Information Increasing Orderings in Experimental Design Theory

DOI10.2307/1403196zbMath0625.62061OpenAlexW2323318896MaRDI QIDQ3028122

Friedrich Pukelsheim

Publication date: 1987

Published in: International Statistical Review / Revue Internationale de Statistique (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0f7e1f5d90abfb464bdb90248aff66544f0f336c

zbMATH Keywords

A-optimalityE-optimalitysurvey paperpolarsgroup majorizationgeneralized meansLoewner orderinginformation functionalscomplete classquadratic regressiongeneral equivalence theoryInformation increasing orderingsrecent results on order relationstreatment and block relabelling groupuniversal and simultaneous optimality

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Foundations and philosophical topics in statistics (62A01) Statistical block designs (62K10)

Related Items (8)

Preorderings, monotone functions, and best rank \(r\) approximations with applications to classical MDS ⋮ Group invariant orderings and experimental designs ⋮ Experiments with mixtures: Optimal allocations for Becker's models ⋮ First and second order rotatability of experimental designs, moment matrices, and information surfaces ⋮ Invariant admissible and optimal designs in cubic regression on the \(\nu\)-ball ⋮ Admissible experimental designs in multiple polynomial regression ⋮ Optimality of experimental designs ⋮ Admissibility of experimental designs in linear regression with constant term

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