Local Convex Hull support and boundary estimation
Résumé
In this paper we study a new estimator for the support of a multivariate density. It is defined as a union of convex-hulls of observations contained in small balls. We study the asymptotic behavior of this ''local convex hull" as an estimator of the support and the asymptotic behaviors of its boundary as an estimator of the boundary of the support. We analyze as well its ''topology-preserving" properties.
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