On the optimality of balanced sampling
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.
Year of publication: |
1986
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Authors: | Tallis, G. M. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 4.1986, 3, p. 141-144
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Publisher: |
Elsevier |
Subject: | balanced sampling superpopulation prediction approach |
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