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Biometrika 1975 62(2):353-357; doi:10.1093/biomet/62.2.353
© 1975 by Biometrika Trust
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Minimax designs for sample surveys

A. J. SCOTT and T. M. F. SMITH

Department of Mathematics, University of Auckland
Department of Mathematics, University of Southampton

Blackwell & Girshick (1954) have shown that simple random sampling is the minimax sampling strategy when the quantity being estimated and the space of possible population values are suitably eymmetric. In this paper, sampling with probabilities proportional to size is shown to be the minimax strategy under fairly strong conditions when the quantity being estimated is not symmetric.

Key Words: Minimax design • Probability proportional to size sampling • Randomization • Sample surveys


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