The Annals of Statistics
- Ann. Statist.
- Volume 39, Number 2 (2011), 1266-1281.
A note on the de la Garza phenomenon for locally optimal designs
Holger Dette and Viatcheslav B. Melas
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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 [Ann. Statist. 38 (2010) 2499–2524] 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.
Article information
Source
Ann. Statist. Volume 39, Number 2 (2011), 1266-1281.
Dates
First available in Project Euclid: 9 May 2011
Permanent link to this document
http://projecteuclid.org/euclid.aos/1304947050
Digital Object Identifier
doi:10.1214/11-AOS875
Mathematical Reviews number (MathSciNet)
MR2816354
Zentralblatt MATH identifier
1216.62113
Subjects
Primary: 62K05: Optimal designs
Keywords
Locally optimal designs saturated designs complete class theorem moment spaces Chebyshev systems
Citation
Dette, Holger; Melas, Viatcheslav B. A note on the de la Garza phenomenon for locally optimal designs. Ann. Statist. 39 (2011), no. 2, 1266--1281. doi:10.1214/11-AOS875. http://projecteuclid.org/euclid.aos/1304947050.
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