Asymptotic moments of near–neighbour distance distributions

By Dafydd Evans, Antonia J. Jones, W. Schmidt. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2002

92 citations recorded by the source corpus.

Subfields: Applied Mathematics, Artificial Intelligence, Signal Processing

View Paper: https://www.semanticscholar.org/paper/7bb8ba25d11399c2e8fbb7ec45c57bb70ccab0d3

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In Applied Mathematics

1. Luc Pronzato
2. Nikolai N. Leonenko

In Artificial Intelligence

1. Luc Pronzato
2. Barnab'as P'oczos
3. Jeff Schneider
4. Fernando Perez-Cruz
5. Liang Xiong
6. Kirthevasan Kandasamy
7. Akshay Krishnamurthy
8. Larry A. Wasserman

Citations in the corpus

• A class of Rényi information estimators for multidimensional densities (2008, background): “The asymptotic behavior of the moments of k-th nearest-neighbor distances is considered in (Evans et al., 2002) under the conditions that f is continuous, f > 0 on a compact convex subset C of R, with f having bounded partial derivatives on C. Only the case q < 1 is considered, and convergence in pr”
• Laws of large numbers in stochastic geometry with statistical applications (2007, unknown): “10) for An,k, we have (see [6, 18, 22]) that nE[|Xj(i,n,k) −X1| 2 ] = nE n”