Computing maximin efficient experimental designs using the methods of semidefinite programming

DOI10.1007/s00184-011-0348-6zbMath1362.62151OpenAlexW2065673677MaRDI QIDQ1936672

Lenka Filová, Mária Trnovská, Radoslav Harman

Publication date: 6 February 2013

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-011-0348-6

zbMATH Keywords

semidefinite programmingpolynomial regressionoptimal designquadratic regression\(E_k \)-optimalitymaximin efficiency

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Semidefinite programming (90C22)

Related Items (4)

Optimal design of experiments via linear programming ⋮ Computing exact \(D\)-optimal designs by mixed integer second-order cone programming ⋮ Adaptive grid semidefinite programming for finding optimal designs ⋮ Criterion-Robust Experimental Designs for the Quadratic Regression on a Square and a Cube

Uses Software

• SeDuMi

Cites Work

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• \(E\)-optimal designs for polynomial regression
• Approximate D-optimal designs of experiments on the convex hull of a finite set of information matrices
• On the Sum of the Largest Eigenvalues of a Symmetric Matrix
• Robust and Efficient Designs for the Michaelis–Menten Model
• Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization
• Semidefinite Programming
• Applications of necessary and sufficient conditions for maximin efficient designs

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