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Pré-Publication, Document De Travail Année : 2013

Local Convex Hull support and boundary estimation

Catherine Aaron
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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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Dates et versions

hal-00786393 , version 1 (08-02-2013)
hal-00786393 , version 2 (12-02-2013)
hal-00786393 , version 3 (02-12-2013)
hal-00786393 , version 4 (21-02-2014)
hal-00786393 , version 5 (19-12-2014)

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  • HAL Id : hal-00786393 , version 4

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Catherine Aaron. Local Convex Hull support and boundary estimation. 2013. ⟨hal-00786393v4⟩
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