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arXiv · 2212.04287

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

Jérôme Dedecker·Florence Merlevède·Emmanuel Rio
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Abstract

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.

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Jérôme Dedecker, Florence Merlevède, Emmanuel Rio. 2022-12-08. Quadratic transportation cost in the conditional central limit theorem for dependent sequences. https://arxiv.org/abs/2212.04287

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