On the almost sure coverage property of Voronoi tessellation: the ℝ1 case

DOI10.1239/aap/1011994027zbMath0993.60011OpenAlexW1976216793MaRDI QIDQ4330061

N. Toronjadze, Estate V. Khmaladze

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1239/aap/1011994027

zbMATH Keywords

strong law of large numbersspacingsimage analysisPoisson point processmartingale limit theoremsmeasure-valued martingalesdata driven pixelsnonparametric re-scaling

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Geometric probability and stochastic geometry (60D05)

Related Items (12)

Introduction to Stochastic Geometry ⋮ Fold-up derivatives of set-valued functions and the change-set problem: a survey ⋮ Boundary density and Voronoi set estimation for irregular sets ⋮ Asymptotics of goodness-of-fit tests based on minimum p-value statistics ⋮ Extreme values for characteristic radii of a Poisson-Voronoi tessellation ⋮ Set Reconstruction by Voronoi Cells ⋮ Laws of large numbers in stochastic geometry with statistical applications ⋮ A central limit theorem for the Poisson-Voronoi approximation ⋮ Surface order scaling in stochastic geometry ⋮ Asymptotic theory for statistics of the Poisson-Voronoi approximation ⋮ Poisson-Voronoi approximation ⋮ Unnamed Item

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