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.
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Received March 11, 2005
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Fulman, J. An Inductive Proof of the Berry-Esseen Theorem for Character Ratios. Ann. Comb. 10, 319–332 (2006). https://doi.org/10.1007/s00026-006-0290-x
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DOI: https://doi.org/10.1007/s00026-006-0290-x