Nonparametric orthogonal series regression function estimation is investigated in the case of a fixed point design where the observation points are irregularly spaced in a finite interval [a,b]i ⊂ ℝ. Convergence rates for the integrated mean-square error and pointwise mean-square error are obtained in the case of estimators constructed using the Legendre polynomials and Haar functions for regression functions satisfying the Lipschitz condition.
@article{bwmeta1.element.bwnjournal-article-zmv27i3p309bwm,
author = {Waldemar Popi\'nski},
title = {Orthogonal series regression estimators for an irregularly spaced design},
journal = {Applicationes Mathematicae},
volume = {27},
year = {2000},
pages = {309-318},
zbl = {0990.62033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv27i3p309bwm}
}
Popiński, Waldemar. Orthogonal series regression estimators for an irregularly spaced design. Applicationes Mathematicae, Tome 27 (2000) pp. 309-318. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv27i3p309bwm/
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