6 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…
Some remarks on Gordin-Lifšic's condition for martingale approximations
Jèrôme Dedecker, Florence Merlevède
In this note, we study a condition introduced by Gordin and Lif{\v s}ic in 1981 to establish the Central Limit Theorem for additive functionals of stationary Markov chains with nor…
On Berry Esseen type estimates for randomized Martingales in the non stationary setting
J Dedecker, F Merlevède, M Peligrad +1
In this paper, we consider partial sums of triangular martingale differences weighted by random variables drawn uniformly on the sphere, and globally independent of the martingale…
On the weak invariance principle for random fields with commuting filtrations under L1-projective criteria
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
We consider a field where arecommuting transformations, one of them at least being ergodic. Considering the case…
Rates in the central limit theorem for random projections of Martingales
J Dedecker, F Merlevède, M Peligrad
In this paper, we consider partial sums of martingale differences weighted by random variables drawn uniformly on the sphere, and globally independent of the martingale differences…
Rates in almost sure invariance principle for nonuniformly hyperbolic maps
C Cuny, J Dedecker, A Korepanov +1
We prove the Almost Sure Invariance Principle (ASIP) with close to optimal error rates for nonuniformly hyperbolic maps. We do not assume exponential contraction along stable leave…