Remarks on admissibility of decision functions

  • Tokitake Kusama


Lower Semicontinuity Decision Function Linear Functional Pointwise Convergence Lower Semicontinuous Function 
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  1. [1]
    C. Stein, “A necessary and sufficient condition for admissibility,”Ann. Math. Statist., 26 (1955), 518–522.MATHCrossRefMathSciNetGoogle Scholar
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    N. Bourbaki,Espaces Vectoriels Topologiques, Paris, (1953), 70–74.Google Scholar
  3. [3]
    L. LeCam, “An extension of Wald’s theory of statistical decision functions,”Ann. Math. Statist., 26 (1955), 69–81.CrossRefMathSciNetGoogle Scholar
  4. [4]
    P. R. Halmos,Measure Theory, New York, 1950.Google Scholar
  5. [5]
    J. L. Kelley,General Topology, New York, (1955), 232.Google Scholar

Copyright information

© Institute of Statistical Mathematics 1966

Authors and Affiliations

  • Tokitake Kusama
    • 1
  1. 1.Waseda UniversityUSA

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