Skewness-Kurtosis Model-Based Projection Pursuit with Application to Summarizing Gene Expression Data

Arevalillo, Jorge M. y Navarro, Hilario . (2022) Skewness-Kurtosis Model-Based Projection Pursuit with Application to Summarizing Gene Expression Data. Mathematics 2021, 9(9), 954;

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Título Skewness-Kurtosis Model-Based Projection Pursuit with Application to Summarizing Gene Expression Data
Autor(es) Arevalillo, Jorge M.
Navarro, Hilario
Materia(s) Estadística
Abstract Non-normality is a usual fact when dealing with gene expression data. Thus, flexible models are needed in order to account for the underlying asymmetry and heavy tails of multivariate gene expression measures. This paper addresses the issue by exploring the projection pursuit problem under a flexible framework where the underlying model is assumed to follow a multivariate skew-t distribution. Under this assumption, projection pursuit with skewness and kurtosis indices is addressed as a natural approach for data reduction. The work examines its properties giving some theoretical insights and delving into the computational side in regards to the application to real gene expression data. The results of the theory are illustrated by means of a simulation study; the outputs of the simulation are used in combination with the theoretical insights to shed light on the usefulness of skewness-kurtosis projection pursuit for summarizing multivariate gene expression data. The application to gene expression measures of patients diagnosed with triple-negative breast cancer gives promising findings that may contribute to explain the heterogeneity of this type of tumors.
Palabras clave skewness
kurtosis
skew-t distribution
projection pursuit
gene expression data
Editor(es) MDPI
Fecha 2022-04-24
Formato application/pdf
Identificador bibliuned:DptoEOICN-FCIE-Articulos-Hnavarro-0007
http://e-spacio.uned.es/fez/view/bibliuned:DptoEOICN-FCIE-Articulos-Hnavarro-0007
DOI - identifier 10.3390/math9090954
ISSN - identifier 2227-7390
Nombre de la revista Mathematics
Número de Volumen 9
Número de Issue 9
Publicado en la Revista Mathematics 2021, 9(9), 954;
Idioma eng
Versión de la publicación publishedVersion
Tipo de recurso Article
Derechos de acceso y licencia http://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
Tipo de acceso Acceso abierto
Notas adicionales The registered version of this article, first published in Mathematics, is available online at the publisher's website: MDPI, https://doi.org/10.3390/math9090954
Notas adicionales La versión registrada de este artículo, publicado por primera vez en Mathematics, está disponible en línea en el sitio web del editor: MDPI, https://doi.org/10.3390/math9090954

 
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Creado: Mon, 29 Jan 2024, 23:07:24 CET