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Biometrika 1990 77(2):389-395; doi:10.1093/biomet/77.2.389
© 1990 by Biometrika Trust
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Asymptotic minimaxity of the ratio strategy

H. STENGER

Lehrstuhl für Statistik I, Universität Mannheim D-6800 Mannheim 1, Federal Republic of Germany

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.

Key Words: Asymptotic minimaxity • Minimax strategy • Ratio estimation • Survey sampling


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