Intersection densities of nonstationary Poisson processes of hypersurfaces

Lars Michael Hoffmann
2007 Advances in Applied Probability  
Intersection densities are introduced for a large class of nonstationary Poisson processes of hypersurfaces and inequalities for them are proved. In doing so, similar results from both Wieacker (1986) and Schneider (2003) are summarized in one theorem and the concept of an associated zonoid of a Poisson process of hypersurfaces is generalized to a nonstationary setting.
doi:10.1017/s0001867800001762 fatcat:yusw4iu7prdljo7ddafnpb5ami