Optimal designs for rational models and weighted polynomial regression
نویسندگان
چکیده
منابع مشابه
Optimal Designs for Rational Models and Weighted Polynomial Regression by Holger Dette,
In this paper D-optimal designs for the weighted polynomial regresŽ 2 . n sion model of degree p with efficiency function 1 x are presented. Interest in these designs stems from the fact that they are equivalent to locally D-optimal designs for inverse quadratic polynomial models. For the unrestricted design space and p n, the D-optimal designs put equal masses on p 1 points which coincide with...
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We consider optimal non-sequential designs for a large class of (linear and nonlinear) regression models involving polynomials and rational functions with heteroscedastic noise also given by a polynomial or rational weight function. The proposed method treats D-, E-, A-, and Φp-optimal designs in a unified manner, and generates a polynomial whose zeros are the support points of the optimal appr...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1999
ISSN: 0090-5364
DOI: 10.1214/aos/1017938926