A note on optimal designs for estimating the slope of a polynomial regression

09/18/2020

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by   Holger Dette, et al.

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In this note we consider the optimal design problem for estimating the slope of a polynomial regression with no intercept at a given point, say z. In contrast to previous work, which considers symmetric design spaces we investigate the model on the interval [0, a] and characterize those values of z, where an explicit solution of the optimal design is possible.