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Model-robust designs in multiresponse situations

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  • Yue, Rong-Xian

Abstract

The multiresponse model E(y[alpha]x)=[summation operator]l=1p[alpha] [theta][alpha]lf[alpha]l(x)+h[alpha](x), [alpha]=1,...,r, is considered, where h[alpha](x) is an unknown bias or contamination function from some class with a probability measure. Optimal designs are studied in terms of generalized least squares estimation and the average expected quadratic loss. The performance of the uniform design is also explored.

Suggested Citation

  • Yue, Rong-Xian, 2002. "Model-robust designs in multiresponse situations," Statistics & Probability Letters, Elsevier, vol. 58(4), pages 369-379, July.
    • Handle: RePEc:eee:stapro:v:58:y:2002:i:4:p:369-379
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    References listed on IDEAS

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    1. Krafft, Olaf & Schaefer, Martin, 1992. "D-Optimal designs for a multivariate regression model," Journal of Multivariate Analysis, Elsevier, vol. 42(1), pages 130-140, July.
    2. Yue, Rong-Xian, 2001. "A comparison of random and quasirandom points for nonparametric response surface design," Statistics & Probability Letters, Elsevier, vol. 53(2), pages 129-142, June.
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