3 problems

Let $C\subseteq\mathbb{R}^{n+d}$ be a convex body and set … For a measurable set $A\subseteq\mathbb{Z}^n\times\mathbb{R}^d$, let … be its mixed-integer volume. Oertel's conjecture.…

The halfspace depth function $HD(t_n x,\mathbb{P}_n)$ can be normalized by a speed of convergence $N(t_n)$ to study its convergence toward $1$, but observing this numerically requi…

Depth characterization conjecture. For any two distinct probability distributions $P$ and $Q$ on $\mathbb R^d$, there exists a point $x\in\mathbb R^d$ at which the depths $D(x;P)$…