Detail publikačního výsledku

A Comparative Study of Boundary Effects for Kernel Smoothing

Jan Koláček, Jitka Poměnková

Originální název

A Comparative Study of Boundary Effects for Kernel Smoothing

Anglický název

A Comparative Study of Boundary Effects for Kernel Smoothing

Druh

Stať ve sborníku v databázi WoS či Scopus

Anglický abstrakt

The problem of boundary effects for nonparametric kernel regression is considered. We will follow the problem of bandwidth selection for Gasser--Mueller estimator especially. There are two ways to avoid the difficulties caused by boundary effects in this work. The first one si to assume the circular design. This idea is effective for smooth periodic regression functions mainly. The second presented method is reflection method for kernel of the second order. The reflection method has an influence on the estimate outside edge points. The method of penalizing functions is used as a bandwidth selector. This work compares both techniques in a simulation study.

Klíčová slova v angličtině

bandwidth selection, boundary effects, kernel estimation, nonparametric regression

Autoři

Jan Koláček, Jitka Poměnková

Vydáno

01.01.2005

Nakladatel

Institute of Statistics, Graz University of Technology, Austria

Kniha

Austrian Journal of Statistics

Edice

33

Strany od

26

Strany počet

7

BibTex

@inproceedings{BUT14906,
  author="Jan {Koláček}",
  title="A Comparative Study of Boundary Effects for Kernel Smoothing",
  booktitle="Austrian Journal of Statistics",
  year="2005",
  series="33",
  pages="7",
  publisher="Institute of Statistics, Graz University of Technology, Austria"
}