Bayesian non-linear regression models with skew-elliptical errors: Applications to the classification of longitudinal profiles

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dc.contributor.authorDe la Cruz, Rolando
dc.date.accessioned2024-01-10T12:37:47Z
dc.date.available2024-01-10T12:37:47Z
dc.date.issued2008
dc.description.abstractTypically, the fundamental assumption in non-linear regression models is the normality of the errors. Even though this model offers great flexibility for modeling these effects, it suffers from the same lack of robustness against departures from distributional assumptions as other statistical models based on the Gaussian distribution. It is of practical interest, therefore, to study non-linear models which are less sensitive to departures from normality, as well as related assumptions. Thus the current methods proposed for linear regression models need to be extended to non-linear regression models. This paper discusses non-linear regression models for longitudinal data with errors that follow a skew-elliptical distribution. Additionally, we discuss Bayesian statistical methods for the classification of observations into two or more groups based on skew-models for non-linear longitudinal profiles. Parameter estimation for a discriminant model that classifies individuals into distinct predefined groups or populations uses appropriate posterior simulation schemes. The methods are illustrated with data from a study involving 173 pregnant women. The main objective in this study is to predict normal versus abnormal pregnancy outcomes from beta human chorionic gonadotropin data available at early stages of pregnancy. (C) 2008 Elsevier B.V. All rights reserved.
dc.description.funderFondo Nacional de Desarrollo Cientifico y Tecnologico - FONDECYT
dc.fechaingreso.objetodigital2024-04-09
dc.format.extent14 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.csda.2008.08.027
dc.identifier.eissn1872-7352
dc.identifier.issn0167-9473
dc.identifier.urihttps://doi.org/10.1016/j.csda.2008.08.027
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76922
dc.identifier.wosidWOS:000261670000017
dc.information.autorucMedicina;De la Cruz R;S/I;119
dc.issue.numero2
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final449
dc.pagina.inicio436
dc.publisherELSEVIER
dc.revistaCOMPUTATIONAL STATISTICS & DATA ANALYSIS
dc.rightsacceso restringido
dc.subjectDISCRIMINANT-ANALYSIS
dc.subjectMULTIVARIATE-T
dc.subjectDISTRIBUTIONS
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleBayesian non-linear regression models with skew-elliptical errors: Applications to the classification of longitudinal profiles
dc.typeartículo
dc.volumen53
sipa.codpersvinculados119
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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