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Journal Articles Journal of Applied Probability Year : 2019

A conditional Berry-Esseen inequality

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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Dates and versions

hal-01801795 , version 1 (07-01-2015)
hal-01801795 , version 3 (09-01-2019)
hal-01801795 , version 2 (15-01-2021)

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Cite

Thierry Klein, A Lagnoux, P Petit. A conditional Berry-Esseen inequality. Journal of Applied Probability, 2019. ⟨hal-01801795v1⟩
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