D-optimal design for Becker's minimum polynomial

Ralf-Dieter Hilgers

Statistics & Probability Letters, 2000, vol. 49, issue 2, 175-179

Abstract: Becker's minimum polynomial (e.g. Becker, 1968, J. Roy. Statist. Soc. Ser. B 30, 349-358.) of order [nu] on the (unit) q-simplex including the minimum functions over all subsets of at most [nu][less-than-or-equals, slant]q variables is considered. D-optimal approximate designs for this model are shown to be supported on the barycenters. The minimum support design concentrated on the barycenters corresponding to the regression functions is optimal for [nu]=q whereas it fails to be optimal for [nu]

Keywords: Mixture; experiments; Minimum; polynomial; Simplex; centroid; design; D-optimal; (approximate); design (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (2)

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