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The Rules of Logic Composition for the Bayesian Epistemic e-Values

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
Creators:
CreatorsEmailORCID
Borges, Wagner
Stern, Julio Michael0000-0003-2720-3871
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
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
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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