Using sums-of-squares to prove Gaussian product inequalities
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DOI: 10.1515/demo-2024-0003
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References listed on IDEAS
- Kan, Raymond, 2008. "From moments of sum to moments of product," Journal of Multivariate Analysis, Elsevier, vol. 99(3), pages 542-554, March.
- Wenbo V. Li & Ang Wei, 2012. "A Gaussian Inequality for Expected Absolute Products," Journal of Theoretical Probability, Springer, vol. 25(1), pages 92-99, March.
- Liu, Zhenxia & Wang, Zhi & Yang, Xiangfeng, 2017. "A Gaussian expectation product inequality," Statistics & Probability Letters, Elsevier, vol. 124(C), pages 1-4.
- Russell, Oliver & Sun, Wei, 2022. "An opposite Gaussian product inequality," Statistics & Probability Letters, Elsevier, vol. 191(C).
- Edelmann, Dominic & Richards, Donald & Royen, Thomas, 2023. "Product inequalities for multivariate Gaussian, gamma, and positively upper orthant dependent distributions," Statistics & Probability Letters, Elsevier, vol. 197(C).
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Keywords
moments of Gaussian random vector; Gaussian product inequality conjecture; sums-of-squares; semi-definite programming;All these keywords.
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