Detail publikačního výsledku

A Comparative Study of Boundary Effects for Kernel Smoothing

POMĚNKOVÁ, J.; KOLÁČEK, J.

Originální název

A Comparative Study of Boundary Effects for Kernel Smoothing

Anglický název

A Comparative Study of Boundary Effects for Kernel Smoothing

Druh

Článek WoS

Originální abstrakt

The problem of boundary effects for nonparametric kernel regression is considered. We will follow the problem of bandwidth selection for Gasser-Muller estimator especially. There are two ways to avoid the difficulties caused by boundary effects in this work. The first one is 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.

Anglický abstrakt

The problem of boundary effects for nonparametric kernel regression is considered. We will follow the problem of bandwidth selection for Gasser-Muller estimator especially. There are two ways to avoid the difficulties caused by boundary effects in this work. The first one is 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

Bandwidth SelectionKernel EstimationNonparametric Regression

Klíčová slova v angličtině

Bandwidth SelectionKernel EstimationNonparametric Regression

Autoři

POMĚNKOVÁ, J.; KOLÁČEK, J.

Vydáno

01.10.2006

ISSN

1026-597X

Periodikum

Austrian Journal of Statistics

Svazek

35

Číslo

2-3

Stát

Rakouská republika

Strany od

281

Strany do

288

Strany počet

8

URL

https://www.webofscience.com/wos/woscc/full-record/WOS:000442430200017

BibTex

@article{BUT188376,
  author="Jitka {Dluhá} and Jan {Koláček}",
  title="A Comparative Study of Boundary Effects for Kernel Smoothing",
  journal="Austrian Journal of Statistics",
  year="2006",
  volume="35",
  number="2-3",
  pages="281--288",
  issn="1026-597X",
  url="https://www.webofscience.com/wos/woscc/full-record/WOS:000442430200017"
}