The limit distribution of the largest nearest-neighbour link in the unit d-cube

The limit distribution of the largest nearest-neighbour link in the unit d-cube

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Article ID: iaor1990336
Country: Israel
Volume: 26
Issue: 1
Start Page Number: 67
End Page Number: 80
Publication Date: Mar 1989
Journal: Journal of Applied Probability
Authors: ,
Abstract:

Let ℝëℝp denote the p-norm on ℝd, d≥2, 1•p••. For n points drawn independently and uniformly from the unit d-cube, the authors obtain the limit distribution of the largest nearest-neighbour link (with respect of ℝëℝp) in the cases (1) d=2, 1•p••; (2) d=3, p=1, 2, • and (3) d≥4, p=•.

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