Some explicit solutions of c-optimal design problems for polynomial regression with no intercept

Dette Holger; Melas Viatcheslav B.; Shpilev Petr

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Some explicit solutions of c-optimal design problems for polynomial regression with no intercept

机译：没有截距的多项式回归的C-Optimal设计问题的一些明确解

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摘要

In this paper, we consider the optimal design problem for extrapolation and estimation of the slope at a given point, say z, in a polynomial regression with no intercept. We provide explicit solutions of these problems in many cases and characterize those values of z, where this is not possible.

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来源
《Annals of the Institute of Statistical Mathematics》 |2021年第1期|共22页
作者
Dette Holger; Melas Viatcheslav B.; Shpilev Petr;
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作者单位

Ruhr Univ Bochum Fak Math D-44780 Bochum Germany;

St Petersburg State Univ Math &

Mech Fac Univ Ave 28 St Petersburg 198504 Russia;

St Petersburg State Univ Math &

Mech Fac Univ Ave 28 St Petersburg 198504 Russia;

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原文格式 PDF
正文语种 eng
中图分类数理统计;
关键词
Polynomial regression; Extrapolation; Slope estimation; c-optimal designs;

机译：多项式回归;推断;斜率估计;C-最优设计;

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Some explicit solutions of c-optimal design problems for polynomial regression with no intercept

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