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Repeated substitution method: The ratio estimator for the population variance

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Abstract

This paper proposes a new unbiased estimator for the population variance in finite population sample surveys using auxiliary information. This estimator has a smaller mean squared error than the conventional unbiased estimator, the ratio estimator established by Isaki (1983) and it has the same precision than the regression estimator. Furthermore, it is a much more interesting estimator from the computation viewpoint.

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References

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Garcia, M.R., Cebrian, A.A. Repeated substitution method: The ratio estimator for the population variance. Metrika 43, 101–105 (1996). https://doi.org/10.1007/BF02613900

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  • DOI: https://doi.org/10.1007/BF02613900

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