Article contents
Inequalities for mixed stationary Poisson hyperplane tessellations
Published online by Cambridge University Press: 01 July 2016
Abstract
Mixings of stationary Poisson hyperplane tessellations in d-dimensional Euclidean space are considered. The intention of the paper is to show that the 0-cell of a mixed stationary Poisson hyperplane tessellation Y is in some sense larger than that of stationary Poisson hyperplane tessellations Y' with the same intensity and directional distribution as Y. Related results concerning the moments for the volume of the 0-cell are derived. In special cases, similar statements with respect to the typical cell are proved.
Keywords
MSC classification
- Type
- Stochastic Geometry and Statistical Applications
- Information
- Copyright
- Copyright © Applied Probability Trust 1998
References
- 2
- Cited by