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

preprint2020arXivOpen access

Abstract

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][0, a] and characterize those values of zz, where an explicit solution of the optimal design is possible.

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