Joint behaviour of semirecursive kernel estimators of the location and of the size of the mode of a probability density function

Simple item page
dc.creatorMokkadem, Abdelkader
dc.creatorPelletier, Mariane
dc.creatorThiam, Baba
dc.date2008-01-14
dc.date.accessioned2026-07-07T08:54:19Z
dc.date.available2026-07-07T08:54:19Z
dc.descriptionLet $θ$ and $μ$ denote the location and the size of the mode of a probability density. We study the joint convergence rates of semirecursive kernel estimators of $θ$ and $μ$. We show how the estimation of the size of the mode allows to measure the relevance of the estimation of its location. We also enlighten that, beyond their computational advantage on nonrecursive estimators, the semirecursive estimators are preferable to use for the construction on confidence regions.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0801.2070
dc.identifierhttp://arxiv.org/abs/0801.2070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145888
dc.subjectStatistics Theory
dc.subject62G07, 62G20
dc.titleJoint behaviour of semirecursive kernel estimators of the location and of the size of the mode of a probability density function
dc.typetext

Files

Collections

arXiv