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math.PR2022
Berry-Esseen-type estimates for random variables with a sparse dependency graph
Maximilian Janisch, Thomas Lehéricy
We obtain Berry-Esseen-type bounds for the sum of random variables with a dependency graph and uniformly bounded moments of order using a Fourier transform approa…
math.PR2020★ 4 cited
Kolmogoroff's Strong Law of Large Numbers holds for pairwise uncorrelated random variables
Maximilian Janisch
Using the approach of N. Etemadi for the Strong Law of Large Numbers (SLLN) from 1981 and the elaboration of this approach by S. Csörgő, K. Tandori and V. Totik from 1983, I give w…