Impact of Existence and Nonexistence of Pivot on the Coverage of Empirical Best Linear Prediction Intervals for Small Areas
枢轴量存在与否对小区域经验最佳线性预测区间覆盖率的影响
We advance parametric bootstrap theory to construct highly efficient empirical best prediction intervals for small area means, achieving a coverage error rate of O(m−3/2), where m is the number of areas modeled by a linear mixed normal model. For a general mixed effect model with random effects from a known but nonnormal distribution (with unknown hyperparameters), we show analytically that the empirical best linear (EBL) prediction interval maintains the same coverage error…