Random sets

Garant předmětu:

Kateřina Helisová

Lecturer:

Kateřina Helisová

Tutor:

Kateřina Helisová

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

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Wed	roomJP:B1-5?? Helisová K. 09:15–10:45 (lecture parallel1) Jugoslávských partyzánů 3 K13101 pracovna vyuč.roomJP:B1-5?? Helisová K. 11:00–12:30 (lecture parallel1 parallel nr.101) Jugoslávských partyzánů 3 K13101 pracovna vyuč.
Thu
Fri

The course is a part of the following study plans: