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.
|Translated title of the contribution||Построение c-оптимальных планов для полиномиальной регрессии без свободного члена.|
|Journal||Vestnik St. Petersburg University: Mathematics|
|State||Published - 2020|
- c-optimal designs
- f '(z)-optimal designs
- designs optimal for estimating the derivative
- polynomial regression with no intercept