Some limit theorems for the homogeneous Poisson process

We give strong results for the maximal number of points of a d-dimensional Poisson process in cubes of volume VT contained in [0, T]d for the case where VT is below the Erdös-Réyni range, i.e. VT = o(log T).

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Year of publication:	1991
Authors:	Auer, P. ; Hornik, K. ; Révész, P.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 12.1991, 2, p. 91-96
Publisher:	Elsevier
Keywords:	d-dimensional Poisson process densest cubes strong laws

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

Persistent link: https://www.econbiz.de/10005137988