Polynomial boundary treatment for wavelet regression

Citation
Hs. Oh et al., Polynomial boundary treatment for wavelet regression, BIOMETRIKA, 88(1), 2001, pp. 291-298
Citations number
10
Categorie Soggetti
Biology,Multidisciplinary,Mathematics
Journal title
BIOMETRIKA
ISSN journal
00063444 → ACNP
Volume
88
Issue
1
Year of publication
2001
Pages
291 - 298
Database
ISI
SICI code
0006-3444(200103)88:1<291:PBTFWR>2.0.ZU;2-T
Abstract
To overcome boundary problems with wavelet regression, we propose a simple method that reduces bias at the boundaries. It is based on a combination of wavelet functions and low-order polynomials. The utility of the method is illustrated with simulation studies and a real example. Asymptotic results show that the estimators are competitive with other nonparametric procedure s.