The Berry-Esseen bound for character ratios

DOI10.1090/S0002-9939-05-08177-3zbMath1093.60014OpenAlexW1719911825MaRDI QIDQ3376980

Qui-Man Shao, Zhong Gen Su

Publication date: 27 March 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08177-3

zbMATH Keywords

Plancherel measureStein's method

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial aspects of representation theory (05E10) Combinatorial probability (60C05)

Related Items (19)

Stein's method for concentration inequalities ⋮ Gaussian fluctuations of Young diagrams and structure constants of Jack characters ⋮ A Berry-Esseen bound for the lightbulb process ⋮ Martingales and descent statistics ⋮ The Berry-Esseen bound for identically distributed random variables by Stein method ⋮ An improvement of a nonuniform bound for unbounded exchangeable pairs ⋮ Stein's method and random character ratios ⋮ Stein's method and Narayana numbers ⋮ Vector-valued statistics of binomial processes: Berry-Esseen bounds in the convex distance ⋮ Fundamentals of Stein's method ⋮ On the error bound in the normal approximation for Jack measures ⋮ Berry-Esseen bounds of normal and nonnormal approximation for unbounded exchangeable pairs ⋮ Non-uniform Berry-Esseen bound by unbounded exchangeable pairs approach ⋮ Fourth moment theorems on the Poisson space in any dimension ⋮ Spectra of random linear combinations of matrices defined via representations and Coxeter generators of the symmetric group ⋮ Martingales and character ratios ⋮ Zero Biasing and Jack Measures ⋮ On the error bound in a combinatorial central limit theorem ⋮ New error bounds in multivariate normal approximations via exchangeable pairs with applications to Wishart matrices and fourth moment theorems

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