, Volume 30, Issue 1, pp 49–54 | Cite as

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

  • L. Bondesson


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.


Unbiased Estimator Simple Generalization Random Mechanism Convex Loss Function Minimal Sufficient Statistic 
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Copyright information

© Physica-Verlag 1983

Authors and Affiliations

  • L. Bondesson
    • 1
  1. 1.Department of Mathematical StatisticsUniversity of UmeåUmea

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