Matthias Schulte

activity

20102026

U

-statistics of Poisson point processes

131 citations · 233 across the 25 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.ST2018

Testing multivariate uniformity based on random geometric graphs

Bruno Ebner, Franz Nestmann, Matthias Schulte

We present new families of goodness-of-fit tests of uniformity on a full-dimensional set $W \subset R^{d}$ based on statistics related to edge lengths of random geometric graphs. Asym…

math.PR2018★ 6 cited

The random connection model and functions of edge-marked Poisson processes: second order properties and normal approximation

Günter Last, Franz Nestmann, Matthias Schulte

The random connection model is a random graph whose vertices are given by the points of a Poisson process and whose edges are obtained by randomly connecting pairs of Poisson point…

math.PR2018★ 3 cited

Multivariate second order Poincaré inequalities for Poisson functionals

Matthias Schulte, J. E. Yukich

Given a vector $F = (F_{1}, \dots, F_{m})$ of Poisson functionals $F_{1}, \dots, F_{m}$ , we investigate the proximity between $F$ and an $m$ -dimensional centered Gaussian random vector $N_{Σ}$ wit…