Statistica Sinica 8(1998), 1271-1274

D-OPTIMAL DESIGNS FOR POLYNOMIAL REGRESSION

WITH WEIGHT FUNCTION x/(1+x)

L. Imhof, O. Krafft and M. Schaefer

Technical University of Aachen

Abstract: For polynomial regression with weight function x/(1+x) for a polynomial is presented whose zeros are the support points of the D-optimal approximate design.

Key words and phrases: D-optimal design, Heun-type differential equation, oscillatory matrices, weighted polynomial regression.