A variance-sensitive Gaussian concentration inequality-Reference-Cited by-同舟云学术

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A variance-sensitive Gaussian concentration inequality

Published:2024-07-19 Issue: Volume: Page:
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dung Nguyen

Abstract

In this note, we obtain a Gaussian concentration inequality for a class of non-Lipschitz functions. In the one-dimensional case, our results supplement those established by Paouris and Valettas [Ann. Probab. 46 (2018), pp. 1441–1454].

Publisher

American Mathematical Society (AMS)

Link

https://www.ams.org/proc/0000-000-00/S0002-9939-2024-16905-7/S0002-9939-2024-16905-7.pdf

Reference14 articles.

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3. Mathematical Surveys and Monographs;Bogachev, Vladimir I.,1998

4. Asymptotic behaviour of high Gaussian minima;Chakrabarty, Arijit;Stochastic Process. Appl.,2018

5. S. Chatterjee, An error bound in the Sudakov-Fernique inequality, arXiv:math/0510424, 2005.

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