Abstract
Let n particles be independently and uniformly distributed in a rectangle
The purpose of this paper is to consider Poisson process approximations of W and of the above point processes, by means of Stein's method. To this end, the exact probability for k specific particles to be covered by some translate of C is given.
Citation
Marianne Månsson. "Poisson approximation in connection with clustering of random points." Ann. Appl. Probab. 9 (2) 465 - 492, May 1999. https://doi.org/10.1214/aoap/1029962751
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