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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Point processes

The course is not on the list Without time-table
Code Completion Credits Range
XP01BOP ZK 4 2+2
Lecturer:
Tutor:
Supervisor:
Department of Mathematics
Synopsis:

Students get the basic overview on the theory of point processes, their probabilistic models, statistical analyses and applications.

Requirements:
Syllabus of lectures:

1. Introduction to point processes

2. Poisson point processes

3. Summary statistics

4. Cox processes

5. Cluster point processes

6. Hard-core point processes

7. Point processes given by a density

8. Markov point processes

9. Gibbs processes

10. MCMC simulations

11. Simulation-based inference

12. Maximum likelihood for point processes

13. Pseudo likelihood

14. Takacs-Fiksel method

Syllabus of tutorials:
Study Objective:
Study materials:

1. Moeller J., Waagepetersen R.P. (2004): Statistical inference and simulations for spatial point processes. Chapman and Hall/CRC, Boca Raton.

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/01XP01BOP.html
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2020-01-20
For updated information see http://bilakniha.cvut.cz/en/predmet3063306.html