Alternative mean square error estimators and confidence intervals for small area prediction under general designs
一般抽样设计下小区域预测的替代均方误差估计与置信区间
Abstract Estimating the mean square error of a small area predictor under an informative sampling design is a challenging problem. Existing approaches rely on approximations that have not been justified theoretically. We provide rigorous support for a mean square error estimator that is applicable to an informative sample design. The procedure can be used in combination with predictors of general parameters that may be nonlinear functions of the model response variable. We…