An Inductive Proof of the Berry-Esseen Theorem for Character Ratios
- 59 Downloads
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.
AMS Subject Classification.05E10 60C05
Keywords.character ratio Berry-Esseen theorem Stein’s method Plancherel measure Jack polynomial
Unable to display preview. Download preview PDF.