Measures of the Sensitivity of Regression Estimates to the Choice of Estimator

References

• Barnard , G. A. 1981 . “The Conditional Approach to Robustness,” . In Statistics and Related Topics , Edited by: Csorgo , M. , Dawson , D. A. , Rao , J. N. K. , Md , A. K. and Saleh , E. 235 – 241 . New York : North-Holland .
   Google Scholar
• Barnard , G. A. 1983 . “Pivotal Inference and the Conditional View of Robustness,” . In Scientific Inference, Data Analysis, and Robustness , Edited by: Leonard , T. and Wu , C. F. J. 1 – 8 . New York : Academic Press .
   Google Scholar
• Bassett , G. W. and Koenker , R. W. 1982 . “An Empirical Quantile Function for Linear Models With IID Errors,” . Journal of the American Statistical Association , 77 : 407 – 415 .
   Web of Science ®Google Scholar
• Becker , R. A. , Chambers , J. M. and Wilks , A. R. 1988 . The New S Language , Pacific Grove , CA : Wadsworth .
   Google Scholar
• Cook , R. D. and Weisberg , S. 1983 . Residuals and Influence in Regression , London : Chapman and Hall .
   Google Scholar
• Cox , D. R. and Snell , E. J. 1981 . Applied Statistics , London : Chapman and Hall .
   Google Scholar
• DiCiccio , T. J. 1988 . “Likelihood Inference for Linear Regression Models,” . Biometrika , 75 : 29 – 34 .
   Web of Science ®Google Scholar
• Fisher , R. A. 1973 . Statistical Methods for Research Workers, , 14th ed. , New York : Hafner .
   Google Scholar
• Fraser , D. A. S. 1979 . Inference and Linear Models , New York : McGraw-Hill .
   Google Scholar
• Gilstein , C. Z. and Leamer , E. E. 1983 . “Robust Sets of Regression Estimates,” . Econometrica , 51 : 321 – 333 .
   Web of Science ®Google Scholar
• Gilstein , C. Z. and Leamer , E. E. 1984 . “The Set of Weighted Regressions,” . Journal of the American Statistical Association , 78 : 942 – 948 .
   Web of Science ®Google Scholar
• Hampel , F. R. , Ronchetti , E. M. , Rousseeuw , P. J. and Stahel , W. A. 1986 . Robust Statistics: The Approach Based on Influence Functions , New York : John Wiley .
   Google Scholar
• Hinkley , D. V. 1978 . “Likelihood Inference About Location and Scale Parameters,” . Biometrika , 65 : 253 – 261 .
   Web of Science ®Google Scholar
• Hinkley , D. V. 1983 . “Can Frequentist Inferences Be Very Wrong? A Conditional ‘Yes,’” . In Scientific Inference, Data Analysis, and Robustness , Edited by: Leonard , T. and Wu , C. F. J. 1 – 8 . New York : Academic Press .
   Google Scholar
• Huber , P. J. Robust Statistical Procedures . Regional Conference Series in Applied Mathematics 27 . Philadelphia : SIAM .
   Google Scholar
• Koenker , R. W. and Bassett , G. W. 1978 . “Regression Quantiles,” . Econometrica , 46 : 33 – 50 .
   Web of Science ®Google Scholar
• Koenker , R. W. and D'Orey , V. 1987 . “Computing Regression Quantiles,” . Applied Statistics , 36 : 383 – 393 .
   Web of Science ®Google Scholar
• Koenker , R. W. and Portnoy , S. 1987 . “L-Estimation for Linear Models,” . Journal of the American Statistical Association , 82 : 851 – 857 .
   Web of Science ®Google Scholar
• Leamer , E. E. 1984 . “Global Sensitivity Results for Generalized Least Squares Estimates,” . Journal of the American Statistical Association , 79 : 867 – 870 .
   Web of Science ®Google Scholar
• Rousseeuw , P. J. and Leroy , A. M. 1986 . Robust Regression and Outlier Detection , New York : Wiley .
   Google Scholar
• Severini , T. A. 1992 . “Conditional Robustness in Location Estimation,” . Biometrika , 79 : 69 – 79 .
   Web of Science ®Google Scholar
• Weisberg , S. 1980 . Applied Linear Regression , New York : Wiley .
   Google Scholar