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@article{634133,
author = {Koláček, Jan and Poměnková, Jitka},
article_location = {Austria},
article_number = {2},
keywords = {bandwidth selection; boundary effects; kernel estimation; nonparametric regression},
language = {eng},
issn = {1026-597X},
journal = {Austrian Journal of Statistics},
title = {A Comparative Study of Boundary Effects for Kernel Smoothing},
volume = {35/2006},
year = {2006}
}
TY - JOUR
ID - 634133
AU - Koláček, Jan - Poměnková, Jitka
PY - 2006
TI - A Comparative Study of Boundary Effects for Kernel Smoothing
JF - Austrian Journal of Statistics
VL - 35/2006
IS - 2
SP - 281-289
EP - 281-289
SN - 1026597X
KW - bandwidth selection
KW - boundary effects
KW - kernel estimation
KW - nonparametric regression
N2 - 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.
ER -
KOLÁČEK, Jan and Jitka POMĚNKOVÁ. A Comparative Study of Boundary Effects for Kernel Smoothing. \textit{Austrian Journal of Statistics}. Austria, 2006, 35/2006, No~2, p.~281-289. ISSN~1026-597X.
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