Revistes Publicacions URV: SORT - Statistics and Operations Research Transactions> 2018

Evidence functions: a compositional approach to information

  • Dades identificatives

    Identificador: RP:3068
    Handle: https://hdl.handle.net/20.500.11797/RP3068
    Autors:
    Pawlowsky-Glahn, VeraEgozcue, Juan-José
    Resum:
    The discrete case of Bayes’ formula is considered the paradigm of information acquisition. Prior and posterior probability functions, as well as likelihood functions, called evidence functions, are compositions following the Aitchison geometry of the simplex, and have thus vector character. Bayes’ formula becomes a vector addition. The Aitchison norm of an evidence function is introduced as a scalar measurement of information. A fictitious fire scenario serves as illustration. Two different inspections of affected houses are considered. Two questions are addressed: (a) which is the information provided by the outcomes of inspections, and (b) which is the most informative inspection.

  • Altres:

    Autor/s de la URV: Pawlowsky-Glahn, Vera Egozcue, Juan-José
    Paraules clau: Evidence function, Bayes’ formula, Aitchison geometry, compositions, orthonormal basis, simplex, scalar information
    Resum: The discrete case of Bayes’ formula is considered the paradigm of information acquisition. Prior and posterior probability functions, as well as likelihood functions, called evidence functions, are compositions following the Aitchison geometry of the simplex, and have thus vector character. Bayes’ formula becomes a vector addition. The Aitchison norm of an evidence function is introduced as a scalar measurement of information. A fictitious fire scenario serves as illustration. Two different inspections of affected houses are considered. Two questions are addressed: (a) which is the information provided by the outcomes of inspections, and (b) which is the most informative inspection.
    Any de publicació de la revista: 2018
    Tipus de publicació: info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article

  • Paraules clau:

    Evidence function, Bayes’ formula, Aitchison geometry, compositions, orthonormal basis, simplex, scalar information

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