Limit laws for large th-nearest neighbor balls

DOI10.1017/jpr.2021.92zbMath1497.60023arXiv2105.00038OpenAlexW4283831484MaRDI QIDQ5868536

Norbert Henze, Nicolas Chenavier, Moritz Otto

Publication date: 21 September 2022

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

Full work available at URL: https://arxiv.org/abs/2105.00038

zbMATH Keywords

Gumbel distributionChen-Stein methodPoisson convergencebinomial point processlarge \(k\)th nearest neighbor balls

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Large deviations for the volume of \(k\)-nearest neighbor balls ⋮ Large nearest neighbour balls in hyperbolic stochastic geometry ⋮ Asymptotic distributions of covering and separation measures on the hypersphere

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