Strong approximation of partial sums under dependence conditions with application to dynamical systems

Details Strong approximation of partial sums under dependence conditions with application to dynamical systems Strong approximation of partial sums under dependence conditions with application to dynamical systems

2011-03-16

arxiv.org/abs/1103.3241v1

Mathematics

Probability

Scientific paper

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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