Bounded influence regression using high breakdown scatter matrices

[1]  Stefan Van Aelst,et al.  Robust Multivariate Regression , 2004, Technometrics.

[2]  Hannu Oja,et al.  Affine equivariant multivariate rank methods , 2003 .

[3]  C. Croux,et al.  Robust linear discriminant analysis using S‐estimators , 2001 .

[4]  P. Rousseeuw,et al.  Robust estimation of the conditional median function at elliptical models , 2001 .

[5]  C. Croux,et al.  Principal Component Analysis Based on Robust Estimators of the Covariance or Correlation Matrix: Influence Functions and Efficiencies , 2000 .

[6]  Nélida E. Ferretti,et al.  A Class of Locally and Globally Robust Regression Estimates , 1999 .

[7]  Simon J. Sheather,et al.  High-Breakdown Rank Regression , 1999 .

[8]  C. Croux,et al.  Influence Function and Efficiency of the Minimum Covariance Determinant Scatter Matrix Estimator , 1999 .

[9]  Victor J. Yohai,et al.  Functional stability of one-step GM-estimators in approximately linear regression , 1998 .

[10]  J. V. Ness,et al.  Robust calibration , 1997 .

[11]  Simon J. Sheather,et al.  Finite sample stability properties of the least median of squares estimator , 1997 .

[12]  Hendrik P. Lopuhaä,et al.  Asymptotic expansion of S-estimators of location and covariance , 1997 .

[13]  Simon J. Sheather,et al.  Diagnostics to detect differences in Robust fits of linear models , 1996 .

[14]  P. Rousseeuw,et al.  Generalized S-Estimators , 1994 .

[15]  David M. Rocke,et al.  Computable Robust Estimation of Multivariate Location and Shape in High Dimension Using Compound Estimators , 1994 .

[16]  Joshua D. Naranjo,et al.  Bounded influence rank regression , 1994 .

[17]  Simon J. Sheather,et al.  The Use and Interpretation of Residuals Based on Robust Estimation , 1993 .

[18]  C. W. Coakley,et al.  A Bounded Influence, High Breakdown, Efficient Regression Estimator , 1993 .

[19]  D. Ruppert.  Computing S Estimators for Regression and Multivariate Location/Dispersion , 1992 .

[20]  D. G. Simpson,et al.  On One-Step GM Estimates and Stability of Inferences in Linear Regression , 1992 .

[21]  Douglas M. Hawkins,et al.  Comparison of Model Misspecification Diagnostics Using Residuals from Least Mean of Squares and Least Median of Squares Fits , 1992 .

[22]  S. Sheather,et al.  A Cautionary Note on the Method of Least Median Squares , 1992 .

[23]  Ruben H. Zamar,et al.  A Procedure for Robust Estimation and Inference in Linear Regression , 1991 .

[24]  W. Härdle.  Smoothing Techniques: With Implementation in S , 1991 .

[25]  Simon J. Sheather,et al.  Regression Diagnostics for Rank-Based Methods , 1990 .

[26]  D. G. Simpson,et al.  Unmasking Multivariate Outliers and Leverage Points: Comment , 1990 .

[27]  P. Rousseeuw,et al.  Unmasking Multivariate Outliers and Leverage Points , 1990 .

[28]  H. P. Lopuhaä.  On the relation between S-estimators and M-estimators of multivariate location and covariance , 1989 .

[29]  D. Cox,et al.  Asymptotic techniques for use in statistics , 1989 .

[30]  V. Yohai,et al.  High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale , 1988 .

[31]  Peter J. Rousseeuw,et al.  Robust Regression and Outlier Detection , 2005, Wiley Series in Probability and Statistics.

[32]  P. L. Davies,et al.  Asymptotic behaviour of S-estimates of multivariate location parameters and dispersion matrices , 1987 .

[33]  V. Yohai.  HIGH BREAKDOWN-POINT AND HIGH EFFICIENCY ROBUST ESTIMATES FOR REGRESSION , 1987 .

[34]  C. Jennison,et al.  Robust Statistics: The Approach Based on Influence Functions , 1987 .

[35]  Werner A. Stahel,et al.  Robust Statistics: The Approach Based on Influence Functions , 1987 .

[36]  R. Maronna,et al.  Robust Regression through Robust Covariances. , 1986 .

[37]  P. Rousseeuw.  Multivariate estimation with high breakdown point , 1985 .

[38]  P. Rousseeuw.  Least Median of Squares Regression , 1984 .

[39]  Michael Stuart,et al.  Understanding Robust and Exploratory Data Analysis , 1984 .

[40]  G. V. Kass,et al.  Location of Several Outliers in Multiple-Regression Data Using Elemental Sets , 1984 .

[41]  R. Maronna.  Robust $M$-Estimators of Multivariate Location and Scatter , 1976 .

[42]  Norman J Pullman,et al.  Matrix theory and its applications : selected topics , 1976 .