O. Durieu

activity

20082020

most citedComparison between criteria leading to the weak invariance principle

22 citations · 69 across the 17 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math.PR2012

Empirical processes of iterated maps that contract on average

Olivier Durieu

We consider a Markov chain obtained by random iterations of Lipschitz maps $T_{i}$ chosen with a probability $p_{i} (x)$ depending on the current position $x$ . We assume this system has…

math.PR2012★ 8 cited

Approximating class approach for empirical processes of dependent sequences indexed by functions

Herold Dehling, Olivier Durieu, Marco Tusche

We study weak convergence of empirical processes of dependent data $(X_{i})_{i \geq 0}$ , indexed by classes of functions. Our results are especially suitable for data arising from dyna…