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Simultaneous Estimation of Several Stratum Means under Error-in-Variables Superpopulation Models

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Abstract

This paper considers simultaneous estimation of means from several strata under error-in-variables superpopulation models. Necessary and sufficient conditions for an estimator to be admissible in the class of linear estimators are obtained.

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References

  • Bolfarine, H. (1991). Finite population prediction under error-in-variables superpopulation models, Canad. J. Statist., 19, 191–207.

    Google Scholar 

  • Chattopadhyay, M. K. and Datta, G. S. (1994). Finite population prediction for stratified sampling under error-in-variables superpopulation models, Sankhyā Ser. B, 56, 415–433.

    Google Scholar 

  • Fuller, W. A. (1987). Measurement Error Models, Wiley, New York.

    Google Scholar 

  • Ghosh, M. and Lahiri, P. (1987). Robust empirical Bayes estimation of means from stratified samples, J. Amer. Statist. Assoc., 82, 1153–1162.

    Google Scholar 

  • Ghosh, M. and Lahiri, P. (1988). Bayes and empirical Bayes analysis in multistage sampling, Statistical Decision Theory and Related Topics IV (eds. S. S. Gupta and J. O. Berger), pp. 195–212, Springer, New York.

    Google Scholar 

  • Mukhopadhyay, P. (1994). Prediction in finite population under error-in-variables superpopulation models, J. Statist. Plann. Inference, 41, 151–161.

    Google Scholar 

  • Zou, G. H. and Liang, H. (1997). Admissibility of the usual estimators under error-in-variables superpopulation model, Statist. Probab. Lett., 32, 301–309.

    Google Scholar 

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Zou, G., Wan, A.T.K. Simultaneous Estimation of Several Stratum Means under Error-in-Variables Superpopulation Models. Annals of the Institute of Statistical Mathematics 52, 380–396 (2000). https://doi.org/10.1023/A:1004178125187

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  • DOI: https://doi.org/10.1023/A:1004178125187

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