This paper introduces empirical best predictors of small area bivariate parameters, like ratios of sums or sums of ratios, by assuming that the target unit-level vector follows a bivariate nested error regression model. The corresponding means squared errors are estimated by parametric bootstrap. Several simulation experiments empirically study the behavior of the introduced statistical methodology. An application to real data from the Spanish household budget survey gives estimators of ratios of food household expenditures by provinces.
翻译:本文介绍小面积双差参数的经验最佳预测器,如总和或总比率之比,假设目标单位级矢量遵循双差嵌套误差回归模型,相应的表示方差由参数靴估计,若干模拟实验对采用统计方法的行为进行了实验性研究,对西班牙家庭预算调查实际数据的应用显示各省粮食家庭支出比率的估测。