An optimal experimental design for the haar regression model

DOI10.2307/3315597zbMath0814.62039OpenAlexW2006129770MaRDI QIDQ4320732

William N. Traves, Agnes M. Herzberg

Publication date: 18 June 1995

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315597

zbMATH Keywords

D-optimalitydiscrete wavelet transformHaar wavelet systemHaar regression model

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Other special functions (33E99) Nontrigonometric harmonic analysis (42C99) Other wave functions (33E15)

Related Items (16)

Robust designs for wavelet approximations of regression models ⋮ Minimax A- and D-optimal integer-valued wavelet designs for estimation ⋮ Wavelet designs for estimating nonparametric curves with heteroscedastic error ⋮ \(I^r_L\)-optimal designs for a hierarchically ordered system of regression models ⋮ Optimal designs for spline wavelet regression models ⋮ A-minimax and D-minimax robust optimal designs for approximately linear Haar-wavelet models ⋮ Wavelet-based estimation with multiple sampling rates ⋮ A functional central limit theorem for regression models ⋮ Estimation and optimal designs for linear Haar-wavelet models ⋮ On exact minimax wavelet designs obtained by simulated annealing ⋮ ESTIMATIONS AND OPTIMAL DESIGNS FOR TWO-DIMENSIONAL HAAR-WAVELET REGRESSION MODELS ⋮ Robust designs for series estimation ⋮ D-optimal Designs for a Combined Simple Linear and Haar-Wavelet Regression Model ⋮ Efficiency of Optimal Designs for a Linear Haar-Wavelet Regression ⋮ Robust designs for Haar wavelet approximation models ⋮ Minimax robust designs for wavelet estimation of nonparametric regression models with autocorrelated errors

Cites Work

• The Equivalence of Two Extremum Problems
• A theory for multiresolution signal decomposition: the wavelet representation
• Orthonormal bases of compactly supported wavelets
• Wavelet transforms versus Fourier transforms
• Wavelets and Dilation Equations: A Brief Introduction
• Optimal Experimental Designs
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