Strong convergence in nonparametric estimation of regression functions

K. F. Cheng

Research output: Contribution to journalArticle

1 Citation (Scopus)


The nonparametric regression problem has the objective of estimating conditional expectation. Consider the model {Mathematical expression}, where the random variable Z has mean zero and is independent of X. The regression function R(x) is the conditional expectation of Y given X = x. For an estimator of the form {Mathematical expression}, we obtain the rate of strong uniform convergence {Mathematical expression}. Here X is a d-dimensional variable and C is a suitable subset of Rd.

Original languageEnglish
Pages (from-to)177-187
Number of pages11
JournalPeriodica Mathematica Hungarica
Issue number2
Publication statusPublished - Jun 1983
Externally publishedYes


  • AMS (MOS) subject classifications (1970): Primary 62G05, Secondary 60F15
  • Nonparametric regression
  • strong convergence

ASJC Scopus subject areas

  • Mathematics(all)

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