A short proof of the strong three dimensional Gaussian product inequality
arXiv:2211.07314 · doi:10.1090/proc/16448
Abstract
We prove the strong form of the Gaussian product conjecture in dimension three. Our purely analytical proof simplifies previously known proofs based on combinatorial methods or computer-assisted methods, and allows us to solve the case of any triple of even positive integers which remained open so far.
References in corpus (4)
- Squared chaotic random variables: new moment inequalities with applications
- Miscellaneous results related to the Gaussian product inequality conjecture for the joint distribution of traces of Wishart matrices
- Product Inequalities for Multivariate Gaussian, Gamma, and Positively Upper Orthant Dependent Distributions
- Moment ratio inequality of bivariate Gaussian distribution and three-dimensional Gaussian product inequality