Robust extrapolation designs for biased polynomial models

Journal of Statistical Planning and Inference

Volumn 87, Issue 1, 2000, Pages 135-147

  Fang, Zhide ^a  

^a UNIVERSITY OF NEW ORLEANS   (United States)

Author keywords

62F35; I optimal; Ordinary least squares; Prediction; Primary 62K05; Secondary 62J05

Indexed keywords

EID: 0042829732     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(99)00179-2     Document Type: Article

References (23)

1. Box G.E.P., Draper N.R. A basis for the selection of a response surface design. J. Amer. Stat. Assoc. 54:1959;622-654.
2. Dette, H., Studden, W.J., 1997. The Theory of Canonical Moments With Applications in Statistics, Probability, and Analysis. Wiley, New York.
3. Dette H., Wong W.K. Robust optimal extrapolation designs. Biometrika. 83:1996;667-680.
4. Draper N.R., Herzberg A. Some designs for extrapolation outside a sphere. J. Roy. Statist. Soc. Ser. B. 35:1973;268-276.
5. Fang, Z., Wiens, D.P., 1999. Robust extrapolation designs and weights for biased regression models with heteroscedastic errors. Canad. J. Statist., to appear.
6. Hoel P.G., Levine A. Optimum spacing and weighting in polynomial prediction. Ann. Math. Statist. 35:1964;1553-1560.
7. Huang M.N.L. Optimal extrapolation designs for a partly linear model. Computat. Statist. Data Anal. 10:1990;109-115.
8. Huang M.N.L., Studden W.J. Model robust extrapolation designs. J. Statist. Plann. Inference. 18:1988;1-24.
9. Huber, J., 1975. Robustness and designs. In: Srivastava, J.N. (Ed.), A Survey of Statistical Design and Linear Models. North-Holland, Amsterdam, pp. 287-303.
10. Huber, J., 1981. Robust Statistics. Wiley, New York.
11. Kiefer J. Optimal experimental designs (with discussion). J. Roy. Statist. Soc. Ser. B. 21:1959;272-319.
12. Kiefer J., Wolfowitz J. Optimum extrapolation and interpolation designs. I. Ann. Inst. Statist. Math. 16:1964;79-108.
13. King J., Wong W.K. Optimal minimax designs for prediction in heteroscedastic models. J. Statist. Plann. Inference. 69:1998;371-383.
14. Lawless, J.F., 1984. Some problems concerning experimental designs for extrapolations. In: Dwivedi, T.D. (Ed.), Topics in Applied Statistics. Concordia University Press, Montreal pp. 357-366.
15. Li K.C., Notz W. Robust designs for nearly linear regression. J. Statist. Plann. Inference. 6:1982;135-151.
16. Liu S.X., Wiens D.P. Robust designs for approximately polynomial regression. J. Statist. Plann. Inference. 64:1997;369-381.
17. Marcus, M.B., Sacks, J., 1976. Robust designs for approximately regression problems. In: Gupta, S.S., Moore D.S. (Eds.), Statistical Decision Theory and Related Topics II. Academic Press, New York, pp. 245-268.
18. k Ann. Statist. 10:1982;511-525.
19. Pukelsheim, F., 1993. Optimal Design of Experiments. Wiley, New York.
20. Spruill M.C. Optimal designs for minimax extrapolation. J. Multivariate Anal. 15:1984;52-62.
21. Spruill M.C. Good designs for polynomial extrapolation. J. Statist. Plann. Inference. 26:1990;149-159.
22. Szegö, G., 1975. Orthogonal polynomials, Vol. XXIII. American Mathematical Society Colloquium Publications, Providence, RI.
23. Wiens D.P. Minimax designs for approximately linear regression. J. Statist. Plann. Inference. 31:1992;355-371.