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A new proof of admissibility of tests in the multivariate analysis of variance

Author

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  • Anderson, T. W.
  • Takemura, Akimichi

Abstract

A new proof of admissibility of tests in MANOVA is given using Stein's theorem [7]. The convexity condition of Stein's theorem is proved directly by means of majorization rather than by the supporting hyperplane approach. This makes the geometrical meaning of the admissibility result clearer.

Suggested Citation

  • Anderson, T. W. & Takemura, Akimichi, 1982. "A new proof of admissibility of tests in the multivariate analysis of variance," Journal of Multivariate Analysis, Elsevier, vol. 12(4), pages 457-468, December.
    • Handle: RePEc:eee:jmvana:v:12:y:1982:i:4:p:457-468
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    Cited by:

    1. Kumon, Masayuki & Takemura, Akimichi & Takeuchi, Kei, 2011. "Sequential optimizing strategy in multi-dimensional bounded forecasting games," Stochastic Processes and their Applications, Elsevier, vol. 121(1), pages 155-183, January.

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