A NOTE ON THE DE LA GARZA PHENOMENON FOR LOCALLY OPTIMAL DESIGNS

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 f...

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Veröffentlicht in:	The Annals of statistics 2011-04, Vol.39 (2), p.1266-1281
Hauptverfasser:	Dette, Holger, Melas, Viatcheslav B.
Format:	Artikel
Sprache:	eng
Schlagworte:	62K05 Applied mathematics Chebyshev systems complete class theorem Design efficiency Design optimization Experiment design Generalized method of moments Locally optimal designs Mathematical functions Mathematical vectors Matrices moment spaces Parametric models Polynomials Regression analysis saturated designs Studies Sufficient conditions
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