COMPLETE CLASSES OF DESIGNS FOR NONLINEAR REGRESSION MODELS AND PRINCIPAL REPRESENTATIONS OF MOMENT SPACES

• 成果类型: Article
• 署名作者: Dette, Holger; Schorning, Kirsten
• 署名单位: Ruhr University Bochum
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/13-AOS1108
• 发表日期: 2013
• 页码: 1260-1267
• 关键词: locally optimal designs

摘要

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.