Bernoulli sums and Rényi entropy inequalities-Reference-Cited by-同舟云学术

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Bernoulli sums and Rényi entropy inequalities

Published:2023-05-01 Issue:2 Volume:29 Page:
ISSN:1350-7265
Container-title:Bernoulli
language:
Short-container-title:Bernoulli

Author:

Madiman Mokshay¹,Melbourne James²,Roberto Cyril³

Affiliation:

1. University of Delaware, Department of Mathematical Sciences, 501 Ewing Hall, Newark DE 19716, USA

2. Centro de Investigación en Matemáticas, Probabilidad y Estadísticas, 36023 Guanajuato, Gto, México

3. MODAL’X, UMR CNRS 9023, FP2M, CNRS FR 2036, UPL, Université Paris Nanterre, 200 avenue de la République 92000 Nanterre, France

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Subject

Statistics and Probability

Reference71 articles.

1. Stam, A.J. (1959). Some inequalities satisfied by the quantities of information of Fisher and Shannon. Inf. Control 2 101–112.

2. Shannon, C.E. (1948). A mathematical theory of communication. Bell Syst. Tech. J. 27 379–423, 623–656. 10.1002/j.1538-7305.1948.tb01338.x

3. Brascamp, H.J. and Lieb, E.H. (1976). On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation. J. Funct. Anal. 22 366–389. 10.1016/0022-1236(76)90004-5

4. Saumard, A. and Wellner, J.A. (2014). Log-concavity and strong log-concavity: A review. Stat. Surv. 8 45–114. 10.1214/14-SS107

5. Rudelson, M. and Vershynin, R. (2015). Small ball probabilities for linear images of high-dimensional distributions. Int. Math. Res. Not. IMRN 19 9594–9617. 10.1093/imrn/rnu243

Cited by 2 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. On a Conjecture of Feige for Discrete Log-Concave Distributions;SIAM Journal on Discrete Mathematics;2024-01-05

2. Entropy-variance inequalities for discrete log-concave random variables via degree of freedom;Discrete Mathematics;2024-01

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