Optimal designs for estimating individual coefficients in Fourier regression models

DOI10.1214/aos/1065705122zbMath1046.62076OpenAlexW2077504768MaRDI QIDQ1431444

Dette, Holger, Vyacheslav Borisovich Melas

Publication date: 9 June 2004

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1065705122

zbMATH Keywords

implicit function theoremChebyshev approximation\(c\)-optimalityestimating individual coefficients

Mathematics Subject Classification ID

Optimal statistical designs (62K05) General nonlinear regression (62J02)

Related Items (19)

Orthogonality and \(D\)-optimality of the U-type design under general Fourier regression models ⋮ Exact \(D\)-optimal designs for first-order trigonometric regression models on a partial circle ⋮ \(T\)-optimal discriminating designs for Fourier regression models ⋮ Equivalence theorem for singular \(L\)-optimal designs ⋮ Recent advances in directional statistics ⋮ D-optimal designs for full and reduced Fourier regression models ⋮ Optimal designs for trigonometric regression models ⋮ Model-robust \(R\)-optimal designs in linear regression models ⋮ \(I^r_L\)-optimal designs for a hierarchically ordered system of regression models ⋮ Optimal and robust designs for trigonometric regression models ⋮ Optimal designs for regression with spherical data ⋮ Optimal designs for estimating individual coefficients in Fourier regression models ⋮ Exact Bayesian designs for count time series ⋮ \(L\) -optimal designs in the trigonometric regression model on the full circle ⋮ Computing \(c\)-optimal experimental designs using the simplex method of linear programming ⋮ A semidefinite programming study of the Elfving theorem ⋮ On the functional approach to optimal designs for nonlinear models ⋮ T-optimal designs for multi-factor polynomial regression models via a semidefinite relaxation method ⋮ Standardized maximin criterion for discrimination and parameter estimation of nested models

Cites Work

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• Optimal weights for experimental designs on linearly independent support points
• Optimal designs for trigonometric and polynomial regression using canonical moments
• \(D_s\)-optimal designs for polynomial regression using continued fractions
• General equivalence theory for optimum designs (approximate theory)
• Lattice-based \(D\)-optimum design for Fourier regression
• Optimal designs for estimating individual coefficients in polynomial regression -- a functional approach
• Optimal designs for estimating individual coefficients in Fourier regression models
• Optimal designs for the identification of the order of a Fourier regression
• \(E\)-optimal designs for rational models
• \(D\)-optimal designs for trigonometric regression models on a partial circle
• \(E\)-optimal designs for polynomial regression
• Optimum Designs in Regression Problems
• An Optimal Design Problem in Rhythmometry
• Optimal designs for exponential regression
• A note on the equivalence of D-optimal design measures for three rival linear models
• Optimal Designs on Tchebycheff Points
• Übersichtsarbeiten

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