A note on optimal designs for estimating the slope of a polynomial regression

Holger  Dette; Viatcheslav B.  Melas; Petr  Shpilev

doi:10.1016/j.spl.2020.108992

A note on optimal designs for estimating the slope of a polynomial regression

Holger Dette, Viatcheslav B. Melas, Petr Shpilev

Кафедра статистического моделирования

Результат исследований: Научные публикации в периодических изданиях › статья

Аннотация

In this note we consider the optimal design problem for estimating the slope of a polynomial regression with no intercept at a given point, say z. In contrast to previous work, we investigate the model on the non-symmetric interval.

Язык оригинала	английский
Номер статьи	108992
Журнал	Statistics and Probability Letters
Ранняя дата в режиме онлайн	19 ноя 2020
DOI	https://doi.org/10.1016/j.spl.2020.108992
Состояние	Электронная публикация перед печатью - 19 ноя 2020

Ключевые слова

Polynomial regression
Slope estimation
c-optimal designs

Доступ к документу

10.1016/j.spl.2020.108992

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keywords = "Polynomial regression, Slope estimation, c-optimal designs, Polynomial regression, Slope estimation, c-optimal designs",

author = "Holger Dette and Melas, {Viatcheslav B.} and Petr Shpilev",

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AB - In this note we consider the optimal design problem for estimating the slope of a polynomial regression with no intercept at a given point, say z. In contrast to previous work, we investigate the model on the non-symmetric interval.

KW - Polynomial regression

KW - Slope estimation

KW - c-optimal designs

KW - Polynomial regression

KW - Slope estimation

KW - c-optimal designs

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M3 - Article

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