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Almost sure central limit theorems in stochastic geometry.
- Source :
- Advances in Applied Probability; Sep2020, Vol. 52 Issue 3, p705-734, 30p
- Publication Year :
- 2020
-
Abstract
- We prove an almost sure central limit theorem on the Poisson space, which is perfectly tailored for stabilizing functionals arising in stochastic geometry. As a consequence, we provide almost sure central limit theorems for (i) the total edge length of the k-nearest neighbors random graph, (ii) the clique count in random geometric graphs, and (iii) the volume of the set approximation via the Poisson–Voronoi tessellation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00018678
- Volume :
- 52
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Advances in Applied Probability
- Publication Type :
- Academic Journal
- Accession number :
- 146052588
- Full Text :
- https://doi.org/10.1017/apr.2020.15