Large-dimensional central limit theorem with fourth-moment error bounds on convex sets and balls
Author:
Affiliation:
1. Department of Statistics, Chinese University of Hong Kong
2. Graduate School of Mathematical Sciences, University of Tokyo
Publisher
Institute of Mathematical Statistics
Reference44 articles.
1. Eldan, R., Mikulincer, D. and Zhai, A. (2020). The CLT in high dimensions: Quantitative bounds via martingale embedding. Ann. Probab. 48 2494–2524.
2. BONIS, T. (2020). Stein’s method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem. Probab. Theory Related Fields 178 827–860.
3. FANG, X. and KOIKE, Y. (2021). High-dimensional central limit theorems by Stein’s method. Ann. Appl. Probab. 31 1660–1686.
4. BALL, K. (1993). The reverse isoperimetric problem for Gaussian measure. Discrete Comput. Geom. 10 411–420.
5. ZHILOVA, M. (2020). Nonclassical Berry–Esseen inequalities and accuracy of the bootstrap. Ann. Statist. 48 1922–1939.
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3