The mean consistency of wavelet density estimators

DOI10.1186/s13660-015-0636-1zbMath1334.42069OpenAlexW1975450960WikidataQ59435634 ScholiaQ59435634MaRDI QIDQ2340933

Zijuan Geng, Jin Ru Wang

Publication date: 21 April 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0636-1

zbMATH Keywords

consistencywaveletdensity estimationrandom noise\(L_{p}\) norm

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (3)

Wavelet estimation for derivative of a density in the presence of additive noise ⋮ Wavelet density deconvolution estimations with heteroscedastic measurement errors ⋮ Strong Lp convergence of wavelet deconvolution density estimators

Cites Work

• Wavelet density estimation for stratified size-biased sample
• Density estimation in Besov spaces
• Wavelets, approximation, and statistical applications
• Density estimation by wavelet thresholding
• On wavelet methods for estimating smooth functions
• Wavelet optimal estimations for a density with some additive noises
• A consistent nonparametric density estimator for the deconvolution problem
• Ten Lectures on Wavelets
• Wavelet deconvolution
• Consistent deconvolution in density estimation
• Almost sure classification of densities
• On theL₁-consistency of wavelet density estimates

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