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

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