Invariant admissible and optimal designs in cubic regression on the \(\nu\)-ball

DOI10.1016/0378-3758(92)90044-SzbMath0766.62044OpenAlexW2084454987MaRDI QIDQ1193807

Klaus Schneider, Berthold Heiligers

Publication date: 27 September 1992

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(92)90044-s

zbMATH Keywords

permutationsLöwner partial orderingsign changesapproximate design theoryessentially complete class of invariant designsinvariance of information matricesmultiple polynomial regression modelsrotatable designs

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Admissibility in statistical decision theory (62C15) Complete class results in statistical decision theory (62C07)

Related Items (9)

On third order rotatability ⋮ Algorithms for optimal design with application to multiple polynomial regression ⋮ Computing optimal approximate invariant designs for cubic regression on multidimensional balls and cubes ⋮ Optimal subsampling design for polynomial regression in one covariate ⋮ Admissible experimental designs in multiple polynomial regression ⋮ Optimal and robust invariant designs for cubic multiple regression ⋮ On optimal third order rotatable designs ⋮ Equivariance and invariance for optimal designs in generalized linear models exemplified by a class of gamma models ⋮ Minimum support invariant designs for multiple cubic regression

Cites Work

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• Admissible experimental designs in multiple polynomial regression
• General equivalence theory for optimum designs (approximate theory)
• Comparison of rotatable designs for regression on balls. I. (quadratic)
• Extrapolation designs and Phi//p-optimum designs for cubic regression on the q-ball
• Information Increasing Orderings in Experimental Design Theory
• Another Look at Rotatability
• Optimal Experimental Designs

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