Universal optimality of experimental designs: Definitions and a criterion

DOI10.2307/3314890zbMath0539.62087OpenAlexW2131505000MaRDI QIDQ3326658

James V. Bondar

Publication date: 1983

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3314890

zbMATH Keywords

reviewSchur convexityexamplesuniversal optimalitymatrix convex functions(M,S)-optimality

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (10)

Conditions for optimality in experimental designs ⋮ Group invariant orderings and experimental designs ⋮ Properties of information matrices for linear models and universal optimality of experimental designs ⋮ First and second order rotatability of experimental designs, moment matrices, and information surfaces ⋮ Equivalence theorem for Schur optimality of experimental designs ⋮ Optimal designs for binary data under logistic regression ⋮ On the optimality of a class of row-column designs ⋮ The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications ⋮ Generally optimal main-effect fractions of \(U\times V\) designs with \(U+V\) units ⋮ Universal optimality of digital nets and lattice designs

Cites Work

• Optimality of certain asymmetrical experimental designs
• Sur quelques applications des fonctions convexes et concaves au sens de I. Schur
• Optimum continuous block designs
• The interplay of optimality and combinatorics in experimental design
• Inequalities: theory of majorization and its applications

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