Total Variation Distance Estimates via L2-Norm for Polynomials in Log-concave Random Vectors
Author:
Affiliation:
1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia and National Research University Higher School of Economics, Russian Federation
Abstract
Funder
RFBR
DFG
CRC
Advancement of Theoretical Physics and Mathematics
Publisher
Oxford University Press (OUP)
Subject
General Mathematics
Link
https://academic.oup.com/imrn/article-pdf/2021/21/16494/42100438/rnz278.pdf
Reference23 articles.
1. On measurable polynomials on infinite-dimensional spaces;Arutyunyan;Dokl. Math.,2013
2. Logarithmically concave functions and sections of convex sets in RN;Ball;Stud. Math.,1988
3. Isoperimetric and analytic inequalities for log-concave probability measures;Bobkov;Ann. Probab.,1999
4. Remarks on the growth of ${\mathrm{L}}^{\mathrm{p}}$-norms of polynomials;Bobkov,2000
5. Some generalizations of Prokhorov’s results on Khinchin-type inequalities for polynomials;Bobkov;Theory Probab. Appl.,2000
Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Improved bounds for the total variation distance between stochastic polynomials;Stochastic Processes and their Applications;2024-04
2. Regularity of Distributions of Sobolev Mappings in Abstract Settings;Mathematical Notes;2023-12
3. Distributions of Polynomials in Gaussian Random Variables under Constraints on the Powers of Variables;Functional Analysis and Its Applications;2022-06
4. Regularity of linear and polynomial images of Skorohod differentiable measures;Advances in Mathematics;2022-03
5. Chebyshev--Hermite Polynomials and Distributions of Polynomials in Gaussian Random Variables;Theory of Probability & Its Applications;2022-02
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