| Article ID: | iaor20003231 |
| Country: | United States |
| Volume: | 15 |
| Issue: | 4 |
| Start Page Number: | 599 |
| End Page Number: | 615 |
| Publication Date: | Jan 1999 |
| Journal: | Communications in Statistics - Stochastic Models |
| Authors: | Schlather Martin, Stoyan Dietrich |
| Keywords: | networks |
This paper studies three families of planar segment processes which are subsets of the network of edges of the planar Poisson Voronoi tessellation. They are potential models for time-dependent planar crack processes. For these models, formulae are given for the mean number and mean segment length per unit area and the segment length distribution.