A general study of extremes of stationary tessellations with examples

DOI10.1016/j.spa.2014.04.009zbMath1359.60023arXiv1310.5675OpenAlexW2079952702MaRDI QIDQ740189

Nicolas Chenavier

Publication date: 2 September 2014

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5675

zbMATH Keywords

order statisticsextreme valuesdependency graphPoisson approximationPoisson point processrandom tessellationsGauss-Poisson point processVoronoi flower

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (11)

Criteria for Poisson process convergence with applications to inhomogeneous Poisson-Voronoi tessellations ⋮ Extremal lifetimes of persistent cycles ⋮ Cluster size distributions of extreme values for the Poisson-Voronoi tessellation ⋮ Poisson process approximation under stabilization and Palm coupling ⋮ Introduction to Stochastic Geometry ⋮ The largest order statistics for the inradius in an isotropic STIT tessellation ⋮ The β-mixing rate of STIT tessellations ⋮ The maximal degree in a Poisson-Delaunay graph ⋮ Expected sizes of Poisson–Delaunay mosaics and their discrete Morse functions ⋮ Poisson approximation with applications to stochastic geometry ⋮ Poisson polyhedra in high dimensions

Uses Software

• DTFE

Cites Work

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