Unequal Probability Procedures and the Horvitz-Thompson Estimator

  • K. R. W. Brewer
  • Muhammad Hanif
Part of the Lecture Notes in Statistics book series (LNS, volume 15)


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).


Equivalence Class Variance Estimator Systematic Procedure Approximate Variance Randomization Device 
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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • K. R. W. Brewer
    • 1
  • Muhammad Hanif
    • 2
  1. 1.c/o Commonwealth Schools CommissionWoden, CanberraAustralia
  2. 2.Department of StatisticsEl-Fateh UniversityTripoliLibya (S.P.L.A.J.)

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