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dc.rights.licenseAtribución-NoComercial 4.0 Internacional
dc.contributor.advisorPolo, Mayo Luz
dc.contributor.authorVélez Montoya, Daniela
dc.description.abstractThe thesis presented here focus on the estimation in small areas. The purpose is to implement a modi ed Bootstrap procedure, which allows obtaining an estimate of the mean squared error. In this study a Mixed General Linear model is considered, particular, a two-level model. The main contribution of this thesis consists on considering, in the Bootstrap procedure adaptation, the conditioned Pearson residuals associated to the error of the model (residuals of the units of level 1) and the EBLUP Pearson residuals corresponding to the prediction of the random e ect of the model (residuals of the units of level 2), which has not been considered in the literature related to the Bootstrap procedures applied to linear mixed hierarchical models.
dc.description.abstractLa tesis que se presenta a continuación tiene como tema principal la estimación en áreas pequeñas. El objetivo es implementar una modi ficación del procedimiento Bootstrap sugerido en la literatura, el cual permite obtener un estimador del error cuadrático medio del estimador del promedio para cada área pequeña. En este estudio se trabajará un Modelo Lineal General Mixto, en particular un modelo de dos niveles. El aporte de este trabajo consiste en considerar en la adaptación del procedimiento Bootstrap, los residuales condicionales de Pearson asociados al error del modelo (residuales de las unidades de nivel 1) y residuales MPLIE de Pearson correspondiente a la predicción del efecto aleatorio del modelo (residuales de las unidades de nivel 2), los cuales no son considerados en la literatura relacionada con los procedimientos Bootstrap aplicados a modelos lineales jerárquicos mixtos.
dc.rightsDerechos reservados - Universidad Nacional de Colombia
dc.subject.ddc310 - Colecciones de estadística general
dc.titleUna adaptación del procedimiento bootstrap en la estimación del error cuadrático medio en área pequeñas con aplicación a datos colombianos.
dc.rights.spaAcceso abierto
dc.description.additionalMagíster en Estadística.
dc.publisher.departmentDepartamento de Estadística
dc.publisher.branchUniversidad Nacional de Colombia - Sede Bogotá
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dc.subject.proposalÁreas pequeñas
dc.subject.proposalSmall areas
dc.subject.proposalMean squared error
dc.subject.proposalError Cuadrático Medio

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Atribución-NoComercial 4.0 InternacionalThis work is licensed under a Creative Commons Reconocimiento-NoComercial 4.0.This document has been deposited by the author (s) under the following certificate of deposit