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Invited Discussion Paper Constrained Optimization of Experimental Design

 

作者: Dennis Cook,   Valery Fedorov,  

 

期刊: Statistics  （Taylor Available online 1995）
卷期: Volume 26, issue 2  

页码: 129-148

 

ISSN:0233-1888

 

年代: 1995

 

DOI:10.1080/02331889508802474

 

出版商: Gordon & Breach Science Publishers

 

关键词: AMS 1991 subject classifications;Primary 62K05;Convex design theory;equivalence theorems;large sample designs;optimization on probability measures

 

数据来源: Taylor

 

摘要:

This is an attempt to discuss various approaches developed in experimental design when constraints are imposed. These constraints may be on the total cost of the experiment, the location of the supporting point, the value of auxiliary objective functions, and so on. The basic idea of the paper is that all corresponding optimization problems can be imbedded in the convex theory of experimental design. Part 1 is concerned with the properties of optimal designs, while Part 2 is devoted mainly to numerical methods.

 

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