Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks

Zakhar Kabluchko, Alexander Marynych

Let ${\xi }_1,{\xi }_2,\dots$ be a sequence of independent copies of a random vector in ${\mathbb{R}}^d$ having an absolutely continuous distribution. Consider a random walk $S_i:=ξ_1+\cdots+ξ…