Year: 2010
Type: report
Abstract: The celebrated de la Garza phenomenon states that for a polynomial regression model of degree p-1 any optimal design can be based on at most p design points. In a remarkable paper Yang (2010) showed that this phenomenon exists in many locally optimal design problems for nonlinear models. In the present note we present a different view point on these findings using results about moment theory and Chebyshev systems. In particular, we show that this phenomenon occurs in an even larger class of models than considered so far. AMS subject classification: 62K05
Authors: Dette, Holger, Melas, Viatcheslav B.
Institutions: St Petersburg University, Ruhr University Bochum
Language: English
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
Awards: G1971118288, G2994312516
OpenAlex ID: W3106253201