Christoph Thale

activity

20172022

most citedA Berry-Esseén theorem for partial sums of functionals of heavy-tailed moving averages

2 citations · 2 across the 8 of their papers we have counts for

collaborators

13 papers

math.PR2022

Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon

Anna Gusakova, Matthias Reitzner, Christoph Thäle

Fix a container polygon $P$ in the plane and consider the convex hull $P_{n}$ of $n \geq 3$ independent and uniformly distributed in $P$ random points. In the focus of this paper is t…

math.PR2022

Large deviations for uniform projections of $p$ -radial distributions on $ℓ_{p}^{n}$ -balls

Tom Kaufmann, Holger Sambale, Christoph Thäle

We consider products of uniform random variables from the Stiefel manifold of orthonormal $k$ -frames in $R^{n}$ , $k \leq n$ , and random vectors from the $n$ -dimensional $\ell…

math.PR2021

Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes

Carina Betken, Matthias Schulte, Christoph Thäle

This paper deals with the union set of a stationary Poisson process of cylinders in $R^{n}$ having an $(n - m)$ -dimensional base and an $m$ -dimensional direction space, where…

math.PR2021

The $β$ -Delaunay tessellation IV: Mixing properties and central limit theorems

Anna Gusakova, Zakhar Kabluchko, Christoph Thäle

Various mixing properties of $β$ -, $β^{'}$ - and Gaussian Delaunay tessellations in $R^{d - 1}$ are studied. It is shown that these tessellation models are absolutely regular, o…

math.PR2021

Optimal Variance--Gamma approximation on the second Wiener chaos

Ehsan Azmoodeh, Peter Eichelsbacher, Christoph Thäle

In this paper, we consider a target random variable $Y \sim \CVG$ distributed according to a centered Variance--Gamma distribution. For a generic random element $F = I_{2} (f)$ in the s…

math.PR2021

The $β$ -Delaunay tessellation II: The Gaussian limit tessellation

Anna Gusakova, Zakhar Kabluchko, Christoph Thäle

We study the weak convergence of $β$ - and $β^{'}$ -Delaunay tessellations in $R^{d - 1}$ that were introduced in part I of this paper, as $β \to \infty$ . The limiting stationary s…

Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon

Large deviations for uniform projections of p-radial distributions on ℓpn​-balls

Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes

The β-Delaunay tessellation IV: Mixing properties and central limit theorems

Optimal Variance--Gamma approximation on the second Wiener chaos

The β-Delaunay tessellation II: The Gaussian limit tessellation

Large deviations for uniform projections of $p$ -radial distributions on $ℓ_{p}^{n}$ -balls

The $β$ -Delaunay tessellation IV: Mixing properties and central limit theorems

The $β$ -Delaunay tessellation II: The Gaussian limit tessellation