Expected hyperbolic volumes of random beta polytopes

Zakhar Kabluchko, Philipp Schange

Let $X_1,\dots ,X_n$ be independent random points in the closed unit ball of ${\mathbb{R}}^d$. Assume that each $X_i$ has a beta distribution with parameter ${\hat{I}}_i^2\ge -1$: if $β_i>-…