Acta Univ. Agric. Silvic. Mendelianae Brun. 2004, 52, 69-78

https://doi.org/10.11118/actaun200452030069
Published online 2015-06-17

Optimum kernels

Jitka Poměnková

Ústav statistiky a operačního výzkumu, Mendelova zemědělská a lesnická univerzita v Brně, Zemědělská 5, 613 00 Brno, Česká republika

Kernel smoothers belong to the most popular nonparametric functional estimates. They provide a simple way of finding structure in data. Kernel smoothing can be very well applied on the regression model. In the context of kernel estimates of a regression function, the choice of a kernel from the different points o view can be investigated. The main idea of this paper is to present construction of the optimal kernel and edge optimal kernel by means of the Gegenbauer and Legendre polynomial.

References

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