The three-dimensional Gaussian product inequality
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Publication:2304307
DOI10.1016/j.jmaa.2020.123858zbMath1440.60021arXiv1905.04279OpenAlexW2999082847MaRDI QIDQ2304307
Guo-lie Lan, Ze-Chun Hu, Wei Sun
Publication date: 9 March 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.04279
hypergeometric functionmoments of Gaussian random vectorGaussian product conjecturereal linear polarization constant
Gaussian processes (60G15) Inequalities; stochastic orderings (60E15) Characterization and structure theory for multivariate probability distributions; copulas (62H05)
Related Items (8)
Some new Gaussian product inequalities ⋮ 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
Cites Work
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- Representations of the absolute value function and applications in Gaussian estimates
- Squared chaotic random variables: new moment inequalities with applications
- Pfaffians, Hafnians and products of real linear functionals
- Gaussian variables, polynomials and permanents
- Total positivity properties of absolute value multinormal variables with applications to confidence interval estimates and related probabilistic inequalities
- A Gaussian correlation inequality and its applications to small ball probabilities
- A Gaussian inequality for expected absolute products
- Characterization of equality in the correlation inequality for convex functions, the U-conjecture
- On the unlinking conjecture of independent polynomial functions
- A Gaussian correlation inequality and its applications to the existence of small ball constant.
- Lower Bounds for Norms of Products of Polynomials
- A simple proof of the Gaussian correlation conjecture extended to multivariate gamma distributions
- Royen’s Proof of the Gaussian Correlation Inequality
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