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dc.contributor.authorvan den Boogaart, Karl Gerald
dc.contributor.authorEgozcue Rubí, Juan José
dc.contributor.authorPawlowsky Glahn, Vera
dc.date.accessioned2011-10-28T14:54:46Z
dc.date.available2011-10-28T14:54:46Z
dc.date.issued2010
dc.identifier.citationVan den Boogaart, Karl Gerald; Egozcue, Juan José; Pawlowsky Glahn, Vera. Bayes linear spaces. "SORT", vol. 34, núm. 2, p. 201-222.
dc.identifier.issn1696-2281
dc.identifier.urihttp://hdl.handle.net/2099/11227
dc.description.abstractLinear spaces consisting of -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.
dc.format.extent22 p.
dc.language.isoeng
dc.publisherInstitut d'Estadística de Catalunya
dc.relation.ispartofSORT. 2010, vol. 34, núm. 2
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Estadística aplicada
dc.subject.lcshProbabilities
dc.subject.otherAitchison geometry
dc.subject.otherCompositional data
dc.subject.otherExponential families
dc.subject.otherLikelihood functions
dc.subject.otherProbability measures
dc.subject.otherRadon-Nikodym derivative
dc.titleBayes linear spaces
dc.typeArticle
dc.subject.lemacProbabilitats
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::60 Probability theory and stochastic processes::60A Foundations of probability theory
dc.subject.amsClassificació AMS::62 Statistics::62E Distribution theory
dc.rights.accessOpen Access
local.citation.authorVan den Boogaart, Karl Gerald; Egozcue, Juan José; Pawlowsky Glahn, Vera
local.citation.publicationNameSORT
local.citation.volume34
local.citation.number2
local.citation.startingPage201
local.citation.endingPage222


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