He, X., Wyczesany, K. orcid.org/0000-0002-1530-7916 and Tkocz, T. (2025) A sharp Gaussian tail bound for sums of uniforms. Israel Journal of Mathematics. ISSN 0021-2172
Abstract
We prove that the tail probabilities of sums of independent uniform random variables, up to a multiplicative constant, are dominated by the Gaussian tail with matching variance and find the sharp constant for such stochastic domination.
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Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s11856-025-2768-4. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 09 Jul 2025 09:55 |
Last Modified: | 09 Jul 2025 09:55 |
Status: | Published online |
Publisher: | Springer Nature |
Identification Number: | 10.1007/s11856-025-2768-4 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:228911 |
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