Titlebook: Lectures on Choquet‘s Theorem; Robert R. Phelps Book 2001Latest edition Springer-Verlag Berlin Heidelberg 2001 Choquet‘s Theorem.Compact c

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Orderings and dilations of measures, for each continuous convex function . on .. For finite dimensional spaces ., this ordering has long been of interest in statistics; it is used to defined “comparison of experiments.” A characterization in terms of . (defined below) has been given by Hardy, Littlewood, and Polya for one dimensional

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Additional Topics,ress of Mathematicians, and the paper [22] by Choquet and Meyer gives an elegant and very concise treatment of the main parts of the theory. Bauer’s lecture notes [6] contain a detailed development which starts from the very beginning, using (as do Choquet and Meyer) his “potential theoretic” approa

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