Bias robustness of three median-based regression estimates.

DOI10.1016/j.jspi.2003.06.001zbMath1086.62500OpenAlexW2021331771MaRDI QIDQ1429887

Ruben H. Zamar, Jorge G. Adrover

Publication date: 27 May 2004

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.2003.06.001

zbMATH Keywords

Maximum biasRobust estimatesSimple linear regression

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Point estimation (62F10) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items

Median-based estimation of dynamic panel models with fixed effects ⋮ High-breakdown robust multivariate methods ⋮ Globally robust inference for the location and simple linear regression models ⋮ Globally robust confidence intervals for simple linear regression ⋮ Bias robustness of three median-based regression estimates. ⋮ Relationships between maximum depth and projection regression estimates

Cites Work

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• High breakdown-point and high efficiency robust estimates for regression
• Bias robust estimation of scale
• Min-max bias robust regression
• A local breakdown property of robust tests in linear regression
• Bias robust estimation in orthogonal regression
• Stability under contamination of robust regression estimators based on differences of residuals.
• Minimax bias-robust estimation of the dispersion matrix of a multivariate distribution
• A minimax-bias property of the least \(\alpha\)-quantile estimates
• Aspects of robust linear regression
• Optimal locally robust M-estimates of regression
• Bias robustness of three median-based regression estimates.
• Asymptotics of the repeated median slope estimator
• The ``automatic robustness of minimum distance functionals
• Optimal robust \(M\)-estimates of location
• Maximum bias curves for robust regression with non-elliptical regressors
• Lower bounds for contamination bias: Globally minimax versus locally linear estimation
• A Bounded Influence, High Breakdown, Efficient Regression Estimator
• Breakdown Robustness of Tests
• A most bias-robust estimate of the location parameter: a general existence theorem
• An asymptotically most bias–stable estimator of location parameter
• A Distribution-Free Median-Unbiased Quantile Estimator
• High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale
• On the bias–robustness in the location model I
• On the Bias-Robustness in the Location Model II
• Robust regression using repeated medians
• On One-Step GM Estimates and Stability of Inferences in Linear Regression
• The Influence Curve and Its Role in Robust Estimation
• Generalized S-Estimators
• Robust Estimation of a Location Parameter
• Estimates of the Regression Coefficient Based on Kendall's Tau
• A General Qualitative Definition of Robustness
• Robust Statistics