46 citations · 158 across the 52 of their papers we have counts for
3 papers · 2 filters
Rates of convergence in invariance principles for random walks on linear groups via martingale methods
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
In this paper, we give explicit rates in the central limit theorem and in the almost sure invariance principle for general R d-valued cocycles that appear in the study of the left…
Deviation inequalities for separately Lipschitz functionals of composition of random functions
Jérôme Dedecker, Paul Doukhan, Xiequan Fan
We consider a class of non-homogeneous Markov chains, that contains many natural examples. Next, using martingale methods, we establish some deviation and moment inequalities for s…
Criteria for Borel-Cantelli lemmas with applications to Markov chains and dynamical systems
Jérôme Dedecker, Florence Merlevède, Emmanuel Rio
Let (X k) be a strictly stationary sequence of random variables with values in some Polish space E and common marginal , and (A k) k>0 be a sequence of Borel sets in E. In this…