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On the optimality of balanced sampling

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  • Tallis, G. M.

Abstract

In model based sampling for finite populations it is known that, provided a certain variance condition is met and balanced samples are used, the best linear unbiased predictor of the population total is the expansion estimator. This note establishes a condition for balanced sampling to be the optimal sampling strategy, again using the criterion of mean square error. In a sense which is discussed, this condition is both necessary and sufficient.

Suggested Citation

  • Tallis, G. M., 1986. "On the optimality of balanced sampling," Statistics & Probability Letters, Elsevier, vol. 4(3), pages 141-144, April.
    • Handle: RePEc:eee:stapro:v:4:y:1986:i:3:p:141-144
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