Borges, Wagner and Stern, Julio Michael (2007) The Rules of Logic Composition for the Bayesian Epistemic e-Values. [Preprint]
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Abstract
In this paper, the relationship between the e-value of a complex hypothesis, H, and those of its constituent elementary hypotheses, Hj, j =1...k, is analyzed, in the independent setup. The e-value of a hypothesis H, ev(H) is a Bayesian epistemic, credibility or truth value defined under the Full Bayesian Significance Testing (FBST) mathematical apparatus. The questions addressed concern the important issue of how the truth value of H, and the truth function of the corresponding FBST structure M, relate to the truth values of its elementary constituents, Hj , and to the truth functions of their corresponding FBST strctures, Mj, respectively.
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Item Type: | Preprint | |||||||||
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Additional Information: | Compiled from the author's preprint LaTeX file | |||||||||
Keywords: | Bayesian models; Belief Calculi; Complex hypotheses; Compositionality; Convolution; Epistemic values; Possibilistic and Probabilistic reasoning; Significance tests; Truth functions. | |||||||||
Subjects: | General Issues > Scientific Metaphysics General Issues > Confirmation/Induction General Issues > Evidence General Issues > Laws of Nature Specific Sciences > Probability/Statistics |
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Depositing User: | Prof. Julio Michael Stern | |||||||||
Date Deposited: | 31 Mar 2023 12:31 | |||||||||
Last Modified: | 31 Mar 2023 12:31 | |||||||||
Item ID: | 21924 | |||||||||
Journal or Publication Title: | Logic Journal of IGPL | |||||||||
Official URL: | http://doi.org/10.1093/jigpal/jzm032 | |||||||||
DOI or Unique Handle: | 10.1093/jigpal/jzm032 | |||||||||
Subjects: | General Issues > Scientific Metaphysics General Issues > Confirmation/Induction General Issues > Evidence General Issues > Laws of Nature Specific Sciences > Probability/Statistics |
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Date: | 2007 | |||||||||
Page Range: | pp. 401-420 | |||||||||
Volume: | 15 | |||||||||
Number: | 5-6 | |||||||||
ISSN: | 1367-0751 | |||||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/21924 |
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