Estimation and optimal designs for linear Haar-wavelet models |
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| Authors: | Yongge Tian Agnes M. Herzberg |
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| Affiliation: | (1) School of Economics, Shanghai University of Finance and Economics, 777 Guoding Road, Shanghai, 200433, China;(2) Department of Mathematics and Statistics, Queen’s University, Kingston, ON, Canada, K7L 3N6 |
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| Abstract: | This paper gives an analytical expression for the best linear unbiased estimator (BLUE) of the unknown parameters in the linear Haar-wavelet model. From the analytical expression, we solve for the eigenvalues of the covariance matrix of the BLUE in analytical form. Further, we use these eigenvalues to construct some conventional discrete optimal designs for the model. The equivalences among these optimal designs are demonstrated and some examples are also given. |
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| Keywords: | Haar-wavelet Linear model Best linear unbiased estimator Covariance matrix Information matrix Optimal design |
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