Maximal inequalities via bracketing with adaptive truncation (Q1863435)

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scientific article; zbMATH DE number 1879948
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Maximal inequalities via bracketing with adaptive truncation
scientific article; zbMATH DE number 1879948

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    Maximal inequalities via bracketing with adaptive truncation (English)
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    11 March 2003
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    A recursive interpretation for the technique (bracketing with adaptive truncation) is provided. A simple bound is derived for the expected value of the supremum of an empirical process. This leads to a simpler derivation of a functional central limit theorem under less number of assumptions about processes and functionals indexed by sets of functions.
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    bracketing
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    adaptive truncation
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    empirical process
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    functional central limit theorem
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