Closures of exponential families

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dc.creatorCsiszar, Imre
dc.creatorMatus, Frantisek
dc.date2005-03-29
dc.date.accessioned2026-07-07T05:18:35Z
dc.date.available2026-07-07T05:18:35Z
dc.descriptionThe variation distance closure of an exponential family with a convex set of canonical parameters is described, assuming no regularity conditions. The tools are the concepts of convex core of a measure and extension of an exponential family, introduced previously by the authors, and a new concept of accessible faces of a convex set. Two other closures related to the information divergence are also characterized.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117904000000766 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0503653
dc.identifierhttp://arxiv.org/abs/math/0503653
dc.identifierAnnals of Probability 2005, Vol. 33, No. 2, 582-600
dc.identifierdoi:10.1214/009117904000000766
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74709
dc.subjectProbability
dc.subject60A10 (Primary) 60B10\sep62B10\sep52A20 (Secondary)
dc.titleClosures of exponential families
dc.typetext

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