Metrika

, Volume 31, Issue 1, pp 319–322 | Cite as

On Brewer's class of robust sampling designs for large-scale surveys

  • T. J. Rao
Publication

Summary

In this note we observe that Brewer's (1979) result concerning the asymptotically design unbiased strategy which has minimum expected variance under a super population model can be established in a more general setting.

Keywords

Asymptotic Analysis Unbiased Estimator American Statistical Association Tril Royal Statistical Society 

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References

  1. Basu, D.: An Essay on the Logical Foundations of Survey Sampling, part one. In: Symposium on the Foundations of Statistical Inference. Ed. by V.P. Godambe, and D.A. Sprott. Toronto-Montreal 1971, 203–242.Google Scholar
  2. Brewer, K.R.W.: A Class of Robust Sampling Designs for Large-Scale Surveys. Journal of the American Statistical Association74, 1979, 911–915.MathSciNetCrossRefMATHGoogle Scholar
  3. Cassel, C.M., C.E. Särndal, andJ.H. Wretman: Some Results on Generalized Difference Estimation and Generalized Regression Estimation for Finite Populations. Biometrika63, 1976, 615–620.MathSciNetCrossRefMATHGoogle Scholar
  4. Fuller, W.A., andC.T. Isaki: Survey Design under Super Population Models. To appear in Journal of the American Statistical Association, Iowa State University Research Report 1980.Google Scholar
  5. Godambe, V.P.: A Unified Theory of Sampling from Finite Populations. Journal of the Royal Statistical Society Ser. B,17, 1955, 269–278.MathSciNetMATHGoogle Scholar

Copyright information

© Physica-Verlag 1984

Authors and Affiliations

  • T. J. Rao
    • 1
  1. 1.Virginia Polytechnic Institute and State UniversityBlacksburgUSA

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