On the number of points of a homogeneous poisson process

Peter Auer and Kurt Hornik

Journal of Multivariate Analysis, 1994, vol. 48, issue 1, 115-156

Abstract: 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.

Keywords: homogeneous; d-dimensional; Poisson; process; dense; and; sparse; regions; strong; laws; asymptotically; quasi-deterministic (search for similar items in EconPapers)
Date: 1994
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