Weighted uniform consistency of kernel density estimators
Open Access
- 1 July 2004
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Probability
- Vol. 32 (3B) , 2570-2605
- https://doi.org/10.1214/009117904000000063
Abstract
Let fn denote a kernel density estimator of a continuous density f in d dimensions, bounded and positive. Let Ψ(t) be a positive continuous function such that ‖Ψfβ‖∞<∞ for some 0<βX). The results apply as well to some discontinuous not strictly positive densities.Keywords
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