Robust nonparametric regression with simultaneous scale curve estimation
From MaRDI portal
Publication:1118285
DOI10.1214/aos/1176350694zbMath0668.62025OpenAlexW2079605658MaRDI QIDQ1118285
Alexandre B. Tsybakov, Wolfgang Karl Härdle
Publication date: 1988
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1176350694
asymptotic normalityasymptotic biasnonparametric regressionlocationconditional distributionoptimal rate of convergencespeed of convergenceweak and strong consistencypointwise consistencykernel smootherHuber's simultaneous M-estimatorsjoint estimation of regression and scale curveM-type smoothersNadaraya-Watson kernel estimaterobust curve estimation
Related Items
Trimmed means for functional data, Robust functional principal components for sparse longitudinal data, \(M\)-type regression splines involving time series, Nonparametric \(M\)-type regression estimation under missing response data, Robust testing for superiority between two regression curves, Asymptotic Distribution of Robust Estimator for Functional Nonparametric Models, Robust nonparametric regression on Riemannian manifolds, Robust nonparametric equivariant regression for functional data with responses missing at random, Unnamed Item, \(M\)-estimators for isotonic regression, Bandwidth choice for robust nonparametric scale function estimation, A Robbins-Monro procedure for estimation in semiparametric regression models, Robust estimation for nonparametric generalized regression, Local M-estimator for nonparametric time series., Assessing the influence of individual observations on a goodness-of-fit test based on nonparametric regression, Asymptotic approximation of nonparametric regression experiments with unknown variances, Robust estimation of error scale in nonparametric regression models, Variable bandwidth and one-step local \(M\)-estimator, Global nonparametric estimation of conditional quantile functions and their derivatives, Robust nonparametric regression in time series, Mixtures of nonparametric autoregressions, Robust online scale estimation in time series: a model-free approach, Robust nonparametric estimation with missing data, Estimation of scale functions to model heteroscedasticity by regularised kernel-based quantile methods, On the almost everywhere properties of the kernel regression estimate, Almost sure uniform convergence rates for M-smoothers with non-monotone score functions, On a robust local estimator for the scale function in heteroscedastic nonparametric regression, Nonparametric Recursive Variance Estimation, Asymptotic Results for an M-Estimator of the Regression Function for Quasi-Associated Processes, Robust boosting for regression problems, Editorial to the special issue on applicable semiparametrics of computational statistics, Robust estimation of dimension reduction space, Robust estimation of multivariate regression model, Nonparametric regression estimators for length biased data, Finding extrema and zeros in nonparametric regression when the data contains outliers, Bandwidth selection in robust smoothing, Applied regression analysis bibliography update 1988-89, Local modal regression, Distribution-free consistency of kernel non-parametric M-estimators.