An Inductive Proof of the Berry-Esseen Theorem for Character Ratios |
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Authors: | Jason Fulman |
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Affiliation: | (1) Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA |
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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. Received March 11, 2005 |
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Keywords: | 05E10 60C05 |
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