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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https://hal.archives-ouvertes.fr/hal-01801795
Contributor : Thierry Klein <>
Submitted on : Wednesday, January 9, 2019 - 2:30:09 PM
Last modification on : Monday, April 29, 2019 - 4:21:29 PM

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  • HAL Id : hal-01801795, version 1
  • ARXIV : 1901.09911

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Thierry Klein, Agnès Lagnoux, Pierre Petit. A conditional Berry-Esseen inequality. Journal of Applied Probability, Applied Probability Trust, In press. ⟨hal-01801795⟩

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