Nearest neighbors and Voronoi volumes in high-dimensional point processes with various distance functions

DOI10.2307/1427088zbMath0576.60042OpenAlexW4235498203MaRDI QIDQ3696231

Yosef Rinott, Charles M. Newman

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2307/1427088

zbMATH Keywords

convergence in distributionPoisson point processcorrelational distancesvolume of the Voronoi region

Mathematics Subject Classification ID

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

Related Items (6)

On the Volume of the Zero Cell of a Class of Isotropic Poisson Hyperplane Tessellations ⋮ Rate of Poisson approximation for nearest neighbor counts in large-dimensional Poisson point processes ⋮ On variances of partial volumes of the typical cell of a Poisson-Voronoi tessellation and large-dimensional volume degeneracy ⋮ Unnamed Item ⋮ A large-dimensional independent and identically distributed property for nearest neighbor counts in Poisson processes ⋮ A cluster problem as defined by nearest neighbours

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