关于估计多项式回归斜率的最优设计的注记
A note on optimal designs for estimating the slope of a polynomial regression
摘要:
在本说明中,我们考虑用于估计在给定点(例如z)无截距的多项式回归的斜率的最优设计问题。与以前的工作,它认为对称的设计空间,我们调查的间隔$[0, a]$模型和表征这些值的$z$,其中明确的解决方案的最优设计是可能的。
英文摘要:
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, which considers symmetric design spaces we investigate the model on the interval $[0, a]$ and characterize those values of $z$, where an explicit solution of the optimal design is possible.
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