The limit distribution of the largest nearest-neighbour link in the unit d-cube
- 1 March 1989
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 26 (01) , 67-80
- https://doi.org/10.1017/s0021900200041802
Abstract
Let· p denote the p-norm on . For n points drawn independently and uniformly from the unit d-cube, we obtain the limit distribution of the largest nearest-neighbour link (with respect to | · | p ) in the cases ; (2) d = 3, p = 1, 2, ∞and (3) 4, p =∞.Keywords
This publication has 3 references indexed in Scilit:
- Boundary domination and the distribution of the largest nearest-neighbor link in higher dimensionsJournal of Applied Probability, 1986
- Ein asymptotischer Satz über den maximalen Minimalabstand von unabhängigen Zufallsvektoren mit Anwendung auf einen Anpassungstest im R p und auf der KugelMetrika, 1983
- The limit distribution for maxima of ‘weighted' rth-nearest-neighbour distancesJournal of Applied Probability, 1982