On the fourth cumulant tensor in projection pursuit for a flexible class of skewed models

Projection pursuit is an exploratory data analysis approach for summarizing multivariate data through the search of interesting data projections. It relies on the maximization of an abnormality measure that quantifies the relevance of a projection to capture data non-normal features. The need to exp...

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Detalles Bibliográficos
Autores: Martín Arevalillo, Jorge, Navarro Veguillas, Hilario
Tipo de recurso: artículo
Fecha de publicación:2026
País:España
Institución:Universidad Nacional de Educación a Distancia
Repositorio:e-spacio. Repositorio Institucional de la UNED
Idioma:inglés
OAI Identifier:oai:dnet:espacio_____::c9f39f247e7682bcbfa55b8c89fe5e5d
Acceso en línea:https://hdl.handle.net/20.500.14468/32718
Access Level:acceso abierto
Palabra clave:1209 Estadística
kurtosis
projection pursuit
tensor
scale mixture of skew-normal
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spelling On the fourth cumulant tensor in projection pursuit for a flexible class of skewed modelsMartín Arevalillo, JorgeNavarro Veguillas, Hilario1209 Estadísticakurtosisprojection pursuittensorscale mixture of skew-normalProjection pursuit is an exploratory data analysis approach for summarizing multivariate data through the search of interesting data projections. It relies on the maximization of an abnormality measure that quantifies the relevance of a projection to capture data non-normal features. The need to expand the estimation approaches to address projection pursuit has motivated its study within parametric frameworks. This is a follow-up work aimed at exploring the problem under a general class of distributions as it is the scale mixture of skew-normal family. Projection pursuit is examined by exploring the path going from the role played by the fourth cumulant tensor for addressing the problem to its connection with model parameters. The paper contributes to build a triangulation among linear algebra, projection pursuit and parametric statistics. A simulation study and an example with real data are also provided.ELSEVIERMinisterio de Ciencia e Innovación y Universidades (España)e-Spacio UNED20262026-05-2620262026-01-0120262026-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14468/32718reponame:e-spacio. Repositorio Institucional de la UNEDinstname:Universidad Nacional de Educación a DistanciaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/deed.esoai:dnet:espacio_____::c9f39f247e7682bcbfa55b8c89fe5e5d2026-06-06T12:38:31Z
dc.title.none.fl_str_mv On the fourth cumulant tensor in projection pursuit for a flexible class of skewed models
title On the fourth cumulant tensor in projection pursuit for a flexible class of skewed models
spellingShingle On the fourth cumulant tensor in projection pursuit for a flexible class of skewed models
Martín Arevalillo, Jorge
1209 Estadística
kurtosis
projection pursuit
tensor
scale mixture of skew-normal
title_short On the fourth cumulant tensor in projection pursuit for a flexible class of skewed models
title_full On the fourth cumulant tensor in projection pursuit for a flexible class of skewed models
title_fullStr On the fourth cumulant tensor in projection pursuit for a flexible class of skewed models
title_full_unstemmed On the fourth cumulant tensor in projection pursuit for a flexible class of skewed models
title_sort On the fourth cumulant tensor in projection pursuit for a flexible class of skewed models
dc.creator.none.fl_str_mv Martín Arevalillo, Jorge
Navarro Veguillas, Hilario
author Martín Arevalillo, Jorge
author_facet Martín Arevalillo, Jorge
Navarro Veguillas, Hilario
author_role author
author2 Navarro Veguillas, Hilario
author2_role author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación y Universidades (España)
e-Spacio UNED
dc.subject.none.fl_str_mv 1209 Estadística
kurtosis
projection pursuit
tensor
scale mixture of skew-normal
topic 1209 Estadística
kurtosis
projection pursuit
tensor
scale mixture of skew-normal
description Projection pursuit is an exploratory data analysis approach for summarizing multivariate data through the search of interesting data projections. It relies on the maximization of an abnormality measure that quantifies the relevance of a projection to capture data non-normal features. The need to expand the estimation approaches to address projection pursuit has motivated its study within parametric frameworks. This is a follow-up work aimed at exploring the problem under a general class of distributions as it is the scale mixture of skew-normal family. Projection pursuit is examined by exploring the path going from the role played by the fourth cumulant tensor for addressing the problem to its connection with model parameters. The paper contributes to build a triangulation among linear algebra, projection pursuit and parametric statistics. A simulation study and an example with real data are also provided.
publishDate 2026
dc.date.none.fl_str_mv 2026
2026-05-26
2026
2026-01-01
2026
2026-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14468/32718
url https://hdl.handle.net/20.500.14468/32718
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/deed.es
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
http://creativecommons.org/licenses/by/4.0/deed.es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv ELSEVIER
publisher.none.fl_str_mv ELSEVIER
dc.source.none.fl_str_mv reponame:e-spacio. Repositorio Institucional de la UNED
instname:Universidad Nacional de Educación a Distancia
instname_str Universidad Nacional de Educación a Distancia
reponame_str e-spacio. Repositorio Institucional de la UNED
collection e-spacio. Repositorio Institucional de la UNED
repository.name.fl_str_mv
repository.mail.fl_str_mv
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