Estimation and optimal designs for linear Haar-wavelet models
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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.
KeywordsHaar-wavelet Linear model Best linear unbiased estimator Covariance matrix Information matrix Optimal design
Mathematics Subject Classification62K05
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- Fedorov VV (1972) Theory of optimal experiments. Translated from the Russian and edited by W. J. Studden and E. M. Klimko. Academic Press, New YorkGoogle Scholar
- Xie M-Y (2002) D-optimal designs based on elementary intervals for b-adic Haar wavelet regression models. In: Niederreiter H, Spanier J (eds) Monte Carlo and quasi-Monte Carlo methods. Springer, Berlin Heidelberg New York, pp 523–535Google Scholar