2 problems

Let $X$ be a random vector in $\mathbb{R}^n$ with independent and identically distributed entries, … Assume that $\mathbb{E}x_1=0$, $\mathbb{E}x_1^2=1$, and…

Non-Gaussian minimizer conjecture. For every $p\in(2,\infty)$ and $w\in(-1,1)\setminus\{0\}$, the minimizer in is not $\mu_2$. Similarly, for every $\gamma\in\mathcal{T}_p$ and…