D-optimal designs based on the second-order least squares estimator

DOI10.1007/s00362-015-0688-9zbMath1359.62317OpenAlexW316531273MaRDI QIDQ513688

Lucy L. Gao, Julie Zhou

Publication date: 7 March 2017

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-015-0688-9

zbMATH Keywords

convex optimizationpolynomial regressionoptimal designasymmetric distributiontrigonometric regressionmoment theory

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Response surface designs (62K20)

Related Items (6)

Optimal designs for multi-factor nonlinear models based on the second-order least squares estimator ⋮ Optimal designs for comparing curves in regression models with asymmetric errors ⋮ Optimal designs with string property under asymmetric errors and SLS estimation ⋮ Properties of optimal regression designs under the second-order least squares estimator ⋮ \(R\)-optimality criterion for regression models with asymmetric errors ⋮ \(I_L\)-optimal designs for regression models under the second-order least squares estimator

Uses Software

• CVX

Cites Work

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• D-optimal designs via a cocktail algorithm
• A semi-infinite programming based algorithm for finding minimax optimal designs for nonlinear models
• Optimal and robust designs for trigonometric regression models
• Second-order nonlinear least squares estimation
• Improving updating rules in multiplicative algorithms for computing \(D\)-optimal designs
• Monotonic convergence of a general algorithm for computing optimal designs
• \(D\)-optimal designs for trigonometric regression models on a partial circle
• Design of experiments in nonlinear models. Asymptotic normality, optimality criteria and small-sample properties
• A semi-infinite programming based algorithm for determining T-optimum designs for model discrimination
• Exact \(D\)-optimal designs for first-order trigonometric regression models on a partial circle
• New optimal design criteria for regression models with asymmetric errors
• An Introduction to Optimal Designs for Social and Biomedical Research
• Optimal Designs for Trigonometric Regression
• An algorithm for optimal designs on a design space
• Optimal Designs for Rational Function Regression
• Computing Optimal Experimental Designs via Interior Point Method

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