Unequal Probability Procedures and the Horvitz-Thompson Estimator
As mentioned in Chapter 1, the Horvitz-Thompson Estimator has a number of desirable properties when used with an exact sampling procedure. To the three given in Chapter 1 can now be added a fourth, that under model (1.8.5), the expected variance of the Horvitz-Thompson estimator achieves the lower bound of the expected variance for any design-unbiased estimator (Godambe and Joshi, 1965).
KeywordsEquivalence Class Variance Estimator Systematic Procedure Approximate Variance Randomization Device
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