Abstract

In this paper, we consider the problem of constructing c-optimal designs for polynomial regression without an intercept. The special case of c = f '(z) (i.e., the vector of derivatives of the regression functions at some point z is selected as vector c) is considered. The analytical results available in the literature are briefly reviewed. An effective numerical method for finding f '(z)-optimal designs in cases in which an analytical solution cannot be constructed is proposed.

中文翻译：

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构造无截断多项式回归的c优化设计

摘要

在本文中，我们考虑为多项式回归构造无截距的c最优设计的问题。考虑了c = f  '（z）的特例（即，将回归函数在某个点z的导数选择为向量c）。简要回顾了文献中的分析结果。提出了一种在无法构造解析解的情况下寻找f  '（z）最优设计的有效数值方法。