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Stein's positive part estimator and bayes estimator

  • Yoshikazu Takada
Article

Summary

Stein's positive part estimator forp normal means is known to dominate the M.L.E. ifp≧3. In this article by introducing some proirs we show that Stein's positive part estimator is posterior mode. We also consider the Bayes estimators (posterior mean) with respect to the same priors and show that some of them dominate M.L.E. and are admissible.

Keywords

Stein Multivariate Normal Distribution Balance Incomplete Block Design Posterior Mode Quadratic Loss Function 

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References

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Copyright information

© The Institute of Statistical Mathematics, Tokyo 1979

Authors and Affiliations

  • Yoshikazu Takada
    • 1
  1. 1.University of TsukubaTsukubaJapan

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