Comparison of Finite Experiments

  • H. Heyer
Part of the Springer Series in Statistics book series (SSS)

Abstract

In Section 19 we dealt with general decision problems of the form \( \bar{{\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{D}}} = (I,D,V) \)= (I,D,V), where I: = (ΩI,AI) and D: = (ΩD,AD) denoted measurable spaces and V a set of separately measurable functions on ΩI × ΩD. From now on, and for the remainder of the chapter, we shall specialize the general framework in two steps: First we shall restrict our attention to decision problems of the form <Inline>2</Inline>k(I): = (I,Dk,V) with Dk: = {1,…,k} (k ≥1) as the decision space and the set V of all bounded, separately measurable functions on ΩI × ΩD as the set of loss functions. Later we shall consider decision problems of the form \( {\bar{{\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{D}}}_k}\,(I): = (I,{D_k},V) \)k (In) with In = {l, …, n} (n ≥ 1).

Keywords

Hull 

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Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • H. Heyer
    • 1
  1. 1.Mathematisches InstitutUniversität TübingenTübingen 1West Germany

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