| 两响应Haar小波回归模型最优设计 |
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| 引用本文： | 刘欣,岳荣先.两响应Haar小波回归模型最优设计[J].应用概率统计,2010,26(2):151-158. |
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| 作者姓名： | 刘欣 岳荣先 |
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| 作者单位： | 1. 东华大学理学院,上海,201600
2. 上海师范大学数理学院,上海,200234;上海市高校科学计算E-研究院,科学计算上海高校重点实验室,上海,200234 |
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| 基金项目： | 国家自然科学基金，教育部高校博士点专项科研基金，上海市科学计算E研究院项目，上海市科委重点项目，科学计算上海市重点学科项目 |
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| 摘 要： | 本文讨论两响应线性Haar小波模型的最优试验设计问题.假定每个响应变量与自变量之间的回归关系可以用一个线性小波多项式表示.本文给出一个设计,它同时具有D-,A-和Q-最优性,并且与两响应变量的协方差阵无关.
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| 关 键 词： | 两响应 Haar小波 最优设计. |
Optimal Designs for Dual Response Linear Haar-Wavelet Regression Model |
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| LIU XIN,YUE RONGXIAN.Optimal Designs for Dual Response Linear Haar-Wavelet Regression Model[J].Chinese Journal of Applied Probability and Statisties,2010,26(2):151-158. |
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| Authors: | LIU XIN YUE RONGXIAN |
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| Institution: | College of Science, Donghua University;College of Mathematics, Shanghai Normal University |
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| Abstract: | This paper discusses optimal design problemsfor the linear regression model with two responses, in which eachresponse is expressed by a linear combination of Haar-wavelets. Itis shown that the obtained design is D-, A- and Q-optimalsimultaneously. Moreover, this design is independent of thecovariance matrix of the responses. |
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| Keywords: | Dual response Haar-wavelet optimal designs |
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