2 citations · 2 across the 5 of their papers we have counts for
5 papers
Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension
Guolie Lan, Frédéric Ouimet, Wei Sun
This paper studies Gaussian product inequalities (GPIs) for centered Gaussian random vectors when positive and negative exponents appear simultaneously. We prove a quantitative low…
The 4-D Gaussian Random Vector Maximum Conjecture and the 3-D Simplex Mean Width Conjecture
Wei Sun, Ze-Chun Hu, Guolie Lan
We prove the four-dimensional Gaussian random vector maximum conjecture. This conjecture asserts that among all centered Gaussian random vectors with $E[X_i^2…
Some explorations on two conjectures about Rademacher sequences
Ze-Chun Hu, Guolie Lan, Wei Sun
In this paper, we explore two conjectures about Rademacher sequences. Let be a Rademacher sequence, i.e., a sequence of independent -valued symmetric random varia…
The Three-Dimensional Gaussian Product Inequality
Guolie Lan, Ze-Chun Hu, Wei Sun
We prove the 3-dimensional Gaussian product inequality, i.e., for any real-valued centered Gaussian random vector and , it holds that ${\mathbf{E}}[X^{2m…
Products of Conditional Expectation Operators: Convergence and Divergence
Guolie Lan, Ze-Chun Hu, Wei Sun
In this paper, we investigate the convergence of products of conditional expectation operators. We show that if is a probability space that is not purely atomic, th…