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小域估计中的设计一致性与模型依赖AI 解读

For small domains, we have a choice between design-consistent estimators that make the strongest possible use of auxiliary information and model-dependent design-biased alternatives such as the synthetic estimator. In this article, a design-consistent method is developed that borrows strength in the same way that the design-biased synthetic estimator does. The latter has a design-based mean squared error (MSE) advantage in small samples under the supposition that domains…

概率抽样中纳入概率倒数权重与最佳线性无偏权重的比较AI 解读

This paper deals with two schemes, π-inverse weights and best linear unbiased weights, for weighting of observations drawn by unequal probability sampling methods. The context is that of constructing an asymptotically design-unbiased estimate of the mean of a finite population. Estimation of regression coefficients is needed as a preliminary step, and it is here that the question of weighting enters. The conclusion is that the two schemes are equally efficient as far as…