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Coexistence of Symmetry Properties for Bayesian Confirmation Measures

Author

Listed:
  • Emilio Celotto

    (Department of Management, Ca' Foscari University of Venice)

  • Andrea Ellero

    (Department of Management, Ca' Foscari University of Venice)

  • Paola Ferretti

    (Department of Economics, Ca' Foscari University of Venice)

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.

Suggested Citation

  • Emilio Celotto & Andrea Ellero & Paola Ferretti, 2018. "Coexistence of Symmetry Properties for Bayesian Confirmation Measures," Working Papers 2018:17, Department of Economics, University of Venice "Ca' Foscari".
    • Handle: RePEc:ven:wpaper:2018:17
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    More about this item

    Keywords

    Bayesian Confirmation Measures; symmetries; dihedral group; desirability;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C80 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - General

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