Lower bounds on the rate of convergence of nonparametric regression estimates

András Antos, L. Györfi, Michael Kohler

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We show that there exist individual lower bounds on the rate of convergence of nonparametric regression estimates, which are arbitrarily close to Stone's minimax lower bounds.

Original languageEnglish
Pages (from-to)91-100
Number of pages10
JournalJournal of Statistical Planning and Inference
Volume83
Issue number1
Publication statusPublished - Jan 1 2000

Fingerprint

Regression Estimate
Nonparametric Regression
Rate of Convergence
Lower bound
Minimax
Nonparametric regression
Rate of convergence
Lower bounds

Keywords

  • Individual rates of convergence
  • Nonparametric regression
  • Primary 62G20
  • Secondary 62G05

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Applied Mathematics
  • Statistics and Probability

Cite this

Lower bounds on the rate of convergence of nonparametric regression estimates. / Antos, András; Györfi, L.; Kohler, Michael.

In: Journal of Statistical Planning and Inference, Vol. 83, No. 1, 01.01.2000, p. 91-100.

Research output: Contribution to journalArticle

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