Computing A-optimal and E-optimal designs for regression models via semidefinite programming

DOI10.1080/03610918.2015.1030414zbMath1364.62209OpenAlexW2472752992MaRDI QIDQ5267895

Jane J. Ye, Julie Zhou, Wenjie Zhou

Publication date: 13 June 2017

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2015.1030414

zbMATH Keywords

semidefinite programmingA-optimalityE-optimalitynonlinear regressiontrigonometric regressionSeDuMi

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Semidefinite programming (90C22) Response surface designs (62K20)

Related Items

R-optimal designs for multi-response regression models with multi-factors, Using SeDuMi to find various optimal designs for regression models, Optimal Designs for Multi-Response Nonlinear Regression Models With Several Factors via Semidefinite Programming, Properties of optimal regression designs under the second-order least squares estimator, Minimax robust designs for regression models with heteroscedastic errors

Uses Software

• Matlab
• SeDuMi

Cites Work

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• D-optimal minimax regression designs on discrete design space
• Applications of semidefinite programming
• \(D\)-optimal designs for trigonometric regression models on a partial circle
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• Exact \(D\)-optimal designs for first-order trigonometric regression models on a partial circle
• Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models
• Optimal Designs for Trigonometric Regression
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Semidefinite Programming
• Optimal Designs for Rational Function Regression
• Optimal Design of Experiments