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arXiv · 2407.15684

A refinement of the \v{S}id\'ak-Khatri inequality and a strong Gaussian correlation conjecture

Rotem Assouline·Arnon Chor·Shay Sadovsky
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Abstract

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 \v{S}id\'ak-Khatri inequality.

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Rotem Assouline, Arnon Chor, Shay Sadovsky. 2024-07-22. A refinement of the \v{S}id\'ak-Khatri inequality and a strong Gaussian correlation conjecture. https://arxiv.org/abs/2407.15684

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