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- W2003108799 abstract "Suppose that X1, X2, X3, … are independent random points in Rd with common density f, having compact support Ω with smooth boundary ∂Ω, with f[mid ]Ω continuous. Let Rni, k denote the distance from Xi to its kth nearest neighbour amongst the first n points, and let Mn, k = maxi[les ]nRni, k. Let θ denote the volume of the unit ball. Then as n → ∞,formula hereIf instead the points lie in a compact smooth d-dimensional Riemannian manifold K, then nθMdn, k/ log n → (minKf)−1, almost surely." @default.
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- W2003108799 date "1999-12-01" @default.
- W2003108799 modified "2023-10-17" @default.
- W2003108799 title "A Strong Law for the Largest Nearest-Neighbour Link between Random Points" @default.
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- W2003108799 doi "https://doi.org/10.1112/s0024610799008157" @default.
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