两响应Haar小波回归模型最优设计
Optimal Designs for Dual Response Linear Haar-Wavelet Regression Model
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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.Abstract: This paper discusses optimal design problems for the linear regression model with two responses, in which each response is expressed by a linear combination of Haar-wavelets. It is shown that the obtained design is D-, A- and Q-optimal simultaneously. Moreover, this design is independent of the covariance matrix of the responses.