Maximum bias curves for robust regression with non-elliptical regressors
type: Item
instance of: scholarly article
title: Maximum bias curves for robust regression with non-elliptical regressors
zbMATH Open document ID: 1029.62028
author: José R. Berrendero
author: Ruben H. Zamar
published in: The Annals of Statistics
publication date: 2002-11-14T00:00:00Z
Mathematics Subject Classification ID: 62F35
Mathematics Subject Classification ID: 62J05
zbMATH DE Number: 1829013
zbMATH Keywords: maxbias curve
zbMATH Keywords: S-estimates
zbMATH Keywords: R-estimates
zbMATH Keywords: tau-estimates
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/996986507
OpenAlex ID: W1971762149
cites work: Minimax bias-robust estimation of the dispersion matrix of a multivariate distribution
cites work: Globally robust inference for the location and simple linear regression models
cites work: Stability under contamination of robust regression estimators based on differences of residuals.
cites work: Asymptotics of generalized \(S\)-estimators
cites work: Positive-breakdown regression by minimizing nested scale estimators
cites work: The ``automatic'' robustness of minimum distance functionals
cites work: Q3723487
cites work: A local breakdown property of robust tests in linear regression
cites work: Lower bounds for contamination bias: Globally minimax versus locally linear estimation
cites work: Q4855260
cites work: On the optimality of S-estimators
cites work: Rank-Based Estimates in the Linear Model with High Breakdown Point
cites work: Robust Estimation of a Location Parameter
cites work: Robust Statistics
cites work: Projection-Pursuit Approach to Robust Dispersion Matrices and Principal Components: Primary Theory and Monte Carlo
cites work: Bias-robust estimates of regression based on projections
cites work: Min-max bias robust regression
cites work: Bias robust estimation of scale
cites work: Least Median of Squares Regression
cites work: Regression Depth
cites work: Q3683344
cites work: On One-Step GM Estimates and Stability of Inferences in Linear Regression
cites work: Functional stability of one-step GM-estimators in approximately linear regression
cites work: High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale
cites work: A minimax-bias property of the least \(\alpha\)-quantile estimates
cites work: Optimal locally robust M-estimates of regression
cites work: Bias robust estimation in orthogonal regression
DOI: 10.1214/AOS/996986507
description: scientific article; zbMATH DE number 1829013