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- W2914847369 abstract "In this paper, we obtain uniform and non-uniform bounds on the Kolmogorov distance in the normal approximation for Jack deformations of the character ratio, by using Stein's method and zero-bias couplings. Our uniform bound comes very close to that conjectured by Fulman [J. Combin. Theory Ser. A, 108 (2004), 275--296]. As a by-product of the proof of the non-uniform bound, we obtain a Rosenthal-type inequality for zero-bias couplings." @default.
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- W2914847369 date "2019-02-09" @default.
- W2914847369 modified "2023-10-18" @default.
- W2914847369 title "On the error bound in the normal approximation for Jack measures" @default.
- W2914847369 hasPublicationYear "2019" @default.
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