Small area estimation of expenditure means and ratios under a unit-level bivariate linear mixed model |
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| Authors: | Marí a Dolores Esteban,Marí a José Lombardí a,Esther Ló pez-Vizcaí no,Domingo Morales,Agustí n Pé rez |
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| Affiliation: | aDepartamento de Estadística, Matemáticas e Informática, Universidad Miguel Hernández de Elche, Elche, Spain;bModes Rearch Group, Universidade da Coruña, CITIC, Coruña, Spain;cInstituto Galego de Estatística, Santiago de Compostela, Spain |
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| Abstract: | ![]()
Under a unit-level bivariate linear mixed model, this paper introduces small area predictors of expenditure means and ratios, and derives approximations and estimators of the corresponding mean squared errors. For the considered model, the REML estimation method is implemented. Several simulation experiments, designed to analyze the behavior of the introduced fitting algorithm, predictors and mean squared error estimators, are carried out. An application to real data from the Spanish household budget survey illustrates the behavior of the proposed statistical methodology. The target is the estimation of means of food and non-food household annual expenditures and of ratios of food household expenditures by Spanish provinces. |
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| Keywords: | Multivariate linear mixed models nested error regression models best linear unbiased predictors ratio estimators small area estimation household budget surveys |
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