Modelling of segment process in the plane

• Thesis title in Czech: Modelování procesu segmentů v rovině
• Thesis title in English: Modelling of segment process in the plane
• Key words: hustota bodového procesu, podmíněná intenzita, Metropolis-Hastings algoritmus, maximální pseudověrohodnost, kmenové buňky
• English key words: a point process density, a conditional intensity, Metropolis-Hastings algorithm, maximum pseudolikelihood, stem cells
• Academic year of topic announcement: 2016/2017
• Thesis type: Bachelor's thesis
• Thesis language: angličtina
• Department: Department of Probability and Mathematical Statistics (32-KPMS)
• Supervisor: prof. RNDr. Viktor Beneš, DrSc.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 21.09.2016
• Date of assignment: 21.09.2016
• Confirmed by Study dept. on: 24.11.2016
• Date and time of defence: 22.06.2017 00:00
• Date of electronic submission: 18.05.2017
• Date of submission of printed version: 19.05.2017
• Date of proceeded defence: 22.06.2017
• Opponents: doc. RNDr. Zbyněk Pawlas, Ph.D.

Guidelines

Student nastuduje základy prostorových bodových procesů a procesů úseček, seznámí se s Takacz-Fikselovou metodou. Na simulovaných datech bude odhadovat parametry modelu.

References

A. Baddeley (2007) Spatial point processes and their applications. In: Stochastic geometry. Ed. W. Weil. Lecture Notes in Math., vol. 1892, Springer, Berlin, 1--75.
J.F. Coeurjolly, Y. Guan, M. Khanmohammadi, R. Waagepetersen (2016) Towards optimal Takacs–Fiksel estimation. Spatial Statistics, in print. http://dx.doi.org/10.1016/j.spasta.2016.08.002