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On the Grenander Estimator at Zero

dc.contributor.authorBalabdaoui, Fadoua
dc.contributor.authorJankowski, Hanna
dc.contributor.authorPavlides, Marios
dc.contributor.authorSeregin, Arseni
dc.contributor.authorWellner, Jon
dc.date.accessioned2013-10-15T14:51:14Z
dc.date.available2013-10-15T14:51:14Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11847
dc.language.isoenen
dc.subjectConvex analysisen
dc.subjectinconsistencyen
dc.subjectlimit distributionen
dc.subjectmaximum likelihooden
dc.subjectmixture distributionsen
dc.subjectmonotone densityen
dc.subjectnonparametric estimationen
dc.subjectPoisson processen
dc.subjectrate of growthen
dc.subjectswitching relationsen
dc.subject.ddc519en
dc.titleOn the Grenander Estimator at Zeroen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe establish limit theory for the Grenander estimator of a monotone density near zero. In particular we consider the situation when the true density $f_0$ is unbounded at zero, with different rates of growth to infinity. In the course of our study we develop new switching relations using tools from convex analysis. The theory is applied to a problem involving mixtures.en
dc.relation.isversionofjnlnameStatistica Sinica
dc.relation.isversionofjnlvol21en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages873-900en
dc.relation.isversionofjnlpublisherInstitute of Statistical Scienceen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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