131 citations · 233 across the 25 of their papers we have counts for
4 papers · 1 filter
Distances between Poisson k-flats
Matthias Schulte, Christoph Thaele
The distances between flats of a Poisson -flat process in the -dimensional Euclidean space with are discussed. Continuing an approach originally due to Rolf Schneider…
Normal approximation of Poisson functionals in Kolmogorov distance
Matthias Schulte
Peccati, Sole, Taqqu, and Utzet recently combined Stein's method and Malliavin calculus to obtain a bound for the Wasserstein distance of a Poisson functional and a Gaussian random…
Moments and central limit theorems for some multivariate Poisson functionals
Guenter Last, Mathew D. Penrose, Matthias Schulte +1
This paper deals with Poisson processes on an arbitrary measurable space. Using a direct approach, we derive formulae for moments and cumulants of a vector of multiple Wiener-Itô i…
The scaling limit of Poisson-driven order statistics with applications in geometric probability
Matthias Schulte, Christoph Thaele
Let be a Poisson point process of intensity on some state space $\Y$ and be a non-negative symmetric function on $\Y^k$ for some . Applying to all…