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BRNO – NEW SOUTH CENTRE LOCATION – POŘÍČÍ, BRIDGES TRINITY, THE AREA OF COMMUNICATION AND SOCIAL INTEGRATION, MULTIFUNCTIONAL OBJECT AND SPACE
Prokešová, Markéta ; Bindr, Tomáš (referee) ; Kiszka, Josef (advisor)
This bachelor thesis deals with understanding the place, its analysis, reflections on future development and then the design of a new part of the city, buildings, renovations and modifications. It's necessary to think about social and cultural functions to ensure a comfortable life of the population, social interaction in the already existing community and support for incoming residents in the new part of the city. The semester work follows the proposal of revitalization of Svratka by prof. Ing. arch. Ivan Ruller, develops its potential and considers further expansion
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Truncated counting processes
Přítel, Ondřej ; Pešta, Michal (advisor) ; Prokešová, Michaela (referee)
The aim of this thesis is the prediction of insurance events under the condition that the data related to the occurrence of the events is truncated. The nature of the truncation lies in the fact that in the present we observe only those events that were already reported to the insurance company. Occurrences and reporting are modeled by a two-dimensional non-homogeneous Poisson process. The intensity of occurrences is derived from Kingman's Displacement theorem and is computed as a convolution of the intensity of reporting and the density of the delay in between occurrences and reporting. The estimations of the parametric function of the intensity of reporting and the distribution are preformed using the maximum likelihood method. In addition, theoretical background concerning counting processes primarily directed to the Poison processes is discussed in this thesis. 1
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Patterns of heated tobacco products usage among women: qualitative research
Prokešová, Miroslava ; Kulhánek, Adam (advisor) ; Kočvarová, Linda (referee)
Introduction: A relatively new trend that has been gaining popularity in recent years is heated tobacco, which has been on the Czech market since 2017. Although the number of users of heated tobacco products in the Czech Republic is increasing, the phenomenon is still relatively under-mapped. There is also very little information on the gender specificities of the use of heated tobacco. Therefore, this study focuses on mapping and describing the patterns of use of heated tobacco products among women who have switched from using conventional cigarettes to heated tobacco products. Aims: The main aim of the research is to map the patterns of use of heated tobacco products among chosen women in the adult population of tobacco users in the Czech Republic. The sub-objectives are to describe the nature of heated tobacco product, find out what motivated female users to switch to heated tobacco products. And what are the typical situations when women use the device. Sample: the research sample was selected by simple intentional (purposive) sampling method, combined with snowball sampling method. The final sample consisted of 7 female respondents. The mean age was 25,7 years (youngest 21 years and oldest 34 years). Methods: The research was conducted using a qualitative method. Data was collected by...
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Coupling, transportation metrics and applications to approximate counting
Kluvancová, Rozálie ; Prokešová, Michaela (advisor) ; Swart, Jan (referee)
An important property of discrete-time Markov chains with finite state space is the rate of convergence of the marginal distribution of the chain to the stationary distribution (i.e. mixing rate). If we construct a coupling of two Markov chains with the same transition matrix, where one starts from a stationary distribution and the other from a fixed state, we can use it to estimate the mixing rate. The main goal of this thesis is to describe how we can construct such a coupling using the transportation metric, and to apply this method to approximate counting of all proper colorings of the graph. 1
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Four-point problem
Hálová, Eliška ; Pawlas, Zbyněk (advisor) ; Prokešová, Michaela (referee)
In this thesis we analyze a well-known mathematical question known as the four point problem. It asks for the probability that four points taken at random in a plane form a convex quadrilateral. Since there is no concrete distribution of the random points stated in the original question, the problem does not have an unequivocal solution. In this work we consider three different probability distributions of the points, namely, continuous uniform distribution, discrete uniform distribution and bivariate normal distribution. Our assumption is that the points are mutually independent. We derive a detailed solution of the four point problem for each of the distributions. Additionally, we state some already existing results. 1
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Brno lives on Veveří again
Prokešová, Markéta ; Mikulášek, David (referee) ; Františák, Luboš (advisor)
The diploma thesis deals with the urban design of the completion of the block on Veveří and the architectural design of two apartment buildings on Veveří Street, the revitalization and modification of streets, the transport and parking in underground garages. It also deals with the public space on the newly created Závodní and Severní streets and life on Veveří within the commercial parterre and public spaces. The goal was to revitalize a dilapidated and unused block almost in the very centre of Brno, to create an adequate spatial design of buildings, which meet the social, economic and environmental requirements of the 21st century.
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The vanished synagogue in Pelhřimov
PROKEŠOVÁ, Monika
The topic of the diploma thesis is the presentation of the now vanished neo-Gothic synagogue in Pelhřimov, which was built in 1890-91 by the Jewish religious community in Pelhřimov according to the design of the Viennese architect Max Fleischer. According to his designs were built several synagogues in Vienna and Bohemia. The diploma thesis places the Pelhřimov synagogue not only in the context of Fleischer's work, but also in relation to some other synagogues in the Pelhřimov region, both still existing and vanished. The aim of the diploma thesis will be not only the overall evaluation of the Jewish synagogue in Pelhřimov, but also a warning about its post-war fate. The building stood in the city center until 1967, when the then communist regime had it demolished and was built the department store Perla in its place. The result of the work could also be a virtual reconstruction of the vanished architecture of the Pelhřimov synagogue.
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Random walks on the symmetric group - how many times should you shuffle a deck of cards
Hruška, Martin ; Prokešová, Michaela (advisor) ; Hlubinka, Daniel (referee)
This thesis deals with random walks on a symmetric group, namely the models that are used to describe the shuffling of a deck of cards. In this work we focus on the question of mixing speed (the speed of convergence of the marginal distribution of a random walk to its stationary distribution). We ask ourselves a basic question when shuffling cards: how many times do the cards need to be shuffled so that they are already sufficiently randomly distributed. The random walk model, which is a Markov chain, is the mathematical formalization of the card shuffling process. We transfer the card shuffling problem to the problem of estimating the distance between the marginal distribution of this Markov chain and its stationary distribution. We then use standard methods to estimate the convergence rate of the Markov chain to its stationary distribution, such as strong stationary times. 1
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Parametric estimation of the intensity function of point processes
Rybín, Jan ; Dvořák, Jiří (advisor) ; Prokešová, Michaela (referee)
The thesis introduces spatial point processes. Particularly, it focuses on Poisson process, Thomas process and intensity function, which describes those two processes. The main focus is put on processes that depend on an unknown parameter. It is shown that in order to find an estimate of the unknown parameter even for general processes, it is reasonable to use maximum likelihood function derived from Poisson processes. All new terminology is explained in detail with the help of simple examples. The new terminology is then used in simulation studies that compare qualities of estimates in different statistical models. 1
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Estimation of the K-function of a point process using global normalization
Funková, Veronika ; Dvořák, Jiří (advisor) ; Prokešová, Michaela (referee)
Point processes are random local finite sets of points in a space that are used for mod- elling and subsequent spatial data analysis. Same of their useful characteristics are the pair correlation function and also the K-function, which describe point interactions with respect to the distance between points. There are several ways to include informa- tion about the non-constant intensity function in the estimates of these characteristics for inhomogeneous processes. In the older estimate, we use information about a value of the intensity function only in places where the process points are located. However, the new estimate works with a value of the intensity function within the whole observation window. In this thesis we focus on the comparison of these two estimates. In the third chapter we theoretically present these estimates and in the fourth chapter we compare their behaviour based on simulations of 8 point process models, while finding the optimal value of bandwidth for their kernel estimates. 1
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