An Inductive Proof of the Berry-Esseen Theorem for Character Ratios

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dc.creatorFulman, Jason
dc.date2005-03-11
dc.date2006-08-08
dc.date.accessioned2026-07-07T06:39:33Z
dc.date.available2026-07-07T06:39:33Z
dc.descriptionBolthausen used a variation of Stein's method to give an inductive proof of the Berry-Esseen theorem for sums of independent, identically distributed random variables. We modify this technique to prove a Berry-Esseen theorem for character ratios of a random representation of the symmetric group on transpositions. An analogous result is proved for Jack measure on partitions.
dc.descriptionrevised version (main modification to the proof of Theorem 2.5)
dc.identifierhttps://arxiv.org/abs/math/0503227
dc.identifierhttp://arxiv.org/abs/math/0503227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101120
dc.subjectCombinatorics
dc.subjectProbability
dc.titleAn Inductive Proof of the Berry-Esseen Theorem for Character Ratios
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