Adaptive deconvolution of linear functionals on the nonnegative real line

DOI10.1016/J.JSPI.2016.04.006zbMath1345.62064OpenAlexW2130544405MaRDI QIDQ313097

Gwennaëlle Mabon

Publication date: 9 September 2016

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2016.04.006

zbMATH Keywords

deconvolutionlinear functionalsadaptive estimationnonparametric density estimationLaguerre basismean squared risk

Mathematics Subject Classification ID

Density estimation (62G07) Linear inference, regression (62J99) Nonparametric inference (62G99)

Related Items (10)

Estimating the Gerber-Shiu function in a Lévy risk model by Laguerre series expansion ⋮ Adaptive deconvolution of linear functionals on the nonnegative real line ⋮ Estimating the Gerber-Shiu function under a risk model with stochastic income by Laguerre series expansion ⋮ A new efficient method for estimating the Gerber–Shiu function in the classical risk model ⋮ Estimation in nonparametric regression model with additive and multiplicative noise via Laguerre series ⋮ Nonparametric empirical Bayes estimation based on generalized Laguerre series ⋮ Deconvolution problem of cumulative distribution function with heteroscedastic errors ⋮ Linear functional estimation under multiplicative measurement error ⋮ Laguerre deconvolution with unknown matrix operator ⋮ Estimating the Gerber-Shiu function in the perturbed compound Poisson model by Laguerre series expansion

Uses Software

• CAPUSHE

Cites Work

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• Adaptive deconvolution of linear functionals on the nonnegative real line
• Minimal penalty for Goldenshluger-Lepski method
• Adaptive density estimation in deconvolution problems with unknown error distribution
• Adaptive estimation of linear functionals in the convolution model and applications
• Bandwidth selection in kernel density estimation: oracle inequalities and adaptive minimax optimality
• Slope heuristics: overview and implementation
• On the optimal rates of convergence for nonparametric deconvolution problems
• Deconvolution with unknown error distribution
• Isotonic inverse estimators for nonparametric deconvolution
• A note on nonparametric estimation of linear functionals.
• Adaptive wavelet estimator for nonparametric density deconvolution
• Adaptive estimation of linear functionals under different performance measures
• Adaptive estimation of linear functionals by model selection
• Nonparametric estimation of mixing densities for discrete distributions
• Minimal penalties for Gaussian model selection
• Data-Driven Density Estimation in the Presence of Additive Noise with unknown Distribution
• Penalized contrast estimator for adaptive density deconvolution
• Sharp Optimality in Density Deconvolution with Dominating Bias. I
• Sharp Optimality in Density Deconvolution with Dominating Bias. II
• What is a Sobolev space for the Laguerre function systems?
• Optimal Rates of Convergence for Deconvolving a Density
• Exponential deconvolution: two asymptotically equivalent estimators
• On the effect of estimating the error density in nonparametric deconvolution
• Density estimation in the uniform deconvolution model

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