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Gibbs particle processes
Petráková, Martina ; Beneš, Viktor (advisor) ; Pawlas, Zbyněk (referee)
We consider a recent result for the existence of infinite-volume marked Gibbs point processes and try to apply it to geometric models. At first, we reformulate a problematic assumption of the considered existence result and check that the theorem still holds. We use this result for the family of Gibbs facet processes (a special case of particle processes) and prove the existence for repulsive interactions. We find counterexamples for the process with attractive interactions and prove that the finite-volume Gibbs facet process in R2 does not exist in this case. We also study the class of Gibbs-Laguerre tessellations of R2 . We cannot use the mentioned existence result in general, but we are able to prove the existence of an infinite-volume Gibbs-Laguerre process with particular energy function, under the assumption that we almost surely see a point. 1
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Separability of the intensity function of a Poisson point process
Petráková, Martina ; Dvořák, Jiří (advisor) ; Prokešová, Michaela (referee)
Our main interest in the thesis is Poisson point process and one of its charac- teristics - intensity function. Whenever Poisson process has intensity function, its distribution is uniquely determined by it. Our main goal is to determine how to deduce from observed data whether intensity function is separable. We present a formal test of this hypothesis assuming exponential model of the in- tensity function depending on finite number of parameters. Properties of this test are then examined in a simulation study. 1
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Prices of flats n České Budějovice depending on the approach to the urban green
PETRÁKOVÁ, Martina
The main target of the thesis is to analyze the relationship of prices and access to urban green area for the selected location of the city, such as the substrate to determine values of urban greenery. This work is built on the application of the Hedonic pricing method.The thesis is divided into 4 parts. The study of literature was created the first chapter, which deals with the value of the green space, the environment in the Czech Republic and abroad, method of environmental valuation and the history of the Hedonic price method and his used. The second chapter contains target and methodology of work. The methodology describes the different steps of the methods of work. In the second part is the specification of the model, which is applied in the analysis. In this part is mentioned characteristic of the properties and collection of data. In the third chapter data analysis is divided in specific parts of the sections. The data are evaluated for the entire area, and then compare the area itself.
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Communication in a selected organization
PETRÁKOVÁ, Martina
The aim of this thesis was to bring issues to the topic of communication in a selected organization , focusing on communication in business and seeking to improve the design issues. In the literary section is clarification and extension of the concept of communication. The practical part was focused on familiarization with the company , its divisions, where they are heading and how communication takes place.
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