A Sharp Gaussian Tail Bound for Sums of Uniforms
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866908865649442816 |
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| author | He, Xinjie Tkocz, Tomasz Wyczesany, Katarzyna |
| author_facet | He, Xinjie Tkocz, Tomasz Wyczesany, Katarzyna |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_06235 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Sharp Gaussian Tail Bound for Sums of Uniforms He, Xinjie Tkocz, Tomasz Wyczesany, Katarzyna Probability 60G50 (60E15) 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. |
| title | A Sharp Gaussian Tail Bound for Sums of Uniforms |
| topic | Probability 60G50 (60E15) |
| url | https://arxiv.org/abs/2305.06235 |