(Received May 1, 1989; revised November 5, 1990)
Abstract. The limit theorem for the minimum interpoint distance between any pair of i.i.d. random points in Rd with common density f \in L2 was studied by a method which makes use of the convergence of point processes. Some one-dimensional examples with f \notin L2 (including the cases Beta and Gamma distributions) were also considered.
Key words and phrases: Minimum interpoint distance, Poisson point process, compensator, Skorohod J1-topology.
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