Fuzzy-weighted estimation in ridge regression analysis

References

• Askin , R.G. and Montgomery , D.C. 1980 . Augmented robust estimators . Technometrics , 22 : 333 – 341 .
   Web of Science ®Google Scholar
• Belsley , D.A. , Kuh , E. and Welsch , R.E. 1980 . Regression Diagnostics , New York : Wiley .
   Google Scholar
• Gath , I. and Geva , A.B. 1989 . Unsupervised optimal fuzzy clustering . IEEE Transactions on Pattern Analysis and Machine intelligence , 11 : 773 – 781 .
   Web of Science ®Google Scholar
• Hill , R.W. 1970 . Robust regression when there are outliers in the carriers, unpublished Ph.D. dissertation , Harvard University, Department of Statistics .
   Google Scholar
• Hoerl , A.E. and Kennard , R.W. 1970 . Ridge regression: biased estimation for nonorthogonal problems . Technometrics , 12 : 55 – 67 .
   Web of Science ®Google Scholar
• Hoerl , A.E. and Kennard , R.W. 1976 . Ridge regression: iterative estimation of the biased parameter . Communications in Statistics – Theory and Methods , 5 : 77 – 88 .
   Web of Science ®Google Scholar
• Liu , K. 1993 . A new class of biased estimate in linear regression . Communications in Statistics – Theory and Methods , 22 : 393 – 402 .
   Web of Science ®Google Scholar
• McDonald , G.C. and Galarneau , D.I. 1975 . A Monte Carlo evaluation of some ridge type estimators . Journal of the American Statistical Association , 70 : 407 – 416 .
   Web of Science ®Google Scholar
• Myers , R.H. 1986 . Classical and Modern Regression with Applications Boston: Duxbury
   Google Scholar
• Neter , J. , Kunter , M. , Nachtsheim , C. and Wasserman , W. 1996 . Applied Linear Statistical Models , 4th , Burr Ridge, IL : Irwin .
   Google Scholar
• Nyquist , H. 1988 . Applications of the jacknife procedure in ridge regression . Computational Statistics & Data Analysis , 6 : 177 – 183 .
   Web of Science ®Google Scholar
• Pfaffenberger , R.C. and Dielman , T.E. 1990 . “ A comparison of regression estimators when both multicollinearity and outliers are present ” . In in Robust Regression – Analysis and Applications , Edited by: Lawrence , K.D. Arthur , J.L. 243 – 270 . New York : Dekker .
   Google Scholar
• Shia , B.-C. and Chow , M.-F. 1998 . Improved ridge regression analysis . Journal of the Chinese Statistical Association , 36 : 259 – 277 .
   Google Scholar
• Simpson , J.R. and Montgomery , D.C. 1996 . A biased-robust regression technique for the combined outlier-multicollinearity problem . Journal of Statistical Computation and Simulation , 56 : 1 – 22 .
   Web of Science ®Google Scholar
• Steece , B.M. 1986 . Regressor space outliers in ridge regression . Communications in Statistics – Theory and Methods , 15 : 3599 – 3605 .
   Web of Science ®Google Scholar
• Van Cutsem , B. and Gath , I. 1993 . Detection of outliers and robust estimation using fuzzy clustering . Computational Statistics & Data Analysis , 15 : 47 – 61 .
   Google Scholar
• Walker , E. and Birch , J.B. 1988 . Influence measures in ridge regression . Technometrics , 30 : 221 – 227 .
   Web of Science ®Google Scholar
• Wu , J-W , Jang , J.-B. and Tsai , T.-R. 1996 . Fuzzy weighted scaled coefficients in semi-parametric model . Annals of the Institute of Statistical Mathematics , 48 : 97 – 110 .
   Google Scholar