Poisson approximation of Poisson-driven point processes and extreme values in stochastic geometry
From MaRDI portal
Publication:6632595
DOI10.3150/23-BEJ1688MaRDI QIDQ6632595
Publication date: 5 November 2024
Published in: Bernoulli (Search for Journal in Brave)
Palm distributionpoint processesPoisson processestotal variation distancestopping setChen-Stein methodDelaunay mosaicVoronoi mosaicKendall's problemmaximum cell
Cites Work
- Title not available (Why is that?)
- Extreme values for characteristic radii of a Poisson-Voronoi tessellation
- The scaling limit of Poisson-driven order statistics with applications in geometric probability
- Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to \(U\)-statistics and stochastic geometry
- A general study of extremes of stationary tessellations with examples
- Asymptotic shapes of large cells in random tessellations
- Distance estimates for dependent thinnings of point processes with densities
- Two moments suffice for Poisson approximations: The Chen-Stein method
- Proof of David Kendall's conjecture concerning the shape of large random polygons
- Poisson approximation and the Chen-Stein method. With comments and a rejoinder by the authors
- Cluster size distributions of extreme values for the Poisson-Voronoi tessellation
- Cells with many facets in a Poisson hyperplane tessellation
- Small cells in a Poisson hyperplane tessellation
- Distance estimates for Poisson process approximations of dependent thinnings
- The limit shape of the zero cell in a stationary Poisson hyperplane tessellation.
- Large cells in Poisson-Delaunay tessellations
- Poisson approximation with applications to stochastic geometry
- The largest order statistics for the inradius in an isotropic STIT tessellation
- The maximal degree in a Poisson-Delaunay graph
- Gaussian limits for random geometric measures
- Typical cells in Poisson hyperplane tessellations
- Poisson process approximation under stabilization and Palm coupling
- The Extremal Index for a Random Tessellation
- Probability and computing. Randomization and probabilistic techniques in algorithms and data analysis
- Stochastic and Integral Geometry
- On the volume distribution of the typical Poisson–Delaunay cell
- Large Poisson-Voronoi cells and Crofton cells
- The limit distribution of the maximum probability nearest-neighbour ball
- Small faces in stationary Poisson hyperplane tessellations
- Lectures on the Poisson Process
- Extremes for the inradius in the Poisson line tessellation
- Limit laws for large th-nearest neighbor balls
- Poisson Point Process Convergence and Extreme Values in Stochastic Geometry
- Extremal behavior of large cells in the Poisson hyperplane mosaic
- Large nearest neighbour balls in hyperbolic stochastic geometry
- Disagreement coupling of Gibbs processes with an application to Poisson approximation
This page was built for publication: Poisson approximation of Poisson-driven point processes and extreme values in stochastic geometry
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6632595)