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dc.contributor.authorHuerta, Mauricio
dc.contributor.authorLeiva, Víctor
dc.contributor.authorLiu, Shuangzhe
dc.contributor.authorRodríguez-Gallardo, Marcelo
dc.contributor.authorVillegas, Danny
dc.date.accessioned2019-12-17T18:40:04Z
dc.date.available2019-12-17T18:40:04Z
dc.date.issued2019
dc.identifier.urihttp://repositorio.ucm.cl/handle/ucm/2580
dc.description.abstractIn chemometrical applications, covariates in regression models are often correlated, causing a collinearity problem that can be solved by partial least squares (PLS) regression. In addition, high dimensionality in the space of covariates is also a problem with more parameters than cases, a phenomenon usually found in chemical spectral data that can also be solved by PLS regression. The Birnbaum-Saunders distribution has theoretical justifications for modeling chemical data. In this paper, a new methodology based on PLS regression models is proposed considering a reparameterized Birnbaum-Saunders (RBS) distribution for the response, which is useful for describing asymmetric data frequently found in chemical phenomena. We estimate the RBS-PLS model parameters using the maximum likelihood method. A bootstrap approach is employed to obtain the optimal number of PLS components. Quantile residuals and Cook and Mahalanobis type distances are utilized for detecting possible anomalies in the modeling. We conduct perturbation studies to assess the performance of these diagnostic tools. The proposed methodology is applied to real-world kaolinite data and compared to other competing models. This provides a useful illustration of chemical analysis in the mining industry.es_CL
dc.language.isoenes_CL
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/*
dc.sourceChemometrics and Intelligent Laboratory Systems, 190, 55-68es_CL
dc.subjectBootstrappinges_CL
dc.subjectCook distancees_CL
dc.subjectMahalanobis distancees_CL
dc.subjectDiagnostic analysises_CL
dc.subjectLikelihood methodes_CL
dc.subjectNIR spectral dataes_CL
dc.subjectR softwarees_CL
dc.subjectStatistical residualses_CL
dc.titleOn a partial least squares regression model for asymmetric data with a chemical application in mininges_CL
dc.typeArticlees_CL
dc.ucm.facultadFacultad de Ciencias Básicases_CL
dc.ucm.indexacionScopuses_CL
dc.ucm.indexacionIsies_CL
dc.ucm.urisibib2.ucm.cl:2048/login?url=https://www.sciencedirect.com/science/article/abs/pii/S0169743918304696es_CL
dc.ucm.doidoi.org/10.1016/j.chemolab.2019.04.013es_CL


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Atribución-NoComercial-SinDerivadas 3.0 Chile
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