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.
https://hal.archives-ouvertes.fr/hal-01801795
Contributor : Thierry Klein
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Submitted on : Wednesday, January 9, 2019 - 2:30:09 PM
Last modification on : Friday, April 12, 2019 - 4:22:51 PM
Thierry Klein, Agnès Lagnoux, Pierre Petit. A conditional Berry-Esseen inequality. Journal of Applied Probability, Applied Probability Trust, In press. ⟨hal-01801795⟩
