Esteban María Dolores, Lombardía María José, López-Vizcaíno Esther, Morales Domingo, Pérez Agustín
Departamento de Estadística, Matemáticas e Informática, Universidad Miguel Hernández de Elche, Elche, Spain.
Modes Rearch Group, Universidade da Coruña, CITIC, Coruña, Spain.
J Appl Stat. 2020 Aug 5;49(1):143-168. doi: 10.1080/02664763.2020.1803809. eCollection 2022.
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.
在单位层面的双变量线性混合模型下，本文介绍了支出均值和比率的小区域预测器，并推导了相应均方误差的近似值和估计量。对于所考虑的模型，采用了限制最大似然估计（REML）方法。开展了若干模拟实验，旨在分析所引入的拟合算法、预测器和均方误差估计量的性能。对西班牙家庭预算调查的实际数据进行的应用说明了所提出统计方法的性能。目标是估计西班牙各省家庭食品和非食品年度支出的均值以及家庭食品支出的比率。
