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

From MaRDI portal





scientific article; zbMATH DE number 7939101
Language Label Description Also known as
English
Berry-Esseen-type estimates for random variables with a sparse dependency graph
scientific article; zbMATH DE number 7939101

    Statements

    Berry-Esseen-type estimates for random variables with a sparse dependency graph (English)
    0 references
    0 references
    0 references
    5 November 2024
    0 references
    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.
    0 references
    0 references
    Berry-Esseen
    0 references
    cumulants
    0 references
    dependency graph
    0 references

    Identifiers