Publication detail

A Comparative Study of Boundary Effects for Kernel Smoothing

POMĚNKOVÁ, J. KOLÁČEK, J.

Original Title

A Comparative Study of Boundary Effects for Kernel Smoothing

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

Bandwidth SelectionKernel EstimationNonparametric Regression

Authors

POMĚNKOVÁ, J.; KOLÁČEK, J.

Released

1. 10. 2006

ISBN

1026-597X

Periodical

Austrian Journal of Statistics

Year of study

35

Number

2-3

State

Republic of Austria

Pages from

281

Pages to

288

Pages count

8

URL

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

BibTex

@article{BUT188376,
  author="Jitka {Poměnková} 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"
}