2 citations · 7 across the 6 of their papers we have counts for
7 papers
Large deviations for hyperbolic -nearest neighbor balls
Christian Hirsch, Moritz Otto, Takashi Owada +1
We prove a large deviation principle for the point process of large Poisson -nearest neighbor balls in hyperbolic space. More precisely, we consider a stationary Poisson point p…
Large nearest neighbour balls in hyperbolic stochastic geometry
Moritz Otto, Christoph Thaele
Consider a stationary Poisson process in a -dimensional hyperbolic space. For define the point process of exceedance heights over a suitable threshold of the h…
Extremal behavior of large cells in the Poisson hyperplane mosaic
Moritz Otto
We study the asymptotic behavior of a size-marked point process of centers of large cells in a stationary and isotropic Poisson hyperplane mosaic in dimension . The sizes…
Limit laws for large kth-nearest neighbor balls
Nicolas Chenavier, Norbert Henze, Moritz Otto
Let be a sequence of independent random points in with common Lebesgue density . Under some conditions on , we obtain a Poisson limit theorem,…
Disagreement coupling of Gibbs processes with an application to Poisson approximation
Günter Last, Moritz Otto
We discuss a thinning and an embedding procedure to construct finite Gibbs processes with a given Papangelou intensity. Extending the approach in Hofer-Temmel (2019) and Hofer-Temm…
Poisson approximation of Poisson-driven point processes and extreme values in stochastic geometry
Moritz Otto
We study point processes that consist of certain centers of point tuples of an underlying Poisson process. Such processes arise in stochastic geometry in the study of exceedances o…
Tail dependence of recursive max-linear models with regularly varying noise variables
Nadine Gissibl, Claudia Klüppelberg, Moritz Otto
Recursive max-linear structural equation models with regularly varying noise variables are considered. Their causal structure is represented by a directed acyclic graph (DAG). The…