Complete classes of designs for nonlinear regression models and principal representations of moment spaces
Statistics Theory
2013-06-21 v1 Statistics Theory
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.
Keywords
Cite
@article{arxiv.1306.4872,
title = {Complete classes of designs for nonlinear regression models and principal representations of moment spaces},
author = {Holger Dette and Kirsten Schorning},
journal= {arXiv preprint arXiv:1306.4872},
year = {2013}
}
Comments
Published in at http://dx.doi.org/10.1214/13-AOS1108 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)