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A Limit Theorem for the Minimum and Minimum Point of a “Distorted” Function

✍ Scribed by Byambazhav, D.; Mogul’skii, A. A.


Book ID
118226884
Publisher
Society for Industrial and Applied Mathematics
Year
1993
Tongue
English
Weight
624 KB
Volume
37
Category
Article
ISSN
0040-585X

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Limit theorems for the minimum interpoin
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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 distribution