Optimal designs with respect to Elfving's partial minimax criterion in polynomial regression

DOI10.1007/BF01720594zbMath0816.62053MaRDI QIDQ1336536

William J. Studden, Dette, Holger

Publication date: 3 July 1995

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

polynomial regressionChebyshev polynomialapproximate design theoryElfving's minimax criterionminimax optimal designscalar optimality

Mathematics Subject Classification ID

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

Related Items (4)

Adaptive optimal designs for dose-finding studies based on sigmoid \(E_{\max}\) models ⋮ Robust designs for probability estimation in binary response experiments ⋮ Optimal Characteristic Designs for Polynomial Models ⋮ Optimal designs with respect to Elfving's partial minimax criterion for heteroscedastic polynomial regression

Cites Work

• Admissible experimental designs in multiple polynomial regression
• Remez's procedure for finding optimal designs
• Minimax designs in linear regression models
• \(E\)-optimal designs for polynomial regression
• A unified approach to the construction of minimax designs
• Optimal Designs on Tchebycheff Points
• Minimax Designs
• Übersichtsarbeiten
• Optimum Allocation in Linear Regression Theory
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