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Strong approximation of partial sums under dependence conditions with application to dynamical systems (1103.3241v1)
Published 16 Mar 2011 in math.PR
Abstract: In this paper, we obtain precise rates of convergence in the strong invariance principle for stationary sequences of real-valued random variables satisfying weak dependence conditions including strong mixing in the sense of Rosenblatt (1956) as a special case. Applications to unbounded functions of intermittent maps are given.
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