Kruskal-Wallis Test for Functional Data Based on Random Projections Generated from a Simulation of a Brownian Motion

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dc.creatorMeléndez Surmay, Rafael
dc.creatorGiraldo Henao, Ramón
dc.creatorRodríguez Cortes, Francisco
dc.date2024-04-29
dc.date.accessioned2025-10-01T23:53:12Z
dc.descriptionThe k-sample problem for functional data has been widely studied from theoretical and applied perspectives. In literature, Gaussianity of the generating process is generally assumed, which may be impractical in some situations. This work proposes an extension of the Kruskal-Wallis test to the case of functional data as an alternative to the problem of non- Gaussianity. The methodology used consisted of transforming each group's functional data into scalars using random projections and subsequently performing classical Kruskal-Wallis tests. The main results were the extension of the Kruskal-Wallis test to the case of functional data and the verification of its unbiased and consistency properties. Reducing dimensionality from random projections allows us to extend the classical Kruskal-Wallis test to the functional context and solve problems of non-Gaussianity and atypical observations.en-US
dc.descriptionEl problema de k muestras de datos funcionales se ha estudiado ampliamente desde perspectivas teóricas y aplicadas. En la literatura se asume generalmente el supuesto de Gaussianidad del proceso generador, el cual puede ser impráctico en algunas situaciones particulares. Este trabajo tuvo como objetivo proponer una extensión de la prueba de Kruskal- Wallis al caso de datos funcionales, como alternativa al problema de no Gaussianidad. La metodología empleada consistió en transformar los datos funcionales de cada grupo en escalares empleando proyecciones aleatorias y en realizar posteriormente pruebas de Kruskal-Wallis clásicas. Los principales resultados fueron la extensión de la prueba de Kruskal-Wallis al caso de datos funcionales y la comprobación de las propiedades de insesgadez y consistencia de esta misma. Se puede concluir que la reducción de la dimensionalidad a partir de las proyecciones aleatorias permite extender la prueba de Kruskal-Wallis clásica al contexto funcional y por ende solucionar problemas de no Gaussianidad y observaciones atípicas.es-ES
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dc.identifierhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/2986
dc.identifier10.22430/22565337.2986
dc.identifier.urihttps://hdl.handle.net/20.500.12622/7899
dc.languageeng
dc.publisherInstituto Tecnológico Metropolitano (ITM)es-ES
dc.relationhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/2986/3216
dc.relationhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/2986/3299
dc.relationhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/2986/3300
dc.relationhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/2986/3301
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dc.rightsDerechos de autor 2024 TecnoLógicases-ES
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/4.0es-ES
dc.sourceTecnoLógicas; Vol. 27 No. 59 (2024); e2986en-US
dc.sourceTecnoLógicas; Vol. 27 Núm. 59 (2024); e2986es-ES
dc.source2256-5337
dc.source0123-7799
dc.subjectFunctional dataen-US
dc.subjectrandom projectionsen-US
dc.subjectKruskal-Wallis testen-US
dc.subjectnon-parametric statisticsen-US
dc.subjectbrownian motionen-US
dc.subjectDatos funcionaleses-ES
dc.subjectproyecciones aleatoriases-ES
dc.subjectprueba de Kruskal-Wallises-ES
dc.subjectestadística no paramétricaes-ES
dc.subjectmovimiento brownianoes-ES
dc.titleKruskal-Wallis Test for Functional Data Based on Random Projections Generated from a Simulation of a Brownian Motionen-US
dc.titlePrueba de Kruskal-Wallis para datos funcionales basada en proyecciones aleatorias generadas a partir de una simulación de un movimiento brownianoes-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeResearch Papersen-US
dc.typeArtículos de investigaciónes-ES

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