The Rules of Logic Composition for the Bayesian Epistemic e-Values
Wagner de Souza Borges, Julio Michael Stern · Logic Journal of IGPL · 2007
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.