Quadratic transportation cost in the conditional central limit theorem for dependent sequences

Jérôme Dedecker, Florence Merlevède, Emmanuel Rio

Published 2022-12-08Version 1

In this paper, we give estimates of the quadratic transportation cost in the conditional central limit theorem for a large class of dependent sequences. Applications to irreducible Markov chains, dynamical systems generated by intermittent maps and $\tau$-mixing sequences are given.