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Biometrika 1974 61(2):299-302; doi:10.1093/biomet/61.2.299
© 1974 by Biometrika Trust
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A Lagrangian approach to optimal design

S. D. SILVEY and D. M. TITTERINGTON

Department of Statistics, University of Glasgow

A duality theorem is proved which involves a general concave function on the set of non-negative definite symmetric k x k matrices. Its relevance to a generalization of the Equivalence Theorem for D-optimal design measures is indicated.

Key Words: Duality • General Equivalence Theorem • Lagrangian theory • Optimal Design • Regression design


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