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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.15684 |
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| _version_ | 1866910537892233216 |
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| author | Assouline, Rotem Chor, Arnon Sadovsky, Shay |
| author_facet | Assouline, Rotem Chor, Arnon Sadovsky, Shay |
| contents | We prove two special cases of a strengthened Gaussian correlation conjecture, due to Tehranchi, and show that if the conjecture holds asymptotically, it holds for any dimension. Additionally, we use these special cases to prove a refined version of the Šidák-Khatri inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15684 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A refinement of the Šidák-Khatri inequality and a strong Gaussian correlation conjecture Assouline, Rotem Chor, Arnon Sadovsky, Shay Functional Analysis Probability We prove two special cases of a strengthened Gaussian correlation conjecture, due to Tehranchi, and show that if the conjecture holds asymptotically, it holds for any dimension. Additionally, we use these special cases to prove a refined version of the Šidák-Khatri inequality. |
| title | A refinement of the Šidák-Khatri inequality and a strong Gaussian correlation conjecture |
| topic | Functional Analysis Probability |
| url | https://arxiv.org/abs/2407.15684 |