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Minimax A‐ and D‐optimal integer‐valued wavelet designs for estimation
Authors:Alwell J Oyet
Abstract:The author discusses integer‐valued designs for wavelet estimation of nonparametric response curves in the possible presence of heteroscedastic noise using a modified wavelet version of the Gasser‐Müller kernel estimator or weighted least squares estimation. The designs are constructed using a minimax treatment and the simulated annealing algorithm. The author presents designs for three case studies in experiments for investigating Gompertz's theory on mortality rates, nitrite utilization in bush beans and the impact of crash helmets in motorcycle accidents.
Keywords:A‐optimality  D‐optimality  Daubechies wavelet  Gasser‐Mü  ller estimator  Haar wavelet  multiwavelet  simulated annealing  weighted least squares
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