Optimal design: Some geometrical aspects of D-optimality
- 1 August 1975
- journal article
- Published by Oxford University Press (OUP) in Biometrika
- Vol. 62 (2) , 313-320
- https://doi.org/10.1093/biomet/62.2.313
Abstract
The duality relationships between D-type optimal designs and problems of covering a subset of Euclidean space by aentral ellipsoids and ellipsoidal cylinders are described and consequences that aid the solution of either problem are discussed. It is shown that there are also degign duals for the problems of finding minimal covering spheres and ellipsoids or cylinders whose centres or axes are chosen optimally.Keywords
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