ESTIMATIONS AND OPTIMAL DESIGNS FOR TWO-DIMENSIONAL HAAR-WAVELET REGRESSION MODELS

DOI10.1142/S0219691309002933zbMath1170.62056MaRDI QIDQ3636480

Yongge Tian

Publication date: 30 June 2009

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

information matrixcovariance matrixbest linear unbiased estimator

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Optimal statistical designs (62K05) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (4)

NONLINEAR WAVELET ESTIMATION OF CONDITIONAL DENSITY UNDER LEFT-TRUNCATED AND α-MIXING ASSUMPTIONS ⋮ GENERALIZED ORTHONORMAL PIECEWISE CONSTANT WAVELET BASES WITH 1–4 SPLITTING ⋮ NONLINEAR WAVELET DENSITY ESTIMATION FOR TRUNCATED AND DEPENDENT OBSERVATIONS ⋮ Efficiency of Optimal Designs for a Linear Haar-Wavelet Regression

Cites Work

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• A-minimax and D-minimax robust optimal designs for approximately linear Haar-wavelet models
• PIECEWISE CONSTANT WAVELETS ON TRIANGULATIONS OBTAINED BY 1-3 SPLITTING
• WEIGHTED HAAR WAVELETS ON THE SPHERE
• An optimal experimental design for the haar regression model
• Robust designs for wavelet approximations of regression models
• Minimax A- and D-optimal integer-valued wavelet designs for estimation
• D-optimal Designs for a Combined Simple Linear and Haar-Wavelet Regression Model

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