Robustness of optimal designs for correlated random variables
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Publication:947627
DOI10.1016/j.laa.2008.04.039zbMath1145.62054OpenAlexW1982712605MaRDI QIDQ947627
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
correlationD-optimalityHadamard matrixA-optimalityE-optimalityleast squares estimatorweighing designchemical balance
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=(xij)N×nwithxij=−1,0,1∗
- Optimal Weighing Designs
- Inequalities: theory of majorization and its applications
- Hadamard matrices and their applications
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