2 problems

Let $\boldsymbol{Z}=(Z_1,\ldots,Z_d)$ be a centered Gaussian random vector with $d\in\mathbb{N}$, and let $m\in\mathbb{N}_0$. Gaussian product inequality. One has … The conjecture…

Let $\boldsymbol{Z}=(Z_1,\ldots,Z_d)$ be the Gaussian vector in the strong Gaussian product inequality, with $d\in\mathbb{N}$, and let…