Rate-optimal nonparametric estimation in classical and Berkson errors-in-variables problems

DOI10.1016/j.jspi.2010.05.020zbMath1197.62035OpenAlexW2047295139MaRDI QIDQ710758

Alexander Meister, Aurore Delaigle

Publication date: 22 October 2010

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.2010.05.020

zbMATH Keywords

bandwidthdeconvolutionkernel methodsmeasurement errorminimax convergence rateslocal polynomial

Mathematics Subject Classification ID

Related Items (5)

Nonparametric estimation of cumulative distribution function from noisy data in the presence of Berkson and classical errors ⋮ Nonparametric errors in variables models with measurement errors on both sides of the equation ⋮ Estimation of nonparametric regression models with a mixture of Berkson and classical errors ⋮ Rate-optimal nonparametric estimation in classical and Berkson errors-in-variables problems ⋮ Nonparametric Kernel Methods with Errors-in-Variables: Constructing Estimators, Computing them, and Avoiding Common Mistakes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rate-optimal nonparametric estimation in classical and Berkson errors-in-variables problems
• On the optimal rates of convergence for nonparametric deconvolution problems
• Nonparametric estimation of the measurement error model using multiple indicators.
• Simple kernel estimators for certain nonparametric deconvolution problems
• Nonparametric regression with errors in variables
• Robust estimation of generalized linear models with measurement errors.
• Berkson measurement error in designed repeated measures studies with random coefficients
• Estimation of nonlinear models with Berkson measurement errors
• On deconvolution with repeated measurements
• Deconvolution from panel data with unknown error distribution
• Regression model checking with Berkson measurement errors
• Semiparametric Regression Modeling with Mixtures of Berkson and Classical Error, with Application to Fallout from the Nevada Test Site
• Simulation-Extrapolation: The Measurement Error Jackknife
• Asymptotically optimal difference-based estimation of variance in nonparametric regression
• Nonparametric Methods for Solving the Berkson Errors-in-Variables Problem
• Deconvolving kernel density estimators
• Nonparametric Regression Estimation in the Heteroscedastic Errors-in-Variables Problem
• Using SIMEX for Smoothing-Parameter Choice in Errors-in-Variables Problems
• Optimal Rates of Convergence for Deconvolving a Density
• Simulation-Extrapolation Estimation in Parametric Measurement Error Models
• Low Order Approximations in Deconvolution and Regression with Errors in Variables
• Estimation of Integrated Squared Density Derivatives from a Contaminated Sample
• A Semi‐parametric Regression Model with Errors in Variables
• Semiparametric Estimation of Regression Models for Panel Data
• Nonparametric regression in the presence of measurement error
• Non-Parametric Confidence Bands in Deconvolution Density Estimation
• Non-Parametric Regression Estimation from Data Contaminated by a Mixture of Berkson and Classical Errors
• A Design-Adaptive Local Polynomial Estimator for the Errors-in-Variables Problem
• NONPARAMETRIC REGRESSION IN THE PRESENCE OF MEASUREMENT ERROR
• Nonparametric density estimation from data with a mixture of Berkson and classical errors
• Estimation of Nonlinear Models with Measurement Error
• Measurement Error in Nonlinear Models
• Are There Two Regressions?

This page was built for publication: Rate-optimal nonparametric estimation in classical and Berkson errors-in-variables problems