Random sets
The course is not on the list Without time-table
| Code | Completion | Credits | Range |
|---|---|---|---|
| XP01NAM | ZK | 4 | 2+2 |
- Course guarantor:
- Lecturer:
- Tutor:
- Supervisor:
- Department of Mathematics
- Synopsis:
-
Students get the basic overview on the theory of random sets, their probabilistic models, statistical analyses and applications.
- Requirements:
- Syllabus of lectures:
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1. Introduction to random sets
2. Steiner formula
3. Boolean model
4. Contact distribution function, spatial correlation function
5. Shape characteristics
6. Random sets given by a density
7. Quermass-interaction process
8. MCMC simulations of random sets
9. Simulation-based inference
10. Maximum likelihood for random sets
11. Takacs-Fiksel method
12. Marked random sets
13. Digital image analysis
14. Applications of random sets
- Syllabus of tutorials:
- Study Objective:
- Study materials:
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1. Molchanov I. (2005): Theory of Random Sets. Springer Verlag, London.
2. Stoyan D., Kendall W.S., Mecke J. (1995): Stochastic Geometry and Its Applications. Wiley, Chichester.
- Note:
- Further information:
- http://math.feld.cvut.cz/helisova/01XP01NAM.html
- No time-table has been prepared for this course
- The course is a part of the following study plans: