Optimal designs for estimating individual coefficients in polynomial regression with no intercept

06/19/2019

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by   Holger Dette, et al.

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In a seminal paper studden1968 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).