3 papers
math.PR2024
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…
math.PR2024
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…
math.PR2024
Moderate Deviations for Functionals over infinitely many Rademacher random variables
Marius Butzek, Peter Eichelsbacher, Benedikt RednoÃ
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…