Abstract
Generalized local mean normal measures μz,z∈Rd, are introduced for a nonstationary processXof convex particles. For processes with strictly convex particles it is then shown thatXis weakly stationary and weakly isotropic if and only if μzis rotation invariant for allz∈Rd. The paper is concluded by extending this result to processes of cylinders, generalizing Theorem 1 of Schneider (2003).
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Description of the symmetric convex random closed sets as zonotopes from their Feret diameters;Modern Stochastics: Theory and Applications;2017-01-03
2. References;3D Images of Materials Structures;2010-06-29
3. Stochastic and Integral Geometry;Probability and Its Applications;2008