Web of Science: 2 citations, Scopus: 2 citations, Google Scholar: citations,
Evidence functions : a compositional approach to information
Egozcue, Juan José (Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental)
Pawlowsky-Glahn, Vera (Universitat de Girona. Departament d'Informàtica i Matemàtica Aplicada)

Date: 2018
Abstract: 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.
Rights: Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. Creative Commons
Language: Anglès
Document: article ; recerca ; publishedVersion
Subject: Evidence function ; Bayes' formula ; Aitchison geometry ; Compositions ; Orthonormal basis ; Simplex ; Scalar information
Published in: SORT : statistics and operations research transactions, Vol. 42 Núm. 2 (July-December 2018) , p. 101-124 (Invited articles) , ISSN 2013-8830

Adreça original: https://www.raco.cat/index.php/SORT/article/view/347335
Adreça alternativa: https://www.raco.cat/index.php/SORT/article/view/347335/438494
DOI: 10.2436/20.8080.02.71

24 p, 432.6 KB

The record appears in these collections:
Articles > Published articles > SORT
Articles > Research articles

 Record created 2019-01-08, last modified 2020-08-08

   Favorit i Compartir