Strong convergence in nonparametric estimation of regression functions

K. F. Cheng

研究成果: 雜誌貢獻文章同行評審

1 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)177-187
頁數11
期刊Periodica Mathematica Hungarica
14
發行號2
DOIs
出版狀態已發佈 - 六月 1983
對外發佈Yes

ASJC Scopus subject areas

  • Mathematics(all)

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