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Limit distributions of extremal distances to the nearest neighbor. (English. Russian original) Zbl 1395.60031
Discrete Math. Appl. 28, No. 3, 189-199 (2018); translation from Diskretn. Mat. 29, No. 2, 3-17 (2017).
Summary: Theorems on the limit distributions of the minimal and maximal distances to the nearest neighbor in a sample of random independent points having a uniform distribution on a metric space are proved. As examples of such spaces a multidimensional torus and a binary cube are considered.

MSC:
60F05 Central limit and other weak theorems
62E20 Asymptotic distribution theory in statistics
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