Computing \(E\)-optimal polynomial regression designs.

DOI10.1016/0378-3758(95)00190-5zbMath1076.62539OpenAlexW2050419387MaRDI QIDQ1817298

Berthold Heiligers

Publication date: 1996

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(95)00190-5

zbMATH Keywords

Chebyshev systemChebyshev approximationE-optimal designsWeighted polynomial regressionApproximate designsEquioscillating polynomialRemez's algorithm

Mathematics Subject Classification ID

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

Related Items (6)

\(E\)-optimal designs for polynomial regression without intercept ⋮ V-optimal designs for heteroscedastic regression ⋮ E-optimal designs for polynomial spline regression ⋮ Unnamed Item ⋮ \(E\)-optimal designs for rational models ⋮ Locally asymptotically optimal designs for testing in logistic regression.

Cites Work

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• A note on \(E\)-optimal designs for weighted polynomial regression
• Optimal weights for experimental designs on linearly independent support points
• Further characterizations of design optimality and admissibility for partial parameter estimation in linear regression
• Remez's procedure for finding optimal designs
• Totally nonnegative moment matrices
• \(E\)-optimal designs in weighted polynomial regression
• A matrix optimization problem
• \(E\)-optimal designs for polynomial regression
• Equioscillation under nonuniqueness in the approximation of continuous functions
• On c-optimal design measures
• On a class of algorithms from experimental design theory
• Optimal Experimental Designs
• Optimal Designs on Tchebycheff Points

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