Convergence to Stable Laws in Relative Entropy
Probability
2011-04-25 v1
Abstract
Convergence to stable laws in relative entropy is established for sums of i.i.d. random variables.
Cite
@article{arxiv.1104.4360,
title = {Convergence to Stable Laws in Relative Entropy},
author = {S. G. Bobkov and G. P. Chistyakov and F. Götze},
journal= {arXiv preprint arXiv:1104.4360},
year = {2011}
}
Related papers
View all related →
Analysis of PDEs · Mathematics
The Relative Entropy Method for Inhomogeneous Systems of Balance Laws
Cleopatra Christoforou
2022-06-02
Statistics Theory · Mathematics
Rates of convergence for Renyi entropy in extreme value theory
Ali Saeb
2024-06-04
Probability · Mathematics
Convergence to stable laws in the space $D$
François Roueff, Philippe Soulier
2015-03-31
Information Theory · Computer Science
The rates of convergence for generalized entropy of the normalized sums of IID random variables
Hongfei Cui, Jianqiang Sun, Yiming Ding
2011-06-20
Statistical Mechanics · Physics
Stabilities of generalized entropies
Sumiyoshi Abe, G. Kaniadakis, A. M. Scarfone
2009-11-10
Probability · Mathematics
Rate of convergence to alpha stable law using Zolotarev distance : technical report
Solym Mawaki Manou-Abi
2017-12-27
Optimization and Control · Mathematics
Entropy for incremental stability of nonlinear systems under disturbances
Michelle S. Chong
2022-09-13
Quantum Physics · Physics
Approximation of multipartite quantum states and the relative entropy of entanglement
M. E. Shirokov
2024-01-11
Probability · Mathematics
Central Limit Theorem with Exchangeable Summands and Mixtures of Stable Laws as Limits
Sandra Fortini, Lucia Ladelli, Eugenio Regazzini
2012-04-20
High Energy Physics - Theory · Physics
Relative Entropies in Conformal Field Theory
Nima Lashkari
2014-12-12
Statistics Theory · Mathematics
On convergence of entropy of distribution functions in the max domain of attraction of max stable laws
Sreenivasan Ravi, Ali Saeb
2016-11-25
Analysis of PDEs · Mathematics
Stability of stationary solutions of singular systems of balance laws
Nicolas Seguin
2017-09-15
Probability · Mathematics
Entropy inequalities for stable densities and strengthened central limit theorems
Giuseppe Toscani
2016-10-12
Quantum Physics · Physics
Continuity of the relative entropy of resource
Ludovico Lami, Maksim E. Shirokov
2025-02-18
Analysis of PDEs · Mathematics
Relative entropy in hyperbolic relaxation for balance laws
Alexey Miroshnikov, Konstantina Trivisa
2014-08-06
Quantum Physics · Physics
Continuity of Relative Entropy of Entanglement
Matthew J. Donald, Michal Horodecki
2007-05-23
Analysis of PDEs · Mathematics
Relative entropy and contraction for extremal shocks of Conservation Laws up to a shift
Alexis Vasseur
2013-09-17
Quantum Physics · Physics
Quantum relative entropy: general convergence criterion and preservation of convergence under completely positive linear maps
M. E. Shirokov
2023-07-14
Numerical Analysis · Mathematics
Convergence of second-order, entropy stable methods for multi-dimensional conservation laws
Neelabja Chatterjee, Ulrik Skre Fjordholm
2019-06-13
Quantum Physics · Physics
Relative entropic uncertainty relation
Stefan Floerchinger, Tobias Haas, Ben Hoeber
2021-06-07
Artificial Intelligence · Computer Science
Relative Entropy, Probabilistic Inference and AI
John E. Shore
2013-04-15
Numerical Analysis · Mathematics
Consistency and Convergence of Finite Volume Approximations to Nonlinear Hyperbolic Balance Laws
Matania Ben-Artzi, Jiequan Li
2020-03-17
Quantum Physics · Physics
All Inequalities for the Relative Entropy
Ben Ibinson, Noah Linden, Andreas Winter
2017-08-02
Information Theory · Computer Science
Entropy and relative entropy from information-theoretic principles
Gilad Gour, Marco Tomamichel
2021-09-22
Quantum Physics · Physics
Relative Entropy of Entanglement and Restricted Measurements
M. Piani
2010-01-29