On distribution of error of linear wavelet estimator of probability density

DOI10.1007/S10986-005-0021-8zbMath1100.62043OpenAlexW2064359011MaRDI QIDQ852266

J. M. dos Reis Gama, V. V. Jurinskii

Publication date: 28 November 2006

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-005-0021-8

zbMATH Keywords

central limit theoremdensity estimatorsquared error

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Cites Work

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• Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm
• Performance of wavelet methods for functions with many discontinuities
• Optimal bounds in non-Gaussian limit theorems for \(U\)-statistics
• Density estimation by wavelet thresholding
• Optimal rates of convergence in the CLT for quadratic forms
• Ten Lectures on Wavelets
• Basic wavelet theory
• Normal Approximation of U-Statistics in Hilbert Space
• Bounds on Moments of Certain Random Variables

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