156 citations · 398 across the 47 of their papers we have counts for
4 papers · 2 filters
Strong approximations for a class of dependent random variables with semi exponential tails
C Cuny, J Dedecker, F Merlevède
We give rates of convergence in the almost sure invariance principle for sums of dependent random variables with semi exponential tails, whose coupling coefficients decrease at a s…
Rates of convergence in the central limit theorem for the elephant random walk with random step sizes
Jérôme Dedecker, Xiequan Fan, Haijuan Hu +1
In this paper, we consider a generalization of the elephant random walk model. Compared to the usual elephant random walk, an interesting feature of this model is that the step siz…
Almost sure invariance principle for the Kantorovich distance between the empirical and the marginal distributions of strong mixing sequences
Jérôme Dedecker, Florence Merlevède
We prove a strong invariance principle for the Kantorovich distance between the empiricaldistribution and the marginal distribution of stationary -mixing sequences.
Limit theorems for iid products of positive matrices
C Cuny, J Dedecker, F Merlevède
We study stochastic properties of the norm cocycle associated with iid products of positive matrices. We obtain the almost sure invariance principle (ASIP) with rate o(n 1/p) under…