Random sets
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:

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. Quermassinteraction process
8. MCMC simulations of random sets
9. Simulationbased inference
10. Maximum likelihood for random sets
11. TakacsFiksel method
12. Marked random sets
13. Digital image analysis
14. Applications of random sets
 Syllabus of tutorials:
 Study Objective:
 Study materials:

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 timetable has been prepared for this course
 The course is a part of the following study plans: