal Contribution-
dc.identifier.volume193-
local.bibliographicCitation.jcatA1-
dc.description.notesGijbels, I (corresponding author), Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200B,Box 2400, B-3001 Leuven, Heverlee, Belgium.-
dc.description.notesirene.gijbels@kuleuven.be-
local.publisher.place525 B STREET, STE 1900, SAN DIEGO, CA 92101-4495 USA-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr105118-
dc.identifier.doi10.1016/j.jmva.2022.105118-
dc.identifier.isi000909030500013-
dc.identifier.eissn-
local.provider.typewosris-
local.description.affiliation[Baillien, Jonas; Gijbels, Irene] Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200B,Box 2400, B-3001 Leuven, Heverlee, Belgium.-
local.description.affiliation[Verhasselt, Anneleen] Hasselt Univ, Data Sci Inst, Ctr Stat, Agoralaan Bldg, B-3590 Diepenbeek, Belgium.-
local.uhasselt.internationalno-
item.validationecoom 2024-
item.fulltextWith Fulltext-
item.accessRightsOpen Access-
item.contributorBAILLIEN, Jonas-
item.contributorGijbels, Irene-
item.contributorVERHASSELT, Anneleen-
item.fullcitationBAILLIEN, Jonas; Gijbels, Irene & VERHASSELT, Anneleen (2023) A new distance based measure of asymmetry. In: JOURNAL OF MULTIVARIATE ANALYSIS, 193 (Art N° 105118).-
crisitem.journal.issn0047-259X-
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