Robustness of optimal designs for correlated random variables

DOI10.1016/j.laa.2008.04.039zbMath1145.62054OpenAlexW1982712605MaRDI QIDQ947627

Chi Song Wong, Joe Masaro

Publication date: 6 October 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.04.039

zbMATH Keywords

correlationD-optimalityHadamard matrixA-optimalityE-optimalityleast squares estimatorweighing designchemical balance

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Factorial statistical designs (62K15) Robust parameter designs (62K25)

Related Items (2)

E-optimal and highly E-efficient designs with (mod 4) correlated observations ⋮ Uniquely E-optimal designs with \(n \equiv 2 \pmod{4}\) correlated observations

Cites Work

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• Further results on construction methods for some A- and D-optimal weighing designs when N\(\equiv 3\) (mod 4)
• On the optimality of chemical balance weighing designs
• Comparison of designs equivalent under one or two criteria
• A-optimal design matrices
• A-optimal weighing designs when N\(\equiv 3(mod\,4)\)
• Robustness of \(A\)-optimal designs
• \(D\)-optimal designs for correlated random vectors
• An optimization problem with applications to optimal design theory
• Optimality of some weighing and \(2^n\) fractional factorial designs
• Construction methods for D-optimum weighing designs when n=3(mod 4)
• General equivalence theory for optimum designs (approximate theory)
• Optimality of certain asymmetrical experimental designs
• Determinantenabschätzung für binäre Matrizen mit \(n\equiv 3\bmod 4\)
• Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
• A-optimal design matricesX=(x_ij)_N×nwithx_ij=−1,0,1^∗
• Optimal Weighing Designs
• Inequalities: theory of majorization and its applications
• Hadamard matrices and their applications

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