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Kernel density estimators: Convergence in distribution for weighted sup-norms

Probability Theory and Related Fields (2004) 130(2) 167-198
DOI: 10.1007/s00440-004-0339-x
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Abstract

Let fn denote a kernel density estimator of a bounded continuous density f in the real line. Let Ψ(t) be a positive continuous function such that ∥Ψfβ∥∞

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Giné, E., Koltchinskii, V., & Sakhanenko, L. (2004). Kernel density estimators: Convergence in distribution for weighted sup-norms. Probability Theory and Related Fields, 130(2), 167–198. https://doi.org/10.1007/s00440-004-0339-x

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