The maximum asymptotic bias of S-estimates for regression over the neighborhoods defined by certain special capacities
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Publication:1882951
DOI10.1016/j.jmva.2003.11.001zbMath1050.62069OpenAlexW2039636498MaRDI QIDQ1882951
Publication date: 1 October 2004
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2003.11.001
tablestotal variationrobust regressionmaximum asymptotic biasspecial capacity\(\varepsilon\)-contamination\(S\)-estimateLMS-estimate
Linear regression; mixed models (62J05) Robustness and adaptive procedures (parametric inference) (62F35)
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Cites Work
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- High breakdown-point and high efficiency robust estimates for regression
- Min-max bias robust regression
- A local breakdown property of robust tests in linear regression
- On the optimality of S-estimators
- Least favorable pairs for special capacities
- A minimax-bias property of the least \(\alpha\)-quantile estimates
- Aspects of robust linear regression
- Asymptotics of generalized \(S\)-estimators
- A characterization of the neighborhoods defined by certain special capacities and their applications to bias-robustness of estimates.
- Robust regression: Asymptotics, conjectures and Monte Carlo
- Maximum bias curves for robust regression with non-elliptical regressors
- Positive-breakdown regression by minimizing nested scale estimators
- Lower bounds for contamination bias: Globally minimax versus locally linear estimation
- The asymptotics of S-estimators in the linear regression model
- Least Median of Squares Regression
- High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale
- On solutions of minimax test problems for special capacities
- Regression Depth
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