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April 2011 A note on the de la Garza phenomenon for locally optimal designs
Holger Dette, Viatcheslav B. Melas
Ann. Statist. 39(2): 1266-1281 (April 2011). DOI: 10.1214/11-AOS875


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.


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Holger Dette. Viatcheslav B. Melas. "A note on the de la Garza phenomenon for locally optimal designs." Ann. Statist. 39 (2) 1266 - 1281, April 2011.


Published: April 2011
First available in Project Euclid: 9 May 2011

zbMATH: 1216.62113
MathSciNet: MR2816354
Digital Object Identifier: 10.1214/11-AOS875

Primary: 62K05

Keywords: Chebyshev systems , Complete class theorem , locally optimal designs , Moment spaces , saturated designs

Rights: Copyright © 2011 Institute of Mathematical Statistics

Vol.39 • No. 2 • April 2011
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