On optimal kernel choice for deconvolution

DOI10.1016/j.spl.2006.04.016zbMath1099.62035OpenAlexW2095117752MaRDI QIDQ2507702

Aurore Delaigle, Hall, Peter

Publication date: 5 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.spl.2006.04.016

zbMATH Keywords

inverse problembandwidthill-posed problemmean integrated squared errorkernel density estimationstatistical smoothingnon-parametric curve estimation

Mathematics Subject Classification ID

Density estimation (62G07)

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Cites Work

• Smooth optimum kernel estimators of densities, regression curves and modes
• On the optimal rates of convergence for nonparametric deconvolution problems
• Practical bandwidth selection in deconvolution kernel density estimation
• Canonical kernels for density estimation
• Asymptotically optimum kernels for density estimation at a point
• Bias correction and higher order kernel functions
• Renormalization exponents and optimal pointwise rates of convergence
• Hierarchies of higher order kernels
• Finite sample performance of deconvolving density estimators
• Bootstrap bandwidth selection in kernel density estimation from a contaminated sample
• Deconvolving kernel density estimators
• Optimal Rates of Convergence for Deconvolving a Density
• Optimizing Kernel Methods: A Unifying Variational Principle
• Deconvolution with supersmooth distributions
• Data-driven deconvolution
• Minimax kernels for nonparametric curve estimation
• Computationally efficient classes of higher‐order kernel functions
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