Asymptotic Minimaxity of the Ratio Strategy
本文用渐近极小化极大原理，同时为调查抽样中简单随机抽样和比率估计的使用提供了理论依据。
The use of simple random sampling together with ratio estimation is of fundamental importance in survey sampling practice. From a theoretical point of view the ratio estimator has been justified by Bayesian methods (Ericson, 1969) and by superpopulation methods (Royall, 1970). But these methods do not yield a rigorous justification of simple random sampling at the same time. We use the minimax principle in an asymptotic version to justify both simple random sampling and ratio estimation.