Strong uniform consistency rates of kernel estimators of cumulative distribution functions

Fuxia Cheng

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 14, 6803-6807

Abstract: In this paper we consider the uniform strong consistency, along with a rate, of the cumulative distribution function (CDF) estimator. We extend the extended Glivenko–Cantelli lemma (for empirical distribution function) in Fabian and Hannan (1985, pp. 80–83) to the kernel estimator of the CDF.

Date: 2017
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DOI: 10.1080/03610926.2015.1136417

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