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

Mathematics – Probability

Scientific paper

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typos corrrected

Scientific paper

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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