A boundary corrected expansion of the moments of nearest neighbor distributions

DOI10.1002/rsa.20311zbMath1210.60017OpenAlexW3083161214MaRDI QIDQ3055892

Amaury Lendasse, Elia Liitiäinen, Francesco Corona

Publication date: 10 November 2010

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://aaltodoc.aalto.fi/handle/123456789/882

zbMATH Keywords

momentsedgeBoundarynearest neighbor, random geometry

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (2)

Limit theory for point processes in manifolds ⋮ The Hellinger Correlation

Cites Work

• Unnamed Item
• Scaling universalities of \(k\)th-nearest neighbor distances on closed manifolds
• Limit theorems and rates of convergence for Euclidean functionals
• Weak laws of large numbers in geometric probability
• Gaussian limits for random geometric measures
• Explicit laws of large numbers for random nearest-neighbour-type graphs
• Asymptotic moments of near–neighbour distance distributions
• A proof of the Gamma test
• On the total length of the random minimal directed spanning tree
• The random volume of interpenetrating spheres in space
• Prescribing a System of Random Variables by Conditional Distributions

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