156 citations · 398 across the 47 of their papers we have counts for
5 papers · 2 filters
The almost sure invariance principle for unbounded functions of expanding maps
Jerome Dedecker, Sébastien Gouëzel, Florence Merlevede
We consider two classes of piecewise expanding maps of : a class of uniformly expanding maps for which the Perron-Frobenius operator has a spectral gap in the space of b…
Strong approximation of partial sums under dependence conditions with application to dynamical systems
Florence Merlevède, Emmanuel Rio
In this paper, we obtain precise rates of convergence in the strong invariance principle for stationary sequences of real-valued random variables satisfying weak dependence conditi…
Almost Sure Invariance Principles via Martingale Approximation
Florence Merlevède, Costel Peligrad, Magda Peligrad
In this paper we estimate the rest of the approximation of a stationary process by a martingale in terms of the projections of partial sums. Then, based on this estimate, we obtain…
Rosenthal-type inequalities for the maximum of partial sums of stationary processes and examples
Florence Merlevède, Magda Peligrad
The aim of this paper is to propose new Rosenthal-type inequalities for moments of order higher than 2 of the maximum of partial sums of stationary sequences including martingales…
Rates of convergence in the strong invariance principle under projective criteria
Jérôme Dedecker, Paul Doukhan, Florence Merlevède
We give rates of convergence in the strong invariance principle for stationary sequences satisfying some projective criteria. The conditions are expressed in terms of conditional e…