Some explicit solutions of c-optimal design problems for polynomial regression with no intercept

Holger Dette (), Viatcheslav B. Melas () and Petr Shpilev ()
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Holger Dette: Ruhr-Universität Bochum
Viatcheslav B. Melas: St. Petersburg State University
Petr Shpilev: St. Petersburg State University

Annals of the Institute of Statistical Mathematics, 2021, vol. 73, issue 1, No 4, 82 pages

Abstract: Abstract In this paper, we consider the optimal design problem for extrapolation and estimation of the slope at a given point, say z, in a polynomial regression with no intercept. We provide explicit solutions of these problems in many cases and characterize those values of z, where this is not possible.

Keywords: Polynomial regression; Extrapolation; Slope estimation; c-optimal designs (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10463-019-00736-0

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