Authors: Dette, Holger
Melas, Viatcheslav B.
Shpilev, Petr
Title: Optimal designs for estimating individual coefficients in polynomial regression with no intercept
Language (ISO): en
Abstract: In a seminal paper Studden (1968) characterized c-optimal designs in regression models, where the regression functions form a Chebyshev system. He used these results to determine the optimal design for estimating the individual coefficients in a polynomial regression model on the interval [-1; 1] explicitly. In this note we identify the optimal design for estimating the individual coefficients in a polynomial regression model with no intercept (here the regression functions do not form a Chebyshev system).
Subject Headings: polynomial regression
c-optimal design
Chebyshev system
URI: http://hdl.handle.net/2003/38137
http://dx.doi.org/10.17877/DE290R-20118
Issue Date: 2019
Appears in Collections:Sonderforschungsbereich (SFB) 823

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