April 1, 2024Open Access

The Law of the Iterated Logarithm for Lp-Norms of Kernel Estimators of Cumulative Distribution Functions

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Abstract

In this paper, we consider the strong convergence of Lp-norms (p≥1) of a kernel estimator of a cumulative distribution function (CDF). Under some mild conditions, the law of the iterated logarithm (LIL) for the Lp-norms of empirical processes is extended to the kernel estimator of the CDF.

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Fuxia Cheng (Mon,) studied this question.

synapsesocial.com/papers/68e7115bb6db64358768a0c6 https://doi.org/https://doi.org/10.3390/math12071063

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