On \(G\)-efficiency calculation for polynomial models

DOI10.1214/aos/1034713648zbMath0854.62066OpenAlexW2119200811MaRDI QIDQ1922381

Weng Kee Wong, Dette, Holger

Publication date: 1 September 1996

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

Full work available at URL: https://doi.org/10.1214/aos/1034713648

zbMATH Keywords

information matrixorthogonal polynomialsextreme pointsrobustness propertiesleast squares estimatorpolynomial modelsvariance functionsresponse surfacedesign space\(D\)-optimal designscanonical momentshomoscedasticityapproximate designs\(D\)-efficiencies\(G\)-efficiencies

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Numerical integration (65D30)

Related Items (5)

On theG-efficiency of the modified arcsin design ⋮ A relationship between efficiencies of marginal designs and the product design ⋮ On the minimum of the Christoffel function ⋮ D-optimum designs in multi-factor models with heteroscedastic errors ⋮ Optimal Characteristic Designs for Polynomial Models

Cites Work

• Optimal designs for trigonometric and polynomial regression using canonical moments
• Principal representations and canonical moment sequences for distributions on an interval
• Note on some \(\phi _ p\)-optimal designs for polynomial regression
• \(D_s\)-optimal designs for polynomial regression using continued fractions
• Optimal designs for large degree polynomial regression
• New identities for orthogonal polynomials on a compact interval
• Comparing robust properties of A, D, E and G-optimal designs
• The Equivalence of Two Extremum Problems
• Counting the homeless in Los Angeles County
• The design of experiments for discriminating between two rival models
• Optimal and Efficient Designs of Experiments
• On Hermite-Fejér interpolation sequences
• Geometry of moment spaces
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