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math.PR2024
Quantification of the Fourth Moment Theorem for Cyclotomic Generating Functions
Benedikt Rednoß, Christoph Thäle
This paper deals with sequences of random variables only taking values in . The probability generating functions of such random variables are polynomials of d…
math.PR2021
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…