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:

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:

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: