Optimal minimax designs over a prespecified interval in a heteroscedastic polynomial model

Statistics and Probability Letters

Volumn 78, Issue 13, 2008, Pages 1914-1921

  Chen, Ray Bing ^a   Wong, Weng Kee ^b   Li, Kun Yu ^a  

^a NATIONAL UNIVERSITY OF KAOHSIUNG   (Taiwan)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 49649119480     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2008.01.059     Document Type: Article

References (15)

1. Atkinson A.C., and Donev A.N. Optimum Experimental Designs (1992), Oxford University Press, Oxford
2. Brown L.D., and Wong W.K. An algorithm construction of optimal minimax designs for heteroscedastic linear models. J. Statist. Plann. Inference 85 (2000) 103-114
3. Dette H., and Huang M.-N.L. Convex optimal designs for compound polynomial extrapolation. Ann. Inst. Statist. Math. 52 (2000) 557-573
4. Ford I., Torsney B., and amd Wu C.F.J. The use of a canonical form in the construction of locally optimal designs for non-linear problems. J. Roy. Statist. Soc. B 54 (1992) 569-583
5. Gaylor D.W., and Sweeny H.C. Design for optimal prediction in simple linear regression. J. Amer. Statist. Assoc. 60 (1965) 205-216
6. Hoel P.G., and Levine A. Optimum spacing and weighting in polynomial prediction. Ann. Math. Statist. 35 (1964) 1553-1560
7. Huang M.-N.L., and Studden W.J. Model robust extrapolation designs. J. Statist. Plann. Inference 18 (1988) 1-24
8. Huang M.-N.L. Optimal extrapolation designs for a partly linear model. Comput. Statist. Data Anal. 10 (1990) 105-119
9. Kiefer J., and Wolfowitz J. Optimum extrapolation and interpolation designs I. Ann. Inst. Statist. Math. 16 (1964) 79-108
10. Kiefer J., and Wolfowitz J. Optimum extrapolation and interpolation designs II. Ann. Inst. Statist. Math. 16 (1964) 295-303
11. Kiefer J., and Wolfowitz J. On a theorem of Hoel and Levine on extrapolation designs. Ann. Math. Statist. 36 (1965) 1627-1655
12. King J., and Wong W.K. Optimal minimax designs for prediction in heteroscedastic models. J. Statist. Plann. Inference 69 (1998) 371-383
13. Levine A. A problem in minimax variance polynomial extrapolation. Ann. Math. Statist. 37 (1966) 898-903
14. Wong W.K. A unified approach to the construction of mini-max designs. Biometrika 79 (1992) 611-620
15. Wong W.K. Multifactor G-optimal designs with heteroscedastic errors. J. Statist. Plann. Inference 40 (1994) 127-133