46 citations · 57 across the 5 of their papers we have counts for
5 papers
On mean central limit theorems for stationary sequences
Jérôme Dedecker, Emmanuel Rio
In this paper, we give estimates of the minimal distance between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationa…
Rates of convergence for minimal distances in the central limit theorem under projective criteria
Jérôme Dedecker, Florence Merlevède, Emmanuel Rio
In this paper, we give estimates of ideal or minimal distances between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationary martinga…
Some unbounded functions of intermittent maps for which the central limit theorem holds
J. Dedecker, C. Prieur
We compute some dependence coefficients for the stationary Markov chain whose transition kernel is the Perron-Frobenius operator of an expanding map of with a neutral…
Moderate deviations for stationary sequences of bounded random variables
Jérôme Dedecker, Florence Merlevède, Magda Peligrad +1
In this paper we derive the moderate deviation principle for stationary sequences of bounded random variables under martingale-type conditions. Applications to functions of -mix…
Parametrized Kantorovich-Rubinstein theorem and application to the coupling of random variables
Jerome Dedecker, Clementine Prieur, Paul Raynaud De Fitte
We prove a version for random measures of the celebrated Kantorovich-Rubinstein duality theorem and we give an application to the coupling of random variables which extends and uni…