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Bias reduction and efficiency of reconstructed ratio estimators for a finite universe

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Summary

The bias of ratio estimators based on a simple random sample ofn units drawn from a finite universe ofN units, and reconstructed according to, or in ways similar to Quenouille's method, is of order 1/n only ifN≧n 2, and of order 1/n Q, where 1<Q<2, ifN<n 2. Further it is shown that the device of splitting samples, either for bias reduction and/or convenience of variance estimation, except for the special case noted in the paper, yields estimators that are inefficient and can be improved.

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Authors and Affiliations

  1. Research Triangle Institute, North Carolina

    J. C. Koop

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  1. J. C. Koop
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Koop, J.C. Bias reduction and efficiency of reconstructed ratio estimators for a finite universe. Ann Inst Stat Math 28, 461–467 (1976). https://doi.org/10.1007/BF02504762

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  • DOI: https://doi.org/10.1007/BF02504762

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