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arXiv · 0911.1200

Law of the Iterated Logarithm for U-Statistics of Weakly Dependent Observations

Herold Dehling·Martin Wendler
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Abstract

The law of the iterated logarithm for partial sums of weakly dependent processes was intensively studied by Walter Philipp in the late 1960s and 1970s. In this paper, we aim to extend these results to nondegenerate U-statistics of data that are strongly mixing or functionals of an absolutely regular process.

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Herold Dehling, Martin Wendler. 2009-11-06. Law of the Iterated Logarithm for U-Statistics of Weakly Dependent Observations. https://arxiv.org/abs/0911.1200

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