Skip Navigation

Biometrika 1975 62(2):313-320; doi:10.1093/biomet/62.2.313
© 1975 by Biometrika Trust
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by TITTERINGTON, D. M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Optimal design: Some geometrical aspects of D-optimality

D. M. TITTERINGTON

Department of Statistics, University of Glasgow

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.

Key Words: Covering problems • Design contruction • D-optimal designs • Multivariate normal inference • Strong Lagrangian duality theory


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.