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Bayes spaces: use of improper distributions and exponential families

Autor
Egozcue, J. J.; Pawlowsky, V.; Tolosana-Delgado, R.; Ortego, M.I.; van den Boogaart, K.G.
Tipus d'activitat
Article en revista
Revista
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas
Data de publicació
2013
Volum
107
Número
2
Pàgina inicial
475
Pàgina final
486
DOI
https://doi.org/10.1007/s13398-012-0082-6 Obrir en finestra nova
Projecte finançador
2009SGR424
CODA-RSS
Ingenio Mathematica (i-MATH)
URL
http://cataleg.upc.edu/record=b1217390~S1*cat Obrir en finestra nova
Resum
Bayes spaces are vector spaces of sigma-additive positive measures. Proportional measures are considered equivalent and can be represented by densities with respect to a fixed dominating measure. The addition in these spaces is perturbation. It corresponds to Bayes theorem, which appears as a linear operation. Bayes spaces, with continuous dominating measures, contain finite and infinite measures. Finite measures are equivalent to probability measures. Infinite measures include what in Bayesian ...
Paraules clau
Aitchison geometry, Derivative, Sensitivity, Simplex
Grup de recerca
LIM/UPC - Laboratori d'Enginyeria Marítima
NRG - Riscos Naturals i Geoestadística

Participants