Titlebook: Reflections on the Foundations of Probability and Statistics; Essays in Honor of T Thomas Augustin,Fabio Gagliardi Cozman,Gregory Whe Book

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Reflections on the Foundations of Probability and Statistics978-3-031-15436-2Series ISSN 0921-3384 Series E-ISSN 2352-2119

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An Interview with Teddy Seidenfeld,ks about what Henry Kyburg and Isaac Levi mean to him, the extensive collaboration with Jay Kadane and Mark Schervish, the foundation of statistics and decision making, indeterminate and imprecise probabilities and the SIPTA society

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Dilation and Informativeness,” on learning new evidence, and that is something that should not happen. This article explores several ways to make precise the idea of “informativeness” for a set of probabilities, and finds that this criticism of imprecise probability does not stand up to scrutiny.

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Coherent Choice Functions Without Archimedeanity,utility pairs when we let go of Archimedeanity. We show that the convexity property is necessary but not sufficient for a choice function to be an infimum of a class of lexicographic ones. For the special case of two-dimensional option spaces, we determine the necessary and sufficient conditions by weakening the Archimedean axiom.

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