| Data: |
2010 |
| Resum: |
Linear spaces consisting of o-finite probability measures and infinite measures (improper priors and likelihood functions) are defined. The commutative group operation, called perturbation, is the updating given by Bayes theorem; the inverse operation is the Radon-Nikodym derivative. Bayes spaces of measures are sets of classes of proportional measures. In this framework, basic notions of mathematical statistics get a simple algebraic interpretation. For example, exponential families appear as affine subspaces with their sufficient statistics as a basis. Bayesian statistics, in particular some well-known properties of conjugated priors and likelihood functions, are revisited and slightly extended. |
| Drets: |
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial 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.  |
| Llengua: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Matèria: |
Aitchison geometry ;
Compositional data ;
Exponential families ;
Likelihood functions ;
Probability measures ;
Radon-Nikodym derivative |
| Publicat a: |
SORT : statistics and operations research transactions, Vol. 34, Núm. 2 (July-December 2010) , p. 201-222, ISSN 2013-8830 |
visitant ::
identificació
