Berry-Esseen bounds in local limit theorems
Sergey Bobkov, Friedrich G\"otze

TL;DR
This paper develops Berry-Esseen bounds for the multidimensional local limit theorem, providing explicit error estimates based on Lyapunov coefficients and density maxima.
Contribution
It introduces new bounds in the local limit theorem that improve understanding of convergence rates in multidimensional settings.
Findings
Bounds expressed in terms of Lyapunov coefficients
Bounds depend on maxima of involved densities
Enhanced error estimates for multidimensional distributions
Abstract
Berry-Esseen-type bounds are developed in the multidimensional local limit theorem in terms of the Lyapunov coefficients and maxima of involved densities.
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Taxonomy
TopicsGraph theory and applications · Limits and Structures in Graph Theory · Point processes and geometric inequalities
