A note on the de la Garza phenomenon for locally optimal designs
Loading...
Date
2010-08-03
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
The celebrated de la Garza phenomenon states that for a polynomial regression
model of degree p-1 any optimal design can be based on at most p design points. In
a remarkable paper Yang (2010) showed that this phenomenon exists in many locally
optimal design problems for nonlinear models. In the present note we present a different view point on these findings using results about moment theory and Chebyshev systems. In particular, we show that this phenomenon occurs in an even larger class of models than considered so far. AMS subject classification: 62K05
Description
Table of contents
Keywords
Chebyshev system, Complete class theorem, Locally optimal design, Moment space, Saturated design