Bounds for Bayesian order identification with application to mixtures

dc.creatorChambaz, Antoine
dc.creatorRousseau, Judith
dc.date2008-04-04
dc.date.accessioned2026-07-07T12:18:08Z
dc.date.available2026-07-07T12:18:08Z
dc.descriptionThe efficiency of two Bayesian order estimators is studied. By using nonparametric techniques, we prove new underestimation and overestimation bounds. The results apply to various models, including mixture models. In this case, the errors are shown to be $O(e^{-an})$ and $O((\log n)^b/\sqrt{n})$ ($a,b>0$), respectively.
dc.descriptionPublished in at http://dx.doi.org/10.1214/009053607000000857 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0804.0768
dc.identifierhttp://arxiv.org/abs/0804.0768
dc.identifierAnnals of Statistics 2008, Vol. 36, No. 2, 938-962
dc.identifierdoi:10.1214/009053607000000857
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212306
dc.subjectStatistics Theory
dc.titleBounds for Bayesian order identification with application to mixtures
dc.typetext

Files

Collections