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On estimating the variance of a finite population

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Summary

Observing that the estimator for a “finite population variance” as recommended byLiu [1974a, b] can sometimes become negative, we suggest a few non-negative alternative estimators and note some of their properties. UnlikeLiu we follow the conventional Bayesian approach to get another estimator with an optimal property of “uniform admissibility”.

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References

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Authors and Affiliations

  1. c.s.u. Indian Statistical Institute Calcutta 203, B.T. Road, 700035, Calcutta, India

    A. Chaudhuri

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  1. A. Chaudhuri
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This paper, however, was prepared when the author worked in the Department of Economic Statistics, University of Sydney.

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Chaudhuri, A. On estimating the variance of a finite population. Metrika 25, 65–76 (1978). https://doi.org/10.1007/BF02204352

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  • DOI: https://doi.org/10.1007/BF02204352

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