Journal Article

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

Wagner Borges and Julio Michael Stern

in Logic Journal of the IGPL

Volume 15, issue 5-6, pages 401-420
Published in print October 2007 | ISSN: 1367-0751
Published online October 2007 | e-ISSN: 1368-9894 | DOI: http://dx.doi.org/10.1093/jigpal/jzm032
The Rules of Logic Composition for the Bayesian Epistemic e-Values

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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 structures Mj, respectively.

Keywords: Bayesian models; Belief Calculi; Complex hypotheses; Compositionality; Convolution; Epistemic values; Possibilistic and Probabilistic reasoning; Significance tests; Truth functions.

Journal Article.  0 words. 

Subjects: Logic

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