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ArticleOriginal scientific text

Title

Orthogonal series regression estimators for an irregularly spaced design

Authors 1

Affiliations

  1. Department of Standards, Central Statistical Office, Al. Niepodległości 208, 00-925 Warszawa, Poland

Abstract

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.

Keywords

ENG
convergence rates, nonparametric regression, orthogonal series estimator

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Applicationes Mathematicae
2000/27/3
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Pages:
309-318
Main language of publication
English
Received
1999-05-27
Accepted
2000-01-05
Published
2000
Exact and natural sciences