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math.PR2017★ 1 cited
An alternative to the coupling of Berkes-Liu-Wu for strong approximations
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
In this paper we propose an alternative to the coupling of Berkes, Liu and Wu [1] to obtain strong approximations for partial sums of dependent sequences. The main tool is a new Ro…
math.PR2017
On the Komlós, Major and Tusnády strong approximation for some classes of random iterates
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
The famous results of Komlós, Major and Tusnády (see [15] and [17]) state that it is possible to approximate almost surely the partial sums of size n of i.i.d. centered random vari…