Concentration functions and entropy bounds for discrete log-concave distributions

Author:

Bobkov Sergey G.,Marsiglietti Arnaud,Melbourne James

Abstract

AbstractTwo-sided bounds are explored for concentration functions and Rényi entropies in the class of discrete log-concave probability distributions. They are used to derive certain variants of the entropy power inequalities.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics and Probability,Theoretical Computer Science

Reference26 articles.

1. On the Rényi Entropy of Log-Concave Sequences

2. [12] Kapur, J. N. (1988) Generalised Cauchy and Student’s distributions as maximum-entropy distributions. Proc. Nat. Acad. Sci. India Sect. A 58 235–246.

3. On the entropy power inequality for the Rényi entropy of order [0,1].;Marsiglietti;IEEE Trans. Inform. Theory,2019

4. Chromatic polynomials and logarithmic concavity

5. [16] Madiman, M. , Melbourne, J. and Xu, P. (2017) Rogozin’s convolution inequality for locally compact groups. arXiv:1705.00642

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. Entropy and the discrete central limit theorem;Stochastic Processes and their Applications;2024-04

2. A discrete complement of Lyapunov’s inequality and its information theoretic consequences;The Annals of Applied Probability;2023-12-01

3. Approximate discrete entropy monotonicity for log-concave sums;Combinatorics, Probability and Computing;2023-11-13

4. Discrete Generalised Entropy Power Inequalities for Log-Concave Random Variables;2023 IEEE International Symposium on Information Theory (ISIT);2023-06-25

5. Bernoulli sums and Rényi entropy inequalities;Bernoulli;2023-05-01

同舟云学术

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