The e-value and the Full Bayesian Significance Test: From Logical Properties to Statistical Consequences
Author
Julio Stern
Co-author
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Carlos Alberto de Braganca Pereira
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Marcelo de Souza Lauretto
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Rafael Izbicki
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Rafael Bassi Stern
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Luis Gustavo Esteves
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Conference
65th ISI World Statistics Congress 2025
Format: IPS Abstract - WSC 2025
Session: IPS 921 - Measures of Evidence in a Bayesian Context, Applications and New Developments
Wednesday 8 October 2 p.m. - 3:40 p.m. (Europe/Amsterdam)
Abstract
This article gives a conceptual review of the e-value, ev(H |X) – the epistemic value of hypothesis H given observations X. This statistical significance measure was developed in order to allow logically coherent and consistent tests of hypotheses, including sharp or precise hypotheses, via the Full Bayesian Significance Test (FBST).
Arguments of analysis allow a full characterization of this statistical test by its logical or compositional properties, showing a mutual complementarity between results of mathematical statistics and the logical desiderata lying at the foundations of this theory.