207 citations · 303 across the 11 of their papers we have counts for
13 papers
Normal approximation for partial sums: general convex costs
Jérôme Dedecker, Florence Merlevède, Emmanuel Rio
We provide non-asymptotic bounds and asymptotic limits for convex transport costs between the distribution of partial sums of independent and identically distributed square integra…
Deviation inequalities for dependent sequences with applications to strong approximations
J Dedecker, F Merlevède, Emmanuel Rio
In this paper, we give precise rates of convergence in the strong invariance principle for stationary sequences of bounded real-valued random variables satisfying weak dependence c…
Quadratic transportation cost in the conditional central limit theorem for dependent sequences
Jérôme Dedecker, Florence Merlevède, Emmanuel Rio
In this paper, we give estimates of the quadratic transportation cost in the conditional central limit theorem for a large class of dependent sequences. Applications to irreducible…
Rates of convergence in the central limit theorem for martingales in the non stationary setting
Jérôme Dedecker, Florence Merlevède, Emmanuel Rio
In this paper, we give rates of convergence, for minimal distances and for the uniform distance, between the law of partial sums of martingale differences and thelimiting Gaussian…
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…
Strong approximation results for the empirical process of stationary sequences
Jérôme Dedecker, Florence Merlevède, Emmanuel Rio
We prove a strong approximation result for the empirical process associated to a stationary sequence of real-valued random variables, under dependence conditions involving only ind…