Regularized distributions and entropic stability of Cramer's characterization of the normal law
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Publication:335667
DOI10.1016/J.SPA.2016.04.010zbMath1387.60020arXiv1504.02961OpenAlexW2293353143MaRDI QIDQ335667
Sergey G. Bobkov, Friedrich Götze, Gennadiy P. Chistyakov
Publication date: 2 November 2016
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.02961
Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)
Related Items (2)
Stability of Cramer’s Characterization of Normal Laws in Information Distances ⋮ Some remarks on the stability of the log-Sobolev inequality for the Gaussian measure
Cites Work
- Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation
- Bounds on the deficit in the logarithmic Sobolev inequality
- Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
- Entropy production by block variable summation and central limit theorems
- A refined Brunn-Minkowski inequality for convex sets
- Stability Problems in Cramér-Type Characterization in case of I.I.D. Summands
- A Remark on Cramer’s Theorem on the Decomposition of the Normal Law
- General Theorems on the Factorization of Infinitely Divisible Laws III. Sufficient Conditions (Countable Bounded Poisson Spectrum. Unbounded Spectrum. “Stability”)
- Information theoretic inequalities
- Remark on Stability of Brunn–Minkowski and Isoperimetric Inequalities for Convex Bodies
- Chapter 15 Entropic instability of Cramer’s characterization of the normal law
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