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  1. The Rules of Logic Composition for the Bayesian Epistemic e-Values.Wagner Borges & Julio Michael Stern - 2007 - Logic Journal of the IGPL 15 (5-6):401-420.
    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, is a Bayesian epistemic, credibility or truth value defined under the Full Bayesian Significance Testing 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 (...)
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  • Testing the Independence of Poisson Variates under the Holgate Bivariate Distribution: The Power of a New Evidence Test.Julio Michael Stern & Shelemyahu Zacks - 2002 - Statistics and Probability Letters 60:313-320.
    A new Evidence Test is applied to the problem of testing whether two Poisson random variables are dependent. The dependence structure is that of Holgate’s bivariate distribution. These bivariate distribution depends on three parameters, 0 < theta_1, theta_2 < infty, and 0 < theta_3 < min(theta_1, theta_2). The Evidence Test was originally developed as a Bayesian test, but in the present paper it is compared to the best known test of the hypothesis of independence in a frequentist framework. It is (...)
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  • Cognitive Constructivism, Eigen-Solutions, and Sharp Statistical Hypotheses.Julio Michael Stern - 2007 - Cybernetics and Human Knowing 14 (1):9-36.
    In this paper epistemological, ontological and sociological questions concerning the statistical significance of sharp hypotheses in scientific research are investigated within the framework provided by Cognitive Constructivism and the FBST (Full Bayesian Significance Test). The constructivist framework is contrasted with the traditional epistemological settings for orthodox Bayesian and frequentist statistics provided by Decision Theory and Falsificationism.
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