Extended Glivenko–Cantelli Theorem in Nonparametric Regression

Fuxia Cheng, Jigao Yan and Lijian Yang

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 17, 3720-3725

Abstract: In this paper, we consider the uniform strong consistency of the cumulative distribution function estimator in nonparametric regression. We obtain the extended Glivenko–Cantelli theorem for the residual-based empirical distribution function.

Date: 2014
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DOI: 10.1080/03610926.2012.700377

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