M. Reitzner

activity

20052025

U

-statistics of Poisson point processes

131 citations · 244 across the 25 of their papers we have counts for

collaborators

Showing 2011 · math.PRShow all

2 papers · 2 filters

math.PR2011

Set Reconstruction by Voronoi cells

Matthias Reitzner, Evgeny Spodarev, Dmitry Zaporozhets

For a Borel set $A$ and a homogeneous Poisson point process $η$ in $R^{d}$ of intensity $λ > 0$ , define the Poisson--Voronoi approximation $A_{η}$ of $A$ as a union of all Voronoi cell…

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…

Set Reconstruction by Voronoi cells

Central limit theorems for U-statistics of Poisson point processes

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