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.
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References
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.
Brewer, K.R.W.: A Class of Robust Sampling Designs for Large-Scale Surveys. Journal of the American Statistical Association74, 1979, 911–915.
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.
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.
Godambe, V.P.: A Unified Theory of Sampling from Finite Populations. Journal of the Royal Statistical Society Ser. B,17, 1955, 269–278.
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This work was done while the author was visiting Iowa State University, Ames.
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Rao, T.J. On Brewer's class of robust sampling designs for large-scale surveys. Metrika 31, 319–322 (1984). https://doi.org/10.1007/BF01915218
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DOI: https://doi.org/10.1007/BF01915218