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arXiv · 1901.09911

A conditional Berry-Esseen inequality

Thierry Klein·A Lagnoux·P Petit
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Abstract

As an extension of a central limit theorem established by Svante Janson, we prove a Berry-Esseen inequality for a sum of independent and identically distributed random variables conditioned by a sum of independent and identically distributed integer-valued random variables.

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Thierry Klein, A Lagnoux, P Petit. 2019-01-28. A conditional Berry-Esseen inequality. https://arxiv.org/abs/1901.09911

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