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arXiv · 1306.4872

Complete classes of designs for nonlinear regression models and principal representations of moment spaces

Holger Dette·Kirsten Schorning
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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. 2013-06-20. Complete classes of designs for nonlinear regression models and principal representations of moment spaces. https://doi.org/10.1214/13-aos1108

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