Limit theorems for the minimum interpoint distance between any pair of i.i.d. random points in R d期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Limit theorems for the minimum interpoint distance between any pair of i.i.d. random points in R d

Authors:	S. Kanagawa Y. Mochizuki H. Tanaka

Affiliation:	(1) Department of Mathematics, Yamanashi University, Takeda, 400 Kofu, Japan;(2) Matsushita Electric Industrial CO. LTD., 1006 Oaza-Kadoma, 571 Kadoma, Osaka, Japan;(3) Department of Mathematics, Faculty of Science and Technology, Keio University, Kohoku-ku, 223 Yokohama, Kanagawa, Japan

Abstract:	The limit theorem for the minimum interpoint distance between any pair of i.i.d. random points in R^d with common density fL² was studied by a method which makes use of the convergence of point processes. Some one-dimensional examples with fL² (including the cases Beta and Gamma distributions) were also considered.

Keywords:	Minimum interpoint distance Poisson point process compensator Skorohod J₁-topology
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