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Admissible estimation of linear functions of characteristic values of a finite population

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Abstract

The problem on admissibility of estimators is considered based on the point of view of the superpopulation model. The necessary and sufficient conditions for linear estimators of an arbitrary linear function of characteristic values of a finite population to be admissible in the class of linear or all estimators are obtained respectively.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, China

    Guohua Zou

  2. Institute of Systems Science, Chinese Academy of Sciences, 100080, Beijing, China

    Ping Cheng & Shiyong Feng

Authors
  1. Guohua Zou
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  2. Ping Cheng
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  3. Shiyong Feng
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Project supported by the National Natural Science Foundation of China.

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Zou, G., Cheng, P. & Feng, S. Admissible estimation of linear functions of characteristic values of a finite population. Sci. China Ser. A-Math. 40, 598–605 (1997). https://doi.org/10.1007/BF02876063

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  • DOI: https://doi.org/10.1007/BF02876063

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