Density estimation in the presence of noise

DOI10.1016/S0167-7152(98)00160-6zbMath0931.62033OpenAlexW1976319692MaRDI QIDQ1304096

Gilbert G. Walter

Publication date: 11 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(98)00160-6

zbMATH Keywords

waveletsdeconvolution

Mathematics Subject Classification ID

Density estimation (62G07) Central limit and other weak theorems (60F05)

Related Items (18)

Density deconvolution based on wavelets with bounded supports ⋮ On anL₁Consistent Wavelet Density Estimator for the Deconvolution Problem ⋮ Wavelet estimations for densities and their derivatives with Fourier oscillating noises ⋮ Point-wise estimation for anisotropic densities ⋮ A note on wavelet density deconvolution for weakly dependent data ⋮ A data-driven wavelet estimator for deconvolution density estimations ⋮ Generalized deconvolution estimation by multiwavelets ⋮ Wavelet optimal estimations for a multivariate probability density function under weighted distribution ⋮ Point-wise wavelet estimation in the convolution structure density model ⋮ Wavelet optimal estimations for a density with some additive noises ⋮ Optimal iterative density deconvolution ⋮ Adaptive and optimal pointwise deconvolution density estimations by wavelets ⋮ Central limit theorem for a wavelet estimator of a probability density with a given weight ⋮ Semiparametric Density Deconvolution ⋮ ON A STRONGLY CONSISTENT WAVELET DENSITY ESTIMATOR FOR THE DECONVOLUTION PROBLEM ⋮ 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

Cites Work

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• Density estimation by wavelet thresholding
• Ten Lectures on Wavelets
• Continuous non-negative wavelets and their use in density estimation
• Construction of Sequences Estimating the Mixing Distribution
• Deconvolution using Meyer wavelets

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