Cluster size distributions of extreme values for the Poisson-Voronoi tessellation
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Publication:1634173
DOI10.1214/17-AAP1345zbMath1404.60024arXiv1607.04075OpenAlexW2491728616MaRDI QIDQ1634173
Christian Y. Robert, Nicolas Chenavier
Publication date: 17 December 2018
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.04075
Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Statistics of extreme values; tail inference (62G32)
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Criteria for Poisson process convergence with applications to inhomogeneous Poisson-Voronoi tessellations, Large nearest neighbour balls in hyperbolic stochastic geometry, The maximal degree in a Poisson-Delaunay graph, Limit laws for large th-nearest neighbor balls
Cites Work
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- Extreme values for characteristic radii of a Poisson-Voronoi tessellation
- Point processes of exceedances by random fields
- A general study of extremes of stationary tessellations with examples
- Random Delaunay simplexes in \({\mathbb{R}}^ m\)
- Inference for the limiting cluster size distribution of extreme values
- Regularly varying multivariate time series
- Extremes and related properties of random sequences and processes
- On the exceedance point process for a stationary sequence
- The various aggregates of random polygons determined by random lines in a plane
- On central limit theorems in geometrical probability
- Extremal behaviour of stationary Markov chains with applications
- Limit theorems for the typical Poisson-Voronoi cell and the Crofton cell with a large inradius
- Voronoi Diagrams and Delaunay Triangulations
- Optimal Delaunay and Voronoi Quantization Schemes for Pricing American Style Options
- Delaunay Mesh Generation
- Some distributional results for Poisson-Voronoi tessellations
- Stochastic and Integral Geometry
- A counterexample concerning the extremal index
- On a Voronoi aggregative process related to a bivariate Poisson process
- Large Poisson-Voronoi cells and Crofton cells
- The distributions of the smallest disks containing the Poisson-Voronoi typical cell and the Crofton cell in the plane
- Random tessellations in ℝd
- Extremes and local dependence in stationary sequences
- Stochastic Geometry and Wireless Networks: Volume I Theory
- Second‐order properties of the point process of nodes in a stationary Voronoi tessellation
- The Poisson-Voronoi tessellation: relationships for edges
