| Rs中响应曲面模型的稳健设计 |
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| 引用本文： | 岳荣先. Rs中响应曲面模型的稳健设计[J]. 应用概率统计, 2002, 18(1): 71-80 |
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| 作者姓名： | 岳荣先 |
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| 作者单位： | 上海师范大学数学科学学院,上海,200234 |
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| 基金项目： | This work was supported by a Shanghai NSF Grant 00JC14057，a Shanghai Higher Education STF Grant. |
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| 摘 要： | 本文运用再生核Hhilbert空间方法研究R^s中响应曲面模型的稳健设计问题。我们假设模型偏差包括由多元Hermite多项式高阶项产生的效应，如果偏差大，设计点应该布于布点附近，否则，设计点应该适当散开，所求设计是正交不变的，而且关于模型偏差是稳健的。
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| 关 键 词： | 稳健设计 再生核Hilbert空间 Hermite多项式 响应曲面模型 偏差 |
Model-Robust Design for Response Surface in Rs |
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| Abstract. Model-Robust Design for Response Surface in Rs[J]. Chinese Journal of Applied Probability and Statisties, 2002, 18(1): 71-80 |
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| Authors: | Abstract |
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| Abstract: | This paper studies the model-robust design problem for response surface in Rs by applying the reproducingkernel Hilbert space approach. We assume that the model bias includes the effects due to higher degree termsof multivariate Hermite polynomials. If bias is severe, the design points should be pulled in towards the origin.while if bias is minimal, the design points should be spread out slightly. The designs are invariant with respect to orthogonal transformations and robust against the vary of bias over some range. |
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| Keywords: | He Response surface robust design reproducing kernel Hilbert space Hermite polynomial |
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