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Stochastical inference in the model of extreme events
Dienstbier, Jan ; Picek, Jan (advisor) ; Jurečková, Jana (referee) ; Jarušková, Daniela (referee)
Title: Stochastical inference in the model of extreme events Author: Jan Dienstbier Department/Institute: Department of probability and mathematical statistics Supervisor of the doctoral thesis: Doc. RNDr. Jan Picek, CSc. Abstract: The thesis deals with extremal aspects of linear models. We provide a brief explanation of extreme value theory. The attention is then turned to linear models Yn×1 = Xn×pβp×1 + En×1 with the errors Ei ∼ F, i = 1, . . . , n fulfilling the do- main of attraction condition. We examine the properties of the regression quantiles of Koenker and Basset (1978) under this setting we develop theory dealing with extremal characteristics of linear models. Our methods are based on an approximation of the regression quantile process for α ∈ [0, 1] expanding older results of Gutenbrunner et al. (1993). Our result holds in [α∗ n, 1 − α∗ n] with a better rate of α∗ n → 0 than the other approximations described previously in the literature. Consecutively we provide an ap- proximation of the tails of regression quantile. The approximations of the tails enable to develop theory of the smooth functionals, which are used to establish a new class of estimates of extreme value index. We prove T(F−1 n (1 − knt/n)) is consistent and asymp- totically normal estimate of extreme for any T member of the class....
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Evaluation of elastic parameters for models of isolated cells
Krbálek, Jaroslav ; Fuis, Vladimír (referee) ; Burša, Jiří (advisor)
This diploma thesis focuses on computational modeling of the cell mechanical tests. The goal of this thesis is to build a cell model and to simulate compression test on this model. If necessary, the model should be adjusted so the model reflects real cell behavior. It was created the cell model reflecting cytoplasm, nucleus, membrane and cell cytoskeleton. Cytoskeleton was modeled as tensegrity structure. After this, the pressure test was simulated on this model. The behavior of the cell model and real cell was compared using the stress force. The stress force - cell deformation curve was markedly different for the cell model and the real cell. For this reason, the cytoplasm material model was adjusted. The difference between the curves was acceptable after this modification. It was found during computations that the cytoskeleton model influence on the cell load is minimal. These results does not reflects real cell behavior, which means that the model is considered inadequate for performing stress load simulation.
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Volumetric model of human vocal folds
Vampola, T. ; Horáček, Jaromír
The article describes the vollumetric 3D FE model of real human vocal folds in a defined phonation position. The model was developed from the CT images of the plaster casts obtained by a special procedure during experiments with the excised human larynges, when the phonatioon caused by the airflow was suddenly stopped without changing the position of the fixed larynx. The model is determined for studies of dynamical stresses in the vocal fold tissue during vocal folds collisions.
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Is import of goods from european countries to Czech republic more or less influenced by changes in nominal and real exchange rates than in non european countries?
Vereš, Jan ; Stroukal, Dominik (advisor) ; Slaný, Martin (referee)
This bachelor thesis analyses the connection between import of goods from foreign countries to Czech Republic and the exchange rate changes. The initial hypothesis of this paper is to prove that the depreciation of domestic currency has positive influence on balance of trade balance. For this purpose there is eight econometric models which were created by using time series from years 2003 to 2016. These models are divided in pairs among four chosen countries. For each country two models were created that follow the development of trade balance between Czech Republic and one of the countries in two different time frames. All the models always use the real effective exchange rate, growth rate of GDP for Czech Republic and growth rate of GDP for one of the countries as explanatory variable. It is connected with the second task of this thesis, which is the analysis of the differences in the behaviour of the models that belong to the countries which are members of the EU and these that are not. The aim is to find out whether the existence of tariffs on imported goods from countries out of the EU causes visible differences in the behaviour of the variables that were included in the models. Based on the outcomes of all eight models the main hypothesis has been proved right for three out of four countries. In the models for Germany, China and France the relation of real exchange rate and trade balance came out as positive in long term, in short term the outcome was ambiguous. The second question of this thesis has been answered, but its added value is questionable. The final models for each state do show some noticeable differences and they can be used to determine if the influence of the change of exchange rates on trade balance is smaller or bigger in the countries where tariffs are used. On the other hand, from the results we can learn that the sample of only four countries is insufficient for the deduction of any conclusions.
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Influence of social politics on fertility rate in specific regions of Czech republic
Dvořák, Josef ; Melzochová, Jitka (advisor) ; Babin, Jan (referee)
Thesis is focused on relationship between fertility rate and tools of state support. The goal is to reveal relationship between these two factors. Partial goal is to discover specific effects of tools of state support in specific regions of Czech republic. I have aimed on research at national level and also specific regions between years 1993-2014. In order to find these relationships I used method that compares differences in development of the fertility rate. After that, I set up regression model solved by method called fixed effects. For specific regions analysis was used OLS method. Model was able to explain more than 80 % of variability. This results can be used for predicting of citizens behavior, when some changes in family allowances occurs. Main finding is, that most motivating tools are parenting allowances and child benefits.
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Empirical analysis of Okun’s law in Iceland
Zajíček, Zdeněk ; Slaný, Martin (advisor) ; Chytilová, Helena (referee)
This thesis deals with empirical analysis of Okuns law in Iceland. Okuns hypothesis of negative relationship between real GDP and the rate of unemployment is being tested on two models, difference and gap, using OLS estimation. Also there are two filtration methods used (Hodrick-Prescott and Baxter-King) for gap model estimation. The results of all models showed weak relationship of variables, but proved the hypothesis. In the following part, the same procedure is being used on Finlands data, to get comparison of coefficients. Results for Finland showed weaker bond of variables than in Iceland, but the Okuns hypothesis still holds. Last part is focused on finding the sensitivity of rate of unemployment to changes in added value of each economical sector in Iceland using the production approach model. This model gave inconclusive results due to insufficient data available.
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The effect of investment in tertiary education on gross wages in the region Prague
Diessner, Daniel ; Chytil, Zdeněk (advisor) ; Babin, Jan (referee)
The aim of this work is to determine whether and how higher education affects gross wages. The theoretical part focuses on the theory of human capital, especially investment in education. The theory posits that a higher investment in human capital leads to higher yield, higher wages. The validity of this concept will be tested on the group of respondents who entered the labour market at the turn of millennium. Concentration of candidates with tertiary education in this period has risen considerably, which could cause an imbalance in the labour market. The practical part is based on the work of Mincer (1974). I used Mincer Earnings Function as a basis to build regression model. Partial aim is to prove the declining rate of return on investment in tertiary education using Mincer Equation.
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Ball-Joint Limited Heating during Accelerated Testing
Kříž, Ondřej ; Porteš, Petr (referee) ; Ramík, Pavel (advisor)
The object of this work is design model of ball joint and define boundary conditions for real condition representation as most exact as possible. Then set parameters of test in TRW-DAS, a.s. for prevention of reacceleration with change of failure mode. Summary of ball joints, their testing and accelerated tests is in the beginning of the work. Next part describes ball joint creation in Pro/Engineer, transfer to Ansys, preparing to solution, fatigue test evaluation and comparing with create model.
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Commodity price risk hedging
Pospíšil, Jakub ; Taušer, Josef (advisor) ; Čajka, Radek (referee)
The thesis presents and applies modern theory of hedging. It determines optimal hedging strategies for Strabucks and GlencoreXstrata corporations on coffee bean and high-grade copper markets. Through these two case studies the theoretical models are tested and assessed based on their relevance to business needs.
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