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On uniformly minimum variance unbiased estimation when no complete sufficient statistics exist

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Summary

A simple generalization of the Lehmann-Scheffé theorem is given. It is used to find cases when UMVUE's exist but complete sufficient statistics do not. Another method to find such cases is also presented.

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Authors and Affiliations

  1. Department of Mathematical Statistics, University of Umeå, s-901 87, Umea

    L. Bondesson

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  1. L. Bondesson
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Bondesson, L. On uniformly minimum variance unbiased estimation when no complete sufficient statistics exist. Metrika 30, 49–54 (1983). https://doi.org/10.1007/BF02056900

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  • DOI: https://doi.org/10.1007/BF02056900

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