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Berry-Esseen-type estimates for random variables with a sparse dependency graph - MaRDI portal

Berry-Esseen-type estimates for random variables with a sparse dependency graph (Q6633191)

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scientific article; zbMATH DE number 7939101
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Berry-Esseen-type estimates for random variables with a sparse dependency graph
scientific article; zbMATH DE number 7939101

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    Berry-Esseen-type estimates for random variables with a sparse dependency graph (English)
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    5 November 2024
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    The authors obtain Berry-Esseen-type bounds for the sum of random variables with a dependency graph and uniformly bounded moments of order \(\delta \in (2,\infty]\) using a Fourier transform approach. The bounds improve the state-of-the-art obtained by Stein's method in the regime where the degree of the dependency graph is large.
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    Berry-Esseen
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    cumulants
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    dependency graph
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