Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0378-3758(01)00289-0
Title: A geometric method for singular c-optimal designs
Authors: Fan, S.K. 
Chaloner, K.
Keywords: Elfving's theorem
Equivalence theorem
Issue Date: 1-Apr-2003
Citation: Fan, S.K.,Chaloner, K. (2003-04-01). A geometric method for singular c-optimal designs. Journal of Statistical Planning and Inference 113 (1) : 249-257. ScholarBank@NUS Repository. https://doi.org/10.1016/S0378-3758(01)00289-0
Abstract: If a candidate c-optimal design gives a singular information matrix, an equivalence theorem from Silvey (1978) can be used to verify optimality. The theorem is difficult to use however, as it requires a generalized inverse of the information matrix but not all generalized inverses can be used. Silvey identified finding such an inverse as an open problem. A characterization of all generalized inverses that can be used is presented here, building on Elfving's (1952) geometric method for finding c-optimal designs and using the Elfving set. © 2002 Elsevier Science B.V. All rights reserved.
Source Title: Journal of Statistical Planning and Inference
URI: http://scholarbank.nus.edu.sg/handle/10635/105491
ISSN: 03783758
DOI: 10.1016/S0378-3758(01)00289-0
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