Skip to Main content Skip to Navigation
Journal articles

A conditional Berry-Esseen inequality

Thierry Klein 1 Agnès Lagnoux 2 P Petit 2
1 ENAC - Ecole Nationale de l'Aviation Civile
2 IMT - Institut de Mathématiques de Toulouse UMR5219
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.
Keywords : Bose-Einstein statistics 1991 Mathematics Subject Classification: 60F05 hashing with linear probing 62E20 occupancy conditional distribution branching processes random forests combinatorial problems Berry-Esseen inequality 60C05
Document type :
Journal articles
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download
https://hal.archives-ouvertes.fr/hal-01801795
Contributor : Thierry Klein <>
Submitted on : Wednesday, January 9, 2019 - 2:30:09 PM
Last modification on : Monday, June 14, 2021 - 3:19:20 PM

Files

Vignette du document
berry_esseen_REV.pdf
Files produced by the author(s)

Identifiers

Collections

CNRS | INSMI | UNIV-TLSE2 | IMT | ENAC | DEVI | UNIV-TLSE3 | UT1-CAPITOLE | INSA-TOULOUSE | INSA-GROUPE

Citation

Thierry Klein, Agnès Lagnoux, P Petit. A conditional Berry-Esseen inequality. Journal of Applied Probability, Cambridge University press, 2019, 56 (1), pp 76-90. ⟨10.1017/jpr.2019.7⟩. ⟨hal-01801795v3⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

270

Files downloads

319