Quelques théorèmes centraux limites pour les processus poissoniens de droites dans le plan

DOI10.1239/aap/1035228121zbMath0914.60013OpenAlexW2075891607MaRDI QIDQ4221246

Katy Paroux

Publication date: 11 March 1999

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

Full work available at URL: https://doi.org/10.1239/aap/1035228121

zbMATH Keywords

central limit theoremsempirical distributionPoisson line processperimeter of the polygons

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Random measures (60G57)

Related Items (10)

Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes ⋮ Asymptotic Methods for Random Tessellations ⋮ Boundedness of Crofton's cell for the homogeneous Poisson process of geodesics in the hyperbolic plane ⋮ Central limit theorems for \(U\)-statistics of Poisson point processes ⋮ Refined convergence for the Boolean model ⋮ Empirical polygon simulation and central limit theorems for the homogeneous Poisson line process ⋮ Limit theorems for stationary tessellations with random inner cell structures ⋮ Central limit theorems for Poisson hyperplane tessellations ⋮ Empirical (Typical) Cells of the Poisson Medial Tessellation ⋮ On a conjecture of D. G. Kendall concerning the planar Crofton cell and on its Brownian counterpart

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