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June 2013 Complete classes of designs for nonlinear regression models and principal representations of moment spaces
Holger Dette, Kirsten Schorning
Ann. Statist. 41(3): 1260-1267 (June 2013). DOI: 10.1214/13-AOS1108

Abstract

In a recent paper Yang and Stufken [Ann. Statist. 40 (2012a) 1665–1685] gave sufficient conditions for complete classes of designs for nonlinear regression models. In this note we demonstrate that there is an alternative way to validate this result. Our main argument utilizes the fact that boundary points of moment spaces generated by Chebyshev systems possess unique representations.

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Holger Dette. Kirsten Schorning. "Complete classes of designs for nonlinear regression models and principal representations of moment spaces." Ann. Statist. 41 (3) 1260 - 1267, June 2013. https://doi.org/10.1214/13-AOS1108

Information

Published: June 2013
First available in Project Euclid: 13 June 2013

zbMATH: 1293.62156
MathSciNet: MR3113810
Digital Object Identifier: 10.1214/13-AOS1108

Subjects:
Primary: 62K05

Keywords: admissible design , Chebyshev system , complete classes of designs , locally optimal design , Moment spaces , principle representations

Rights: Copyright © 2013 Institute of Mathematical Statistics

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Vol.41 • No. 3 • June 2013
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