A Note on the Uniform Distribution on the Arcsin Points
METRIKA, Vol. 46, No. 1, August 1997
Posted: 8 Feb 1998
Abstract
In his book Pukelsheim [8] pointed out that designs supported at the arcsin points are very efficient for the statistical inference in a polynomial regression model. In this note we determine the canonical moments of a class of distributions which have nearly equal weights at the arcsin points. The class contains the D-optimal arcsin support design and the D1-optimal design for a polynomial regression. The results allow explicit representations of D-, and D1-efficiencies of these designs in all polynomial models with a degree less than the number of support points of the design.
JEL Classification: C10
Suggested Citation: Suggested Citation
Dette, Holger, A Note on the Uniform Distribution on the Arcsin Points. METRIKA, Vol. 46, No. 1, August 1997, Available at SSRN: https://ssrn.com/abstract=57988
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