Some New Estimation Methods for Weighted Regression When There Are Possible Outliers

REFERENCES

• Belsley , D. A. , Kuh , E. and Welsch , R. E. 1980 . Regression Diagnostics: Identifying Influential Data and Sources of Collinearity New York : John Wiley. .
   Google Scholar
• Box , G. E. P. and Hill , W. J. 1974 . “Correcting Inhornogeneity of Variance With Power Transformation Weighting” . Technometrics , 6 : 385 – 389 .
   Google Scholar
• Carroll , R. J. 1982 . “Adapting for Heteroscedasticity in Linear Models” . The Annals of Statistics , 10 : 1224 – 1233 .
   Web of Science ®Google Scholar
• Carroll , R. J. and Ruppert , D. 1982a . “A Comparison Between Maximum Likelihood and Generalized Least Squares in a Heteroscedastic Model” . Journal of the American Statistical Association , 77 : 878 – 882 .
   Web of Science ®Google Scholar
• Carroll , R. J. and Ruppert , D. 1982b . “Robust Estimation in Heteroscedastic Linear Models” . The Annals of Statistics , 10 : 429 – 441 .
   Web of Science ®Google Scholar
• Cook , R. D. 1985 . “A General Class of Diagnostics” unpublished manuscript
   Google Scholar
• Cook , R. D. and Weisberg , S. 1983 . “Diagnostics for Heteroscedasticity in Regression” . Biometrika , 70 : 1 – 10 .
   Web of Science ®Google Scholar
• Dent , W. T. and Hildreth , C. 1977 . “Maximum Likelihood Estimation in Random Coefficient Models” . Journal of the American Statistical Association , 72 : 69 – 72 .
   Web of Science ®Google Scholar
• Finney , D. J. 1976 . “Radioligand Assay” . Biometrics , 32 : 721 – 740 .
   PubMed Web of Science ®Google Scholar
• Giltinan , D. M. 1983 . “Bounded Influence Estimation in Heteroscedastic Linear Models” University of North Carolina, Dept. of Statistics. . unpublished Ph.D. thesis
   Google Scholar
• Hampel , F. R. 1968 . “Contribution to the Theory of Robust Estimation” University of California, Berkeley, Dept. of Statistics. . unpublished Ph.D. thesis
   Google Scholar
• Hampel , F. R. 1974 . “The Influence Curve and Its Role in Robust Estimation” . Journal of the American Statistical Association , 69 : 383 – 394 .
   Web of Science ®Google Scholar
• Hampel , F. R. “Optimally Bounding the Gross-Error-Sensitivity and the Influence of Position in Factor Space” . Proceedings of the Statistical Computing Section, American Statistical Association . pp. 59 – 64 .
   Google Scholar
• Hampel , F. R. , Rousseeuw , P. J. and Ronchetti , E. 1981 . “The Change-of-Variance Curve and Optimal Redescending M-Estimators” . Journal of the American Statistical Association , 76 : 643 – 648 .
   Web of Science ®Google Scholar
• Hildreth , C. and Houck , J. P. 1968 . “Some Estimators for a Linear Model With Random Coefficients” . Journal of the American Statistical Association , 63 : 584 – 595 .
   Web of Science ®Google Scholar
• Huber , P. J. 1981 . Robust Statistics New York : John Wiley. .
   Google Scholar
• Jobson , J. D. and Fuller , W. A. 1980 . “Least Squares Estimation When the Covariance Matrix and Parameter Vector Are Functionally Related” . Journal of the American Statistical Association , 75 : 176 – 181 .
   Web of Science ®Google Scholar
• Krasker , W. S. 1980 . “Estimation in Linear Regression Models With Disparate Data Points” . Econometrika , 48 : 1333 – 1346 .
   Web of Science ®Google Scholar
• Krasker , W. S. and Welsch , R. E. 1982 . “Efficient Bounded-Influence Regression Estimation” . Journal of the American Statistical Association , 77 : 595 – 604 .
   Web of Science ®Google Scholar
• Leurgans , S. 1980 . “Evaluating Laboratory Measurement Techniques”. ” . In Biostatistics Casebook Edited by: Miller , R. G. , Efron , B. , Brown , B. W. and Moses , L. E. New York : John Wiley. .
   Google Scholar
• Mallows , C. L. 1975 . “On Some Topics in Robustness” Murray Hill , NJ : Bell Telephone Laboratories. . unpublished memorandum
   Google Scholar
• Maronna , R. A. , Bustos , O. H. and Yohai , V. J. 1979 . “Bias-and-Efficiency-Robustness of General M-Estimators for Regression With Random Carriers”. ” . In Smoothing Techniques for Curve Estimation 91 – 116 . New York : Springer-Verlag. . (Lecture Notes in Mathematics No. 7575)
   Google Scholar
• Oppenheimer , L. , Capizzi , T. P. , Weppelman , R. M. and Mehta , H. 1983 . “Determining the Lowest Limit of Reliable Assay Measurement.” . Analytical Chemistry , 55 : 638 – 643 .
   Web of Science ®Google Scholar
• Rodbard , D. and Frazier , G. R. 1975 . “Statistical Analysis of Radioligand Assay Data” . Methods of Enzymology , 37 : 3 – 22 .
   PubMedGoogle Scholar
• Stahel , W. A. 1981 . “Robuste Schätzungen: Infinitesimale Optimalität und Schätzungen von Kovarianzmatrizen” ZÜrich : Eidgenossische Technische Hochschule. . unpublished Ph.D. thesis
   Google Scholar