Density deconvolution based on wavelets with bounded supports

DOI10.1016/S0167-7152(01)00176-6zbMath0994.62027MaRDI QIDQ1612999

Marianna Pensky

Publication date: 5 September 2002

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

zbMATH Keywords

deconvolutionthresholding

Mathematics Subject Classification ID

Density estimation (62G07) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (12)

Point-wise estimation for anisotropic densities ⋮ Wavelet optimal estimations for a multivariate probability density function under weighted distribution ⋮ Deconvolution estimation of mixture distributions with boundaries ⋮ Point-wise wavelet estimation in the convolution structure density model ⋮ Estimation of distributions, moments and quantiles in deconvolution problems ⋮ Adaptive and optimal pointwise deconvolution density estimations by wavelets ⋮ Finite sample penalization in adaptive density deconvolution ⋮ Nonparametric Kernel Methods with Errors-in-Variables: Constructing Estimators, Computing them, and Avoiding Common Mistakes ⋮ Pointwise wavelet estimation of regression function based on biased data ⋮ Pointwise density estimation for biased sample ⋮ A pointwise lower bound for generalized deconvolution density estimation ⋮ Penalized contrast estimator for adaptive density deconvolution

Cites Work

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• Formulae for mean integrated squared error of nonlinear wavelet-based density estimators
• Adapting to Unknown Smoothness via Wavelet Shrinkage
• Optimal Rates of Convergence for Deconvolving a Density
• Wavelet decomposition approaches to statistical inverse problems

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