[PDF][PDF] Precise approximations of Rademacher functionals by Stein's method and De Finetti's theorem

M Butzek - 2024 - hss-opus.ub.ruhr-uni-bochum.de
First of all I sincerely thank my supervisor Peter Eichelsbacher for the possibility to do my
PhD in his working group. Associated with it are our many interesting and fruitful …

Non-uniform Berry--Esseen bounds for Gaussian, Poisson and Rademacher processes

M Butzek, P Eichelsbacher - arXiv preprint arXiv:2409.09439, 2024 - arxiv.org
In this paper we obtain non-uniform Berry-Esseen bounds for normal approximations by the
Malliavin-Stein method. The techniques rely on a detailed analysis of the solutions of Stein's …