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

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 o...

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Published in:arXiv.org 2020-09
Main Authors: Dette, Holger, Melas, Viatcheslav B, Shpilev, Petr
Format: Article
Language:English
Subjects:
Design optimization
Estimation
Polynomials
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Melas, Viatcheslav B
Shpilev, Petr
description 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.
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subjects Design optimization
Estimation
Polynomials
title A note on optimal designs for estimating the slope of a polynomial regression
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