Empirical polygon simulation and central limit theorems for the homogeneous Poisson line process

DOI10.1007/s11009-006-9009-zzbMath1144.60009OpenAlexW2086855042MaRDI QIDQ2475268

Julien Michel, Katy Paroux

Publication date: 11 March 2008

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-006-9009-z

zbMATH Keywords

simulationcentral limit theoremPoisson line process

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (1)

Empirical (Typical) Cells of the Poisson Medial Tessellation

Uses Software

• Matlab

Cites Work

• Unnamed Item
• The spectrum of some Poisson mosaic processes in the plane and the convex hull of the Brownian bridge
• Sampling random polygons
• Properties of ergodic random mosaic processes
• Monte carlo estimates of the distributions of the random polygons determined by random lines in a plane
• The Use of the Ergodic Theorems in Random Geometry
• Quelques théorèmes centraux limites pour les processus poissoniens de droites dans le plan
• RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE, II
• RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE

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