Refinements of Berry–Esseen Inequalities in Terms of Lyapunov Coefficients

被引：0
作者：
Sergey G. Bobkov
机构：
[1] University of Minnesota,School of Mathematics
来源：
Journal of Fourier Analysis and Applications | 2023年 / 29卷
关键词：
Central limit theorem; Berry–Esseen inequality; Fourier–Stieltjes transform; Primary 60E; 60F;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We discuss some variants of the Berry–Esseen inequality in terms of Lyapunov coefficients which may provide sharp rates of normal approximation.
引用
收藏
相关论文
共 50 条
[41]   An optimal Berry-Esseen type theorem for integrals of smooth functions [J].
Mattner, Lutz ;
Shevtsova, Irina .
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2019, 16 (01) :487-530
[42]   Berry-Esseen bounds for random projections of lnp-balls [J].
Johnston, Samuel ;
Prochno, Joscha .
STUDIA MATHEMATICA, 2022, 266 (03) :291-322
[43]   Berry-Esseen bounds for parameter estimation of general Gaussian processes [J].
Douissi, Soukaina ;
Es-Sebaiy, Khalifa ;
Viens, Frederi G. .
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2019, 16 (01) :633-664
[44]   A Berry-Esseen Type Estimate for Dependent Systems on Transitive Graphs [J].
Shashkin, Alexey .
ADVANCES IN DATA ANALYSIS, 2010, :151-156
[45]   Berry-Esseen Theorem for Sample Quantiles with Locally Dependent Data [J].
Dey, Partha S. ;
Terlov, Grigory .
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2025, 22 :537-555
[46]   Optimal Berry-Esseen bound for parameter estimation of SPDE with small noise [J].
Yoon Tae Kim ;
Hyun Suk Park .
Journal of the Korean Statistical Society, 2018, 47 :364-378
[47]   Higher dimensional quasi-power theorem and Berry-Esseen inequality [J].
Heuberger, Clemens ;
Kropf, Sara .
MONATSHEFTE FUR MATHEMATIK, 2018, 187 (02) :293-314
[48]   Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences [J].
Krokowski, Kai ;
Reichenbachs, Anselm ;
Thale, Christoph .
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2016, 52 (02) :763-803
[49]   Weighted sums and Berry-Esseen type estimates in free probability theory [J].
Neufeld, Leonie .
PROBABILITY THEORY AND RELATED FIELDS, 2024, 190 (3-4) :803-879
[50]   Berry-Esseen estimates for regenerative processes under weak moment assumptions [J].
Guo, Xiaoqin ;
Peterson, Jonathon .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 129 (04) :1379-1412
12345