Berry–Esseen bounds in the local limit theorems

Abstract Berry–Esseen-type bounds are developed in the multidimensional local limit theorem in terms of the Lyapunov coefficients and maxima of involved densities.

Authors

Friedrich Götze (ORCID: https://orcid.org/0000-0003-4671-3447)
Sergey G. Bobkov (ORCID: https://orcid.org/0009-0006-9352-4592)

Institutions

University of Minnesota (US)
Bielefeld University (DE)

Publication Details

Journal: Lithuanian Mathematical Journal
Published: 2025-01-01
DOI: https://doi.org/10.1007/s10986-025-09659-1
Citations: 2
Primary Topic: Point processes and geometric inequalities
Type: article
Field-Weighted Citation Impact: 7.45

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article

Berry–Esseen bounds in the local limit theorems

Friedrich Götze, Sergey G. Bobkov

Jan 1, 2025

2 citations

Lithuanian Mathematical Journal

Point processes and geometric inequalities

7.45

article

Berry–Esseen bounds in the local limit theorems

Friedrich Götze, Sergey G. Bobkov

January 1, 2025article en

2 citations

Abstract

Abstract Berry–Esseen-type bounds are developed in the multidimensional local limit theorem in terms of the Lyapunov coefficients and maxima of involved densities.

Lithuanian Mathematical JournalVol. 65(1)

University of Minnesota (US), Bielefeld University (DE)

Openalex Percentile: Top 4%

Point processes and geometric inequalities

7.45

DOI Open Access PDF OpenAlex

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Berry–Esseen bounds in the local limit theorems — Friedrich Götze, Sergey G. Bobkov · Lithuanian Mathematical Journal (2025) | TGRS Research Map | TGRS