On the explosion rate of maximum-bias functions

DOI10.2307/3315515zbMath0941.62035OpenAlexW2016079445MaRDI QIDQ4223832

Sonia Mazzi, Ruben H. Zamar, José R. Berrendero, Juan J. Romo

Publication date: 10 August 2000

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315515

zbMATH Keywords

sensitivityrobust regressionM-estimatesbreakdown pointscalemaxbias curve

Mathematics Subject Classification ID

Point estimation (62F10) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items

Globul robustness of location and dispersion estimates ⋮ On the global robustness of generalized S-estimators

Cites Work

• High breakdown-point and high efficiency robust estimates for regression
• Min-max bias robust regression
• A minimax-bias property of the least \(\alpha\)-quantile estimates
• Efficient high-breakdown \(M\)-estimators of scale
• The bias of \(k\)-step M-estimators
• Lower bounds for contamination bias: Globally minimax versus locally linear estimation
• High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale
• The Influence Curve and Its Role in Robust Estimation
• Robust Estimation of a Location Parameter