Deconvolution of a cumulative distribution function with some non-standard noise densities

DOI10.1007/S10013-018-0308-9zbMath1429.62134OpenAlexW2889812309WikidataQ129231941 ScholiaQ129231941MaRDI QIDQ2273578

Cao Xuan Phuong, Dang Duc Trong

Publication date: 24 September 2019

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-018-0308-9

zbMATH Keywords

deconvolutioncumulative distribution functionnon-standard noise densities

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (4)

Nonparametric estimation of cumulative distribution function from noisy data in the presence of Berkson and classical errors ⋮ Deconvolution of cumulative distribution function with unknown noise distribution ⋮ Deconvolution problem of cumulative distribution function with heteroscedastic errors ⋮ Distribution estimation of a sum random variable from noisy samples

Cites Work

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• Deconvolution of \(P(X<Y)\) with supersmooth error distributions
• Adaptive density estimation in deconvolution problems with unknown error distribution
• Adaptive estimation of linear functionals in the convolution model and applications
• On deconvolution of distribution functions
• On the optimal rates of convergence for nonparametric deconvolution problems
• Estimation of distribution functions in measurement error models
• Ridge-parameter regularization to deconvolution problem with unknown error distribution
• Minimax theory of estimation of linear functionals of the deconvolution density with or without sparsity
• Deconvolving compactly supported densities
• A ridge-parameter approach to deconvolution
• Nonparametric function estimation under Fourier-oscillating noise
• Data-Driven Density Estimation in the Presence of Additive Noise with unknown Distribution
• A Consistent Estimator of a Component of a Convolution
• On the effect of estimating the error density in nonparametric deconvolution
• Deconvolution of a Distribution Function
• Consistent deconvolution in density estimation
• Tikhonov’s Regularization to the Deconvolution Problem
• Deconvolution from Fourier-oscillating error densities under decay and smoothness restrictions
• Note on the inversion theorem

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