David Albert Steigenberger

collaborators

2 papers

math.PR2025

Beta Polytopes and Beta Cones: An Exactly Solvable Model in Geometric Probability

Zakhar Kabluchko, David Albert Steigenberger

Let $X_{1}, \dots, X_{n}$ be independent random points in the unit ball of $R^{d}$ such that $X_{i}$ follows a beta distribution with the density proportional to $(1-\|x\|^2)^{β_i}…

math.PR2022

r-Lah Distribution: Properties, Limit Theorems and an Application to Compressed Sensing

Zakhar Kabluchko, David Albert Steigenberger

We introduce and study the r-Lah distribution whose definition involves r-Stirling numbers of both kinds. We compute its expectation and variance, show its log-concavity and prove…