A large-dimensional independent and identically distributed property for nearest neighbor counts in Poisson processes
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Publication:1814751
DOI10.1214/aoap/1034968144zbMath0870.60045OpenAlexW2056022166MaRDI QIDQ1814751
Publication date: 1 September 1997
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoap/1034968144
Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
Related Items (4)
On the number of weakly connected subdigraphs in random \(k\)NN digraphs ⋮ 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
Cites Work
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- On the probability that a random point is the jth nearest neighbour to its own kth nearest neighbour
- Mutual and shared neighbor probabilities: finite- and infinite-dimensional results
- On the fraction of random points by specified nearest-neighbour interrelations and degree of attraction
- Reflexive Nearest Neighbours
- Isolated nearest neighbors
- Nearest neighbours in a Poisson ensemble
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