Coexistence of Symmetry Properties for Bayesian Confirmation Measures

16 Pages Posted: 10 Jul 2018

See all articles by Emilio Celotto

Emilio Celotto

Ca Foscari University of Venice - Department of Management

Andrea Ellero

Ca Foscari University of Venice - Department of Management

Paola Ferretti

Ca Foscari University of Venice - Dipartimento di Economia

Date Written: June 28, 2018

Abstract

Many Bayesian Confirmation Measures have been proposed so far. They are used to assess the degree to which an evidence (or premise) E supports or contradicts an hypothesis (or conclusion) H, making use of prior probability P(H), posterior probability P(H|E) and of probability of evidence P(E). Many kinds of comparisons of those measures have already been made. Here we focus on symmetry properties of confirmation measures, which are partly inspired by classical geometric symmetries. We define symmetries relating them to the dihedral group of symmetries of the square, determining the symmetries that can coexist and reconsidering desirable/undesirable symmetry properties for a Bayesian Confirmation Measure.

Keywords: Bayesian Confirmation Measures, symmetries, dihedral group, desirability

JEL Classification: C10, C44, C80

Suggested Citation

Celotto, Emilio and Ellero, Andrea and Ferretti, Paola, Coexistence of Symmetry Properties for Bayesian Confirmation Measures (June 28, 2018). University Ca' Foscari of Venice, Dept. of Economics Research Paper Series No. 17/WP/2018, Available at SSRN: https://ssrn.com/abstract=3204186 or http://dx.doi.org/10.2139/ssrn.3204186

Emilio Celotto

Ca Foscari University of Venice - Department of Management ( email )

San Giobbe, Cannaregio 873
Venice, 30121
Italy

Andrea Ellero

Ca Foscari University of Venice - Department of Management ( email )

San Giobbe, Cannaregio 873
Venice, 30121
Italy

Paola Ferretti (Contact Author)

Ca Foscari University of Venice - Dipartimento di Economia ( email )

Cannaregio 873
Venice, 30121
Italy
+39-041-2346923 (Phone)

HOME PAGE: http://www.unive.it

Do you have a job opening that you would like to promote on SSRN?

Paper statistics

Downloads
16
Abstract Views
437
PlumX Metrics