37 citations · 68 across the 4 of their papers we have counts for
5 papers
A note on optimal designs for estimating the slope of a polynomial regression
Holger Dette, Viatcheslav B. Melas, Petr Shpilev
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, whi…
Optimal designs for estimating individual coefficients in polynomial regression with no intercept
Holger Dette, Viatcheslav B. Melas, Petr Shpilev
In a seminal paper \cite{studden1968} characterized -optimal designs in regression models, where the regression functions form a Chebyshev system. He used these results to deter…
-optimal discriminating designs for Fourier regression models
Holger Dette, Viatcheslav B. Melas, Petr Shpilev
In this paper we consider the problem of constructing -optimal discriminating designs for Fourier regression models. We provide explicit solutions of the optimal design problem…
Robust T-optimal discriminating designs
Holger Dette, Viatcheslav B. Melas, Petr Shpilev
This paper considers the problem of constructing optimal discriminating experimental designs for competing regression models on the basis of the T-optimality criterion introduced b…
-optimal designs for discrimination between two polynomial models
Holger Dette, Viatcheslav B. Melas, Petr Shpilev
This paper is devoted to the explicit construction of optimal designs for discrimination between two polynomial regression models of degree and . In a fundamental paper, A…