On the number of points of a homogeneous poisson process

We investigate the dense and sparse regions of a d-dimensional Poisson process and establish strong laws for both the maximal and the minimal number of points in families of sets of a certain volume.

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Year of publication:	1994
Authors:	Auer, Peter ; Hornik, Kurt
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 48.1994, 1, p. 115-156
Publisher:	Elsevier
Keywords:	homogeneous d-dimensional Poisson process dense and sparse regions strong laws asymptotically quasi-deterministic

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005106948