Keyword

breakdown point

Description: A robustness measure indicating the smallest proportion of data contamination that can cause an estimator to give arbitrarily misleading results.

Primary topic: Advanced Statistical Methods and Models (69%)

OpenAlex ID: keywords/breakdown-point

Alternatives to the Median Absolute Deviation

1993 · Peter J. Rousseeuw, Christophe Croux · Journal of the American Statistical Association · 2,014

High Breakdown-Point and High Efficiency Robust Estimates for Regression

1987 · Victor J. Yohai · The Annals of Statistics · 1,646

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Alternatives to the Median Absolute Deviation

1993 · Peter J. Rousseeuw, Christophe Croux · Journal of the American Statistical Association · 1,466

A General Qualitative Definition of Robustness

1971 · Frank R. Hampel · The Annals of Mathematical Statistics · 1,004

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Robust $M$-Estimators of Multivariate Location and Scatter

1976 · Ricardo Antonio Maronna · The Annals of Statistics · 952

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The Identification of Multiple Outliers

1993 · Laurie Davies, Ursula Gather · Journal of the American Statistical Association · 709

Breakdown Properties of Location Estimates Based on Halfspace Depth and Projected Outlyingness

1992 · David L. Donoho, Miriam Gasko · The Annals of Statistics · 601

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Robust regression using repeated medians

1982 · ANDREW F. SIEGEL · Biometrika · 579

Robust Statistical Procedures.

1978 · Robert V. Hogg, Peter J. Huber · Journal of the American Statistical Association · 515

Breakdown Points of Affine Equivariant Estimators of Multivariate Location and Covariance Matrices

1991 · Hendrik P. Lopuhaa, Peter J. Rousseeuw · The Annals of Statistics · 450

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Efficiency Versus Robustness: The Case for Minimum Hellinger Distance and Related Methods

1994 · Bruce G. Lindsay · The Annals of Statistics · 426

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Modern Methods for Robust Regression

2008 · Robert Andersen · Sage eBooks · 393

High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale

1988 · Victor J. Yohai, Ruben H. Zamar · Journal of the American Statistical Association · 382

High breakdown estimators for principal components: the projection-pursuit approach revisited

2004 · Christophe Croux, Anne Ruiz-Gazen · Journal of Multivariate Analysis · 328

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A Robust Measure of Skewness

2004 · G Brys, M Hubert, et al. · Journal of Computational and Graphical Statistics · 317

On the Relation between $S$-Estimators and $M$-Estimators of Multivariate Location and Covariance

1989 · Hendrik P. Lopuhaa · The Annals of Statistics · 296

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Projection-based depth functions and associated medians

2003 · Yijun Zuo · The Annals of Statistics · 291

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Robust linear regression: A review and comparison

2016 · Chun Yu, Weixin Yao · Communications in Statistics - Simulation and Computation · 276

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The Behavior of the Stahel-Donoho Robust Multivariate Estimator

1995 · Ricardo A. Maronna, Víctor J. Yohai · Journal of the American Statistical Association · 256

On One-Step GM Estimates and Stability of Inferences in Linear Regression

1992 · D. G. Simpson, D. Ruppert, et al. · Journal of the American Statistical Association · 248

Sparse least trimmed squares regression for analyzing high-dimensional large data sets

2013 · Andreas Alfons, Christophe Croux, et al. · The Annals of Applied Statistics · 225

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Minimum Hellinger Distance Estimation for the Analysis of Count Data

1987 · Douglas G. Simpson · Journal of the American Statistical Association · 210

Introduction to Robust and Quasi-Robust Statistical Methods.

1985 · Robert V. Hogg, William J. J. Rey · Journal of the American Statistical Association · 199

Robustness in Statistics

2001 · S. Morgenthaler · Elsevier eBooks · 196

The Use of Robust Estimators as Measures of Core Inflation

2010 · Luc Aucremanne · SSRN Electronic Journal · 195

Works count: 1,254

Citation count: 30,480