Orthogonal series regression estimators for an irregularly spaced design

• Autorzy: Waldemar Popiński
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

convergence rates; nonparametric regression; orthogonal series estimator

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2000
• Tom: 27
• Numer: 3
• Strony: 309-318

Daty

wydano

2000

otrzymano

1999-05-27

poprawiono

2000-01-05

Twórcy

autor

Waldemar Popiński

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

Bibliografia

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