On Minimally-supported D-optimal Designs for Polynomial Regression with Log-concave Weight Function
نویسندگان
چکیده
منابع مشابه
D-OPTIMAL DESIGNS FOR POLYNOMIAL REGRESSION WITH WEIGHT FUNCTION x/(1 + x)
For polynomial regression with weight function x/(1 + x) for x ∈ [0, a], a polynomial is presented whose zeros are the support points of the D-optimal approximate design.
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In the common polynomial regression model of degree m we consider the problem of determining the D-and D 1-optimal designs subject to certain constraints for the D 1-eeciencies in the models of degree m ? j; m ? j + 1; : : : ; m + k (m > j 0; k 0 given). We present a complete solution of these problems, which on the one hand allow a fast computation of the constrained optimal designs and on the...
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ژورنال
عنوان ژورنال: Metrika
سال: 2006
ISSN: 0026-1335,1435-926X
DOI: 10.1007/s00184-006-0072-9