A functional-algebraic determination of \(D\)-optimal designs for trigonometric regression models on a partial circle.

DOI10.1016/S0167-7152(02)00152-9zbMath1056.62083OpenAlexW2094369389MaRDI QIDQ1871242

Stefanie Biedermann, Dette, Holger, Vyacheslav Borisovich Melas

Publication date: 7 May 2003

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(02)00152-9

zbMATH Keywords

\(D\)-optimalityDifferential equationImplicit function theoremTrigonometric regression

Mathematics Subject Classification ID

Optimal statistical designs (62K05) General nonlinear regression (62J02) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (5)

Exact \(D\)-optimal designs for first-order trigonometric regression models on a partial circle ⋮ Minimax designs for estimating slopes in a trigonometric regression model ⋮ \(D\)-optimal designs for weighted polynomial regression -- a functional approach ⋮ Constrained optimal discrimination designs for Fourier regression models ⋮ Optimal Designs for Trigonometric Regression

Cites Work

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• Optimal designs for trigonometric and polynomial regression using canonical moments
• Optimal exact designs on a circle or a circular arc
• Optimal designs for estimating individual coefficients in polynomial regression -- a functional approach
• Optimal designs for rational models and weighted polynomial regression
• Optimal designs for the identification of the order of a Fourier regression
• \(D\)-optimal designs for trigonometric regression models on a partial circle
• An Optimal Design Problem in Rhythmometry
• A note on the equivalence of D-optimal design measures for three rival linear models
• Minimax Designs in Two Dimensional Regression

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