A universal lower bound for the kernel estimate

DOI10.1016/0167-7152(89)90021-7zbMath0681.62042OpenAlexW2045754392MaRDI QIDQ1823583

Luc P. Devroye

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-7152(89)90021-7

zbMATH Keywords

inequalitiesempirical characteristic functionkernel density estimateL1-error

Mathematics Subject Classification ID

Nonparametric estimation (62G05)

Related Items (2)

Universal smoothing factor selection in density estimation: theory and practice. (With discussion) ⋮ Multiclass classification with potential function rules: margin distribution and generalization

Cites Work

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• Distribution-free lower bounds in density estimation
• Asymptotic performance bounds for the kernel estimate
• Mean square error properties of density estimates
• Mean integrated square error properties of density estimates
• Remarks on Some Nonparametric Estimates of a Density Function
• Estimation of Distribution Density Belonging to a Class of Entire Functions
• On the Estimation of the Probability Density, I
• On Estimation of a Probability Density Function and Mode
• A Useful Convergence Theorem for Probability Distributions

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