Alexander Marynych

Lah distribution: properties and applications

Motivated by a problem arising in the analysis of convex hulls of high-dimensional random walks, we introduce a new class of discrete probability distributions, which we call Lah distributions, and which involve Stirling numbers of both kinds. We provide a combinatorial interpretation of the Lah distributions in terms of random compositions and records and prove various limit theorems for them. This talk is based on a recent joint work with Zakhar Kabluchko (Münster, Germany).