Small-Area Estimation Under Informative Probability Sampling of Areas and Within the Selected Areas
区域及区域内信息性概率抽样下的小区域估计
In this article we show how to predict small-area means and obtain valid mean squared error estimators and confidence intervals when the areas represented in the sample are sampled with unequal probabilities possibly related to the true (unknown) area means and the sampling of units within the selected areas is with probabilities possibly related to the outcome values. Ignoring the effects of the sampling process on the distribution of the observed outcomes in such cases may…