Formulas for stationary planar fibre processes I - general theory
- 1 January 1980
- journal article
- research article
- Published by Taylor & Francis in Series Statistics
- Vol. 11 (2) , 267-279
- https://doi.org/10.1080/02331888008801539
Abstract
In the paper fibre processes are considered, i.e. discrete sets of curves distributed at random in the plane. For translation invariant fibre processes the PALM distribution of the angle in a typical fibre point is defined, and point processes are studied which are obtained by intersection with lines. As a special case motion invariant, i.e. translation invariant and isotropic, fibre processes are treated. Finally weighted fibre processes are considered. As example segment processes are investigated.Keywords
This publication has 2 references indexed in Scilit:
- Stochastic geometry from the standpoint of integral geometryAdvances in Applied Probability, 1977
- Station re zuf llige Ma e auf lokalkompakten Abelschen GruppenProbability Theory and Related Fields, 1967