A procedure for finding an improved upper bound on the number of optimal design points

作者：Hyun Seung Won^*; Yang Min; Flournoy Nancy

来源：Computational Statistics & Data Analysis, 2013, 58: 276-282.

DOI：10.1016/j.csda.2012.08.012

• Caratheodory's theorem
• Nonlinear regression
• Cardinality of design
• Experimental design

Knowing an upper bound on the number of optimal design points greatly simplifies the search for an optimal design. Caratheodory's Theorem is commonly used to identify an upper bound. However, the upper bound from Caratheodory's Theorem is relatively loose when there are three or more parameters in the model. In this paper, an alternative approach of finding a sharper upper bound for classical optimality criteria is proposed. Examples are given to demonstrate how to use the new approach. Published by Elsevier B.V.

• 出版日期2013-2