44 citations · 216 across the 27 of their papers we have counts for
32 papers
Non-uniform Berry--Esseen bounds for Gaussian, Poisson and Rademacher processes
Marius Butzek, Peter Eichelsbacher
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 Stei…
A surrogate by exchangeability approach to the Curie-Weiss model
Yacine Barhoumi-Andréani, Marius Butzek, Peter Eichelsbacher
We introduce a new general concept of surrogate random variable, the ``surrogate by exchangeability'' that allows to study the class of random variables that can be decomposed by m…
Moderate Deviations for Functionals over infinitely many Rademacher random variables
Marius Butzek, Peter Eichelsbacher, Benedikt Rednoß
In this paper, moderate deviations for normal approximation of functionals over infinitely many Rademacher random variables are derived. They are based on a bound for the Kolmogoro…
A simplified second-order Gaussian Poincaré inequality in discrete setting with applications
Peter Eichelsbacher, Benedikt Rednoß, Christoph Thäle +1
In this paper, a simplified second-order Gaussian Poincaré inequality for normal approximation of functionals over infinitely many Rademacher random variables is derived. It is bas…
Kolmogorov bounds for decomposable random variables and subgraph counting by the Stein-Tikhomirov method
Peter Eichelsbacher, Benedikt Rednoß
In his work \cite{Ti80}, Tikhomirov combined elements of Stein's method with the theory of characteristic functions to derive Kolmogorov bounds for the convergence rate in the cent…
Optimal Variance--Gamma approximation on the second Wiener chaos
Ehsan Azmoodeh, Peter Eichelsbacher, Christoph Thäle
In this paper, we consider a target random variable $Y \sim \CVG$ distributed according to a centered Variance--Gamma distribution. For a generic random element in the s…