Further random tessellations with the classic Poisson polygon distributions
- 1 March 1996
- journal article
- stochastic geometry-and-statistical-applications
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 28 (02) , 338-339
- https://doi.org/10.1017/s0001867800048370
Abstract
It is well-known that Poisson lines in the plane, with orientation distribution Θ on [0, π), generate a (random) tessellation M 0 of (random) convex polygons whose characteristics (area, perimeter, etc.) conform, in an ergodic sense, to a certain class {D Θ} of distributions.Keywords
This publication has 1 reference indexed in Scilit:
- Point-based polygonal models for random graphsAdvances in Applied Probability, 1993