Una adaptación del procedimiento bootstrap en la estimación del error cuadrático medio en área pequeñas con aplicación a datos colombianos.

The 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...

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Detalles Bibliográficos
Autor: Vélez Montoya, Daniela
Tipo de recurso: tesis de maestría
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:Colombia
Institución:Universidad Nacional de Colombia
Repositorio:Repositorio UN
Idioma:español
OAI Identifier:oai:repositorio.unal.edu.co:unal/75926
Acceso en línea:https://repositorio.unal.edu.co/handle/unal/75926
Access Level:acceso abierto
Palabra clave:310 - Colecciones de estadística general
Áreas pequeñas
Estimador
Error Cuadrático Medio
Bootstrap
Small areas
Estimator
Mean squared error
Bootstrap.
Descripción
Sumario:The 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.