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math.PR2023
A Sharp Gaussian Tail Bound for Sums of Uniforms
Xinjie He, Tomasz Tkocz, Katarzyna Wyczesany
We prove that the tail probabilities of sums of independent uniform random variables, up to a multiplicative constant, are dominated by the Gaussian tail with matching variance and…
math.PR2023★ 3 cited
Distributional stability of the Szarek and Ball inequalities
Alexandros Eskenazis, Piotr Nayar, Tomasz Tkocz
We prove an extension of Szarek's optimal Khinchin inequality (1976) for distributions close to the Rademacher one, when all the weights are uniformly bounded by a fract…