Geodesic
Orthogonal series regression estimators for an irregularly spaced design
Applicationes Mathematicae, Tome 27 (2000) no. 3, pp. 309-318

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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.
DOI : 10.4064/am-27-3-309-318
Keywords: convergence rates, nonparametric regression, orthogonal series estimator 
Waldemar Popiński. Orthogonal series regression estimators for an irregularly spaced design. Applicationes Mathematicae, Tome 27 (2000) no. 3, pp. 309-318. doi: 10.4064/am-27-3-309-318
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