Mathematics – Statistics Theory
Scientific paper
2012-01-26
Mathematics
Statistics Theory
Scientific paper
Following the works of Berthet (1997), we first obtain exact clustering rates
in the functional law of the iterated logarithm for the uniform empirical and
quantile processes and for their increments. In a second time, we obtain
functional Chung-type limit laws for the local empirical process for a class of
target functions on the border of the Strassen set.
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