1 results
The surface pair correlation function for stationary Boolean models
- Part of
-
- Journal:
- Advances in Applied Probability / Volume 39 / Issue 1 / March 2007
- Published online by Cambridge University Press:
- 01 July 2016, pp. 1-15
- Print publication:
- March 2007
-
- Article
-
- You have access
- Export citation
-
The random surface measure
of a stationary Boolean model 
with grains from the convex ring is considered. A sufficient condition and a necessary condition for the existence of the density of the second-order moment measure of 
are given and a representation of this density is derived. As applications, the surface pair correlation functions of a Boolean model with spheres and a Boolean model with randomly oriented right circular cylinders in ℝ3 are determined.
of a stationary Boolean model 
with grains from the convex ring is considered. A sufficient condition and a necessary condition for the existence of the density of the second-order moment measure of 
are given and a representation of this density is derived. As applications, the surface pair correlation functions of a Boolean model with spheres and a Boolean model with randomly oriented right circular cylinders in ℝ