On the Hilbert kernel density estimate

DOI10.1016/S0167-7152(99)00021-8zbMath0947.62025OpenAlexW2125976129MaRDI QIDQ1962207

Adam Krzyżak, Luc P. Devroye

Publication date: 30 January 2000

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(99)00021-8

zbMATH Keywords

convergencebandwidth selectionHilbert kernel estimatenearest-neighbor estimate

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

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Cites Work

• Weak convergence of \(k\)-NN density and regression estimators with varying \(k\) and applications
• On the almost everywhere convergence of nonparametric regression function estimates
• Consistency properties of nearest neighbor density function estimators
• The strong uniform consistency of nearest neighbor density estimates
• Multivariate k-nearest neighbor density estimates
• The Hilbert kernel regression estimate.
• An approximation to the density function
• Remarks on Some Nonparametric Estimates of a Density Function
• A Nonparametric Estimate of a Multivariate Density Function
• On Estimation of a Probability Density Function and Mode
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