Some new Gaussian product inequalities
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Publication:2157700
DOI10.1016/j.jmaa.2022.126439zbMath1493.60043arXiv2201.04242OpenAlexW4226218480MaRDI QIDQ2157700
Publication date: 22 July 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.04242
hypergeometric functioncombinatorial inequalityGaussian product inequalitymoments of Gaussian random vector
Inequalities; stochastic orderings (60E15) Measures of association (correlation, canonical correlation, etc.) (62H20) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (7)
A combinatorial proof of the Gaussian product inequality beyond the \(\mathrm{MTP}_2\) case ⋮ A short proof of a strong form of the three dimensional Gaussian product inequality ⋮ Quantitative versions of the two-dimensional Gaussian product inequalities ⋮ Moment ratio inequality of bivariate Gaussian distribution and three-dimensional Gaussian product inequality ⋮ Product inequalities for multivariate Gaussian, gamma, and positively upper orthant dependent distributions ⋮ Miscellaneous results related to the Gaussian product inequality conjecture for the joint distribution of traces of Wishart matrices ⋮ An opposite Gaussian product inequality
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- A combinatorial proof of the Gaussian product inequality beyond the \(\mathrm{MTP}_2\) case
- The three-dimensional Gaussian product inequality
- Explicit formulae for product moments of multivariate Gaussian random variables
- A Gaussian inequality for expected absolute products
- Lower Bounds for Norms of Products of Polynomials
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