Central limit theorems for k-nearest neighbour distances

Mathew D. Penrose

Stochastic Processes and their Applications, 2000, vol. 85, issue 2, 295-320

Abstract: Let X1,X2,X3,... be independent d-dimensional variables with common density function f. Let Ri,k,n be the distance from Xi to its kth nearest neighbour in {X1,...,Xn}. Suppose (kn) is a sequence with 1

Keywords: Nearest; neighbours; Empirical; process; Goodness-of-fit; test; Gaussian; process; Geometric; probability; Dependency; graph (search for similar items in EconPapers)
Date: 2000
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