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dc.contributor.authorNieto Reyes, Alicia 
dc.contributor.authorBattey, Heather
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2022-04-08T14:33:48Z
dc.date.available2022-04-08T14:33:48Z
dc.date.issued2021-07
dc.identifier.issn0047-259X
dc.identifier.issn1095-7243
dc.identifier.otherMTM2017-86061-C2-2-P (to AN-R)es_ES
dc.identifier.urihttp://hdl.handle.net/10902/24538
dc.description.abstractNumerous problems remain in the construction of statistical depth for functional data. Issues stem largely from the absence of a well-conceived notion of symmetry. The present paper proposes a topologically valid notion of symmetry for distributions on functional metric spaces and a corresponding notion of depth. The latter is shown to satisfy the axiomatic definition of functional depth introduced by Nieto-Reyes and Battey (2016).es_ES
dc.description.sponsorshipThe work was supported by a UK Engineering and Physical Sciences Research Council research fellowship (to HSB) and a Spanish Ministerio de Ciencia, Innovación y Universidades grant MTM2017-86061-C2-2-P (to AN-R).es_ES
dc.format.extent16 p.es_ES
dc.language.isoenges_ES
dc.publisherAcademic Press Inc.es_ES
dc.rights© 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons. org/licenses/by-nc-nd/4.0/).es_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceJournal of Multivariate Analysis, Volume 184, July 2021es_ES
dc.subject.otherFunctional data analysises_ES
dc.subject.otherStatistical depthes_ES
dc.subject.otherSymmetryes_ES
dc.titleA topologically valid construction of depth for functional dataes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1016/j.jmva.2021.104738es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1016/j.jmva.2021.104738
dc.type.versionpublishedVersiones_ES


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© 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons. org/licenses/by-nc-nd/4.0/).Excepto si se señala otra cosa, la licencia del ítem se describe como © 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons. org/licenses/by-nc-nd/4.0/).