Gamma distributions for stationary Poisson flat processes

DOI10.1239/aap/1261669578zbMath1193.60067OpenAlexW2167796952MaRDI QIDQ3558931

Volker Baumstark, Günter Last

Publication date: 11 May 2010

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1261669578

zbMATH Keywords

stochastic geometryPalm distributionPoisson processgamma distributionVoronoi tessellationstopping setPoisson hyperplane tessellation\(k\)-flattypical face

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (22)

Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors ⋮ On strongly rigid hyperfluctuating random measures ⋮ Limit theorems for iteration stable tessellations ⋮ Unnamed Item ⋮ Cells with many facets in a Poisson hyperplane tessellation ⋮ Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees ⋮ Poisson process approximation under stabilization and Palm coupling ⋮ Introduction to Stochastic Geometry ⋮ Small cells in a Poisson hyperplane tessellation ⋮ Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally ⋮ Geometry of iteration stable tessellations: connection with Poisson hyperplanes ⋮ Statistical inference for disordered sphere packings ⋮ Distances between Poisson \(k\)-flats ⋮ Weighted Poisson cells as models for random convex~polytopes ⋮ Percolation and limit theory for the poisson lilypond model ⋮ LISA: Locally Interacting Sequential Adsorption ⋮ The scaling limit of Poisson-driven order statistics with applications in geometric probability ⋮ Laplace transform identities for the volume of stopping sets based on Poisson point processes ⋮ Intersection and proximity of processes of flats ⋮ Weighted faces of Poisson hyperplane tessellations ⋮ Expected sizes of Poisson–Delaunay mosaics and their discrete Morse functions ⋮ Poisson polyhedra in high dimensions

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