Rational designs
نویسندگان
چکیده
منابع مشابه
Optimal Designs for Rational Function Regression
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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In this paper we consider locally optimal designs problems for rational regression models. In the case where the degrees of polynomials in the numerator and denominator differ by at most 1 we identify an invariance property of the optimal designs if the denominator polynomial is palindromic, which reduces the optimization problem by 50%. The results clarify and extend the particular structure o...
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Previous Work: Our project draws on ideas developed by Myers, Zumel, and Garcia [2] about seamless design rationale capture. Their goal is to make rationale capture invisible to the users of CAD tools. Where their focus is on the detailed phases of the design process, we are focusing on the earlier, less formal phases of design. We are also building on ideas proposed by Baudin et al. [1], of us...
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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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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2019
ISSN: 0001-8708
DOI: 10.1016/j.aim.2019.06.012