References
- Bickel , P. J. and Herzberg , A. M. 1979 . “Robustness of Design Against Autocorrelation in Time I: Asymptotic Theory, Optimality for Location and Linear Regression,” . The Annals of Statistics , 7 : 77 – 95 .
- Bischoff , W. 1992 . “On Exact D-Optimal Designs for Regression Models With Correlated Observations,” . Annals of the Institute of Statistical Mathematics , 44 : 229 – 238 .
- Bischoff , W. 1993 . “On D-Optimal Designs for Linear Models Under Correlated Observations With an Application to a Linear Model With Multiple Response,” . Journal of Statistical Planning and Inference , 37 : 69 – 80 .
- Box , G. E. P. and Draper , N. R. 1959 . “A Basis for the Selection of a Response Surface Design,” . Journal of the American Statistical Association , 54 : 622 – 654 .
- Constantine , G. M. 1989 . “Robust Designs for Serially Correlated Observations,” . Biometrika , 76 : 245 – 251 .
- Field , C. A. and Wiens , D. P. 1994 . “One-Step M Estimators in the Linear Model, With Dependent Errors,” . Canadian Journal of Statistics , 22 : 219 – 231 .
- Grenander , U. and Szegö , G. 1958 . Toeplitz Forms and Their Application , Berkeley : University of California Press .
- Hampel , F. R. , Ronchetti , E. , Rousseeuw , R. J. and Stahel , W. 1986 . Robust Statistics: The Approach Based on Influence Functions , Toronto : Wiley .
- Herzberg , A. M. and Huda , S. 1981 . “A Comparison of Equally Spaced Designs With Different Correlation Structures in One and More Dimensions,” . Canadian Journal of Statistics , 9 : 203 – 208 .
- Hössjer , O. 1991 . “The Change-of-Variance Function for Dependent Data,” . Probability Theory and Related Fields , 90 : 447 – 467 .
- Huber , P. J. 1975 . “Robustness and Designs,” . In A Survey of Statistical Design and Linear Models , Edited by: Srivastava , J. N. 287 – 303 . Amsterdam : North-Holland .
- Jenkins , G. M. and Chanmugam , J. 1962 . “The Estimation of Slope When the Errors are Autocorrelated,” . Journal of the Royal Statistical Society , 24 : 199 – 214 . Ser. B
- Judickii , M. I. 1976 . “On Designing Experiments to Estimate the Parameters in Regression Models With Correlated Errors in the Observations,” . Theory of Probability and Mathematical Statistics , 11 : 173 – 180 .
- Kiefer , J. and Wynn , H. P. 1984 . “Optimum and Minimax Exact Treatment Designs for One-Dimensional Autoregressive Error Process,” . The Annals of Statistics , 12 : 414 – 450 .
- Li , K. C. and Notz , W. 1982 . “Robust Designs for Nearly Linear Regression,” . Journal of Statistical Planning and Inference , 6 : 135 – 151 .
- Liu , S. X. 1994 . “Some Topics in Robust Estimation and Experimental Design,” , University of Calgary, Dept. of Mathematics and Statistics . unpublished Ph.D. dissertation
- Liu , S. X. and Wiens , D. P. “Robust Designs for Approximately Polynomial Regression,” . Journal of Statistical Planning and Inference , 64 (in press)
- Pesotchinsky , L. 1982 . “Optimal Robust Designs: Linear Regression in Rk,” . The Annals of Statistics , 10 : 511 – 525 .
- Pukelsheim , F. 1993 . Optimal Design of Experiments , Toronto : Wiley .
- Sacks , J. and Ylvisaker , D. 1966 . “Designs for Regression Problems With Correlated Errors,” . The Annals of Statistics , 37 : 66 – 89 .
- Sacks , J. and Ylvisaker , D. 1968 . “Designs for Regression Problems with Correlated Errors; Many Parameters,” . The Annals of Statistics , 39 : 49 – 69 .
- Sacks , J. and Ylvisaker , D. 1970 . “Designs for Regression Problems With Correlated Errors, III,” . The Annals of Statistics , 41 : 2057 – 2074 .
- Samarov , A. M. 1987 . “Robust Spectral Regression,” . The Annals of Statistics , 15 : 99 – 111 .
- Srivastava , M. S. and Khatri , C. G. 1979 . An Introduction to Multivariate Statistics , New York : North-Holland .
- Tang , D. 1993 . “Minimax Regression Designs Under Uniform Departure Models,” . The Annals of Statistics , 21 : 434 – 446 .
- Werther , J. , Hartge , E.-U. and Rensner , D. 1990 . “Messtechniken Fuer Gas/Feststoff-Wirbelschichtreaktoren,” . Chemie-Ingenieur-Tecknik , 62 : 605 – 613 .
- Wiens , D. P. 1991 . “Designs for Approximately Linear Regression: Two Optimality Properties of Uniform Designs,” . Statistics and Probability Letters , 12 : 217 – 221 .
- Wiens , D. P. 1992 . “Minimax Designs for Approximately Linear Regression,” . Journal of Statistical Planning and Inference , 31 : 353 – 371 .
- Wiens , D. P. and Zhou , J. 1995 . “Minimax Designs for Approximately Linear Models With AR(1) Errors,” , University of Alberta, Statistics Centre, Dept. of Mathematical Sciences . Technical Report 95.01
- Wiens , D. P. and Zhou , J. 1996 . “Minimax Regression Designs for Approximately Linear Models With Autocorrelated Errors,” . Journal of Statistical Planning and Inference , 55 : 95 – 106 .