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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The Value Provided by a Scientific Explanation,ow, e.g., an explanation in the form of an abduction differs from a mere prediction in this regard. We apply this analysis to respond to a challenge posed by Glymour (Theory and Evidence. Princeton University Press, Princeton, 1980) regarding Bayesian confirmation of new theories using old data. Las

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Foundations For Temporal Reasoning Using Lower Previsions Without A Possibility Space,eference to a possibility space, in spirit of de Finetti’s treatment of probability, Goldstein’s Bayes linear analysis, and Williams’s treatment of lower and upper previsions. The aim of our framework is to formalize temporal reasoning, where we treat future beliefs as random quantities themselves.

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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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Playing with Sets of Lexicographic Probabilities and Sets of Desirable Gambles,this paper we examine marginalization, conditioning and convexity for sets of lexicographic probabilities and sets of desirable gambles, as well as their connections with full conditional probabilities.

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How to Assess Coherent Beliefs: A Comparison of Different Notions of Coherence in Dempster-Shafer T order to remove structural restrictions on the domain of the assessment. Three possible approaches to coherence are available: coherence as a consistency notion, coherence as fair betting scheme, and coherence in terms of penalty criterion. Due to its intimate connection with (finitely additive) pr

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On a Notion of Independence Proposed by Teddy Seidenfeld, of imprecision and indeterminacy in uncertain inference and decision making. It is at his insistence that we initiated our study of so-called sets of desirable option sets, which we have argued elsewhere provides an elegant and powerful approach to dealing with general, binary as well as non-binary

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