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 2011Show all

2 papers · 1 filter

math.PR2011★ 4 cited

A Central Limit Theorem for the Poisson-Voronoi Approximation

Matthias Schulte

For a compact convex set $K$ and a Poisson point process $η$ , the union of all Voronoi cells with a nucleus in $K$ is the Poisson-Voronoi approximation of $K$ . Lower and upper boun…

math.PR2011★ 131 cited

Central limit theorems for $U$ -statistics of Poisson point processes

Matthias Reitzner, Matthias Schulte

A $U$ -statistic of a Poisson point process is defined as the sum $\sum f (x_{1}, \dots, x_{k})$ over all (possibly infinitely many) $k$ -tuples of distinct points of the point process. Us…

A Central Limit Theorem for the Poisson-Voronoi Approximation

Central limit theorems for U-statistics of Poisson point processes

Central limit theorems for $U$ -statistics of Poisson point processes