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Summary statistics of spatial point processes
Mirtes, Lukáš ; Lechnerová, Radka (advisor) ; Pawlas, Zbyněk (referee)
The paper presents introduction to spatial point processes and their characteristics. The reader is familiar with Poisson point process, which plays fundamental role in the theory of point processes. Basic properties and summary statistics are introruced with nonparametric estimations. The work is concluded by example of the point process including estimations of some charakteristics.
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Summary statistics of spatial point processes
Mirtes, Lukáš ; Lechnerová, Radka (advisor) ; Pawlas, Zbyněk (referee)
The paper presents introduction to spatial point processes and their characteristics. The reader is familiar with Poisson point process, which plays fundamental role in the theory of point processes. Basic properties and summary statistics are introruced with nonparametric estimations. The work is concluded by example of the point process including estimations of some charakteristics.
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Cox point process
Kocúrová, Barbora ; Lechnerová, Radka (referee) ; Beneš, Viktor (advisor)
Na/ev praee: Coxfiv bodovy Autor: Barbara Kocnrova Katedra (ust.av): KalodrM pravdepodolmosli a uiatematicke statisiiky Vedonci bakalafske praee: Prof. KNDr. Viktor Beries, DrSe. e-mail vedonciho: Vikl nr.Benesviinlf.cuiti.e/ Abstrakt: V paidiozcur pr;ici st.ndujoinr bodovo prfjcesy. XabyvAine sr siniulac:i a, fil- trovannii Coxova bodovrlio proccsu ri/onclio Gauniia Onistehi-UhlonbeekovytTi jiro- tics^in. K odhadu uahodiir int.cn/ity C'oxova. pi'occsn jsnio zvolili bayesovsky jn'isiup s vynxitiui melody Mai'kov C'liain KJoiit.c C'urlo a Metrupolis-Hastiiigsova algoritinu rox(Mii a /.anikii pro bodovc Tit.k1: Cox point process Author: Harbora Kocnrova Dcparlinont: Dcpartinctit of Probability and Mnthrmatioa.j Statistics Supervisor: Prof. RiNDr. Viktor Hours, DrSc. Supervisor's e-uiail address Viktor.Benesf'inff.eniLi.c^ Abstract: hi the present work the spatial point processes, particularly Cox point pro- cess driven by Ganiina-Ornstoiu Uhlenberk process is studied. We also discuss how to simulate this Cox process and the tittering problem. To obtain the efficient [ilrored value we consider a Bayesiaii inference with using Markov C'liain Moult; Carlo me- thods and Birth-death Metropolis-Hastings algorithm.
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Kvantifikace struktury žárovových nástřiků s pomocí objemové rekonstrukce
Ctibor, Pavel ; Lechnerová, R. ; Hofmann, P.
The paper introduces a way to study structure of thermally sprayed coatings in detail. Two microstructures are compared, which originate from two different spraying techniques used for the same material. The material selected is stainless steel AISI 316L and the techniques are plasma spraying using water-stabilized plasma gun and wire arc spraying. A sophisticated analytical technique is applied which was developed for a 3D reconstruction of the architecture of thermally sprayed coatings, revealing their main characteristic structural features such as porosity and oxide phase. The technique is called 3D mapping and describes the shape of pores, their interactions, etc. It is based on optical microscopy and software treatment of microstructural images. Also it is possible to detect pores or the structural phases, provided that they can be separated by proper threshold. This method is here applied first time on wire arc sprayed coating and also on metallic coating containing oxides.
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