Lower bounds on the rate of convergence of nonparametric regression estimates

András Antos, László 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

Keywords

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

ASJC Scopus subject areas

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

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