2 problems

Let $B_1(n)$ denote the unit ball in $\mathbb{R}^n$, and let $\mathbb{S}^{n-1}$ denote the unit sphere. For a convex body $K ot i mathbb{S}^{n-1}$ contained in $B1(n)$, and each…

Let $g(x;\theta)$ be a parametric family of densities with parameter $\theta$. Assume that $g(x;\theta)$ satisfies the regularity conditions required in the source. Fix a value…