An Inductive Proof of the Berry-Esseen Theorem for Character Ratios
Combinatorics
2007-05-23 v2 Probability
Abstract
Bolthausen 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.
Keywords
Cite
@article{arxiv.math/0503227,
title = {An Inductive Proof of the Berry-Esseen Theorem for Character Ratios},
author = {Jason Fulman},
journal= {arXiv preprint arXiv:math/0503227},
year = {2007}
}
Comments
revised version (main modification to the proof of Theorem 2.5)