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

✍ Scribed by S. Kanagawa; Y. Mochizuki; H. Tanaka


Book ID
104623449
Publisher
Springer Japan
Year
1992
Tongue
English
Weight
461 KB
Volume
44
Category
Article
ISSN
0020-3157

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✦ Synopsis


The limit theorem for the minimum interpoint distance between any pair of i.i.d, random points in R d with common density f E L 2 was studied by a method which makes use of the convergence of point processes. Some one-dimensional examples with f ~ L ~ (including the cases Beta and Gamma distributions) were also considered.