Master thesis deals with the link between the internal and external parameters of the combustion engine. Its point is not to exactly define this links but only check if this links exist and what is their character. First part of the thesis is dedicated to present state of the mixture preparation systems of the petrol engines. Here are described the ways of the lambda regulation and its effect of the specific fuel consumption. Further are described types of injection systems and at the end is described the way for the determination of the ignition advance. Second part is focused on the chosen mathematics-statistics methods which are interesting and useful for the solving this problem. Last part is paid to the verification of the existence the links of the operating parameters and attempt of their definition in numeric way using the Maple software and chosen mathematics-statistics methods.

The aim of the Diploma thesis is the analysis of the region of South America. This analysis is a combination of three areas of regional development: economic, social and environmental. Basic concepts of the problems characterizing the development of the region are described in the literature research part. Outputs of own analysis are the construction of a composite indicator which compares living conditions among selected countries and a cluster analysis, which shows the most similar clusters of the selected countries.

Diploma thesis follows the options of activities in management of selected small and medium-sized enterprises in Czech Republic. Using statistical and econometric tools evaluate their impact on economic indicators during monitored period. After an introductory part that deals with general information about SMEs is first theoretically and then also practically formulated multivariate regression analysis and testing of the hypotheses from which will be subsenquently find the appropriate recommendations.

Climate change prediction and evaluation of its impact currently represent one of the key challenges for the science community. Regional climate models (RCM) have been recently established as a main source of the data for climate change assessment studies. Nevertheless, RCM outputs suffer from systematic errors caused primarily by their low spatial resolution and cannot be used directly without any form of bias correction. The bias correction is an actual topic in climatology and several correction methods were developed, ranging from the simple additive method to more advanced approaches (e.g. quantile mapping). However, despite this progress, the bias correction methods suffer from several difficulties, which bring another source of uncertainty into the climate change impact assessment studies. This thesis is focused on two problematic points connected with the bias correction of daily precipitation data. The first one is a non-stationarity between calibration and application periods. New correction methods are developed, showing an increased resistance to non-stationary conditions. The second problem is related to the correction of a dependence (i.e. correlation and covariance) structure of multivariate precipitation data. A new procedure is proposed, correcting the complete dependence structure of the model data. All newly introduced methods are validated using measured and RCM-simulated data; the validation demonstrates their suitable applicability.

The motivation of this thesis is to provide a basic framework for treating long-range cross-correlated processes while keeping the methodology and as- sumptions as general as possible. Starting from the definition of long-range cross-correlated processes as jointly stationary processes with asymptotically power-law decaying cross-correlation function, we show that such definition implies a divergent at origin cross-power spectrum and power-law scaling of covariances of partial sums of the long-range cross-correlated processes. Chap- ter 2 describes these and other basic definitions and propositions together with necessary proofs. Chapter 3 then introduces several processes which possess long-range cross-correlated series properties. Apart from cases when the mem- ory parameter of the bivariate memory is a simple average of the parameters of the separate processes, we also introduce a new kind of process, which we call the mixed-correlated ARFIMA, which allows to control for both the bi- variate and univariate memory parameters. Chapter 4 deals with tests for a presence of long-range cross-correlations. We develop three new tests, and Monte-Carlo-simulation-based statistical power and size of the tests are com- pared. The newly introduced tests strongly surpass the already existing one. In Chapter 5,...

Medunová, P. Globalization on equity markets. Diploma thesis. Brno: Mendel university in Brno, 2013 This diploma thesis engages in measuring correlation between European countries and studies its impact on portfolio diversification possibilities. Theoretical work deals with the concept of globalization, financial integration and also describes process of Europe integration. In the thesis are also described the most important stock exchanges and indexes connected with them. In the last part there is dissected problem of risk diversification focused on international diversification. In practical part there is made correlation analysis and Granger causality test.

The thesis focuses at the evolution of cryptocurrencies or more precisely at the competition process between them in expanding to broader usage. The first main goal of the work is to find out, whether Bitcoin, as the first and still most capitalized cryptocurrency, has an advantage of higher maturity than alternative cryptocurrencies. The second goal is to analyze whether the individual cryptocurrencies are perceived individually by market participants, which could grant the alternative cryptocurrencies an option to compete with Bitcoin by offering better features as safer technology or faster transaction. The analysis of volatility patterns in their exchange rates via various GARCH models suggests that Bitcoin still has advantage in higher maturity. The analysis of the correlation between various alternative cryptocurrencies and Bitcoin finds positive correlation and thus suggests that the cryptocurrencies are rather perceived together. JEL Classification G17, G19, E40, E41 Keywords cryptocurrencies, volatility, GARCH, money, correlation Author's e-mail 79828843@fsv.cuni.cz Supervisor's e-mail frantisek.cech@fsv.cuni.cz

Carbon fibre reinforced composites (CFRP) are construction material, which is viewed as a perspective for its ratio of mechanical properties to weight. In recent years the research was focused on implementing the carbon-based composites among smart materials. Nevertheless, extent and volume of use of these composites in technical practice is still not up to the potential, which this modern material offers. One of substantial reasons is the lack of adequate instruments for continuous manufacturing quality control and for mechanical condition monitoring of ready-made construction parts. For this reason the presented dissertation thesis is focused on effectiveness enhancement of detection of deformation response in composites subjected to mechanical loading with uniaxial tension with employment of passive acoustic emission (AE) detection, optical method for detection of surface deformation fields digital image correlation (DIC) and electron microscopy scanning electron microscopy (SEM). Combination of used methods proved as a robust instrument for identification and monitoring of entire degradation process in composite material in course of mechanical loading.

Diploma thesis named „Analysis of phenological data for given species in protected landscape area Pálava within south Moravia region“ is focused partly on processing phenological historical database which includes pheno data about various birds populations. Thesis is also focused on field observations at various exeprimental sites, especially area Pálava. Historical records came from two localities in south Moravia since 1970 till 2003 according to given species and locality. Elaboration of phenological series and trends is done for three bird species - the Great Tit (Parus major), the Blue Tit (Parus caeruleus) and the Eurasian nuthatch (Sitta europaea). For final elaboration of phenological series the computer tool AnClim was used.The results showed earlier onset of mean laying day for great tit and blue tit (by 1.1. – 5 days within the decade). Also the trend analysis showed agreement within the phenological series when comparing trends among each other or among different sites.

This thesis aims to identify the links between economic developments and move-ments in US stock markets. The period from Q1 2001 to Q3 2016 inclusive was chosen for an analysis of the relationship between trends in GDP time series and the S&P 500 index. A correlation analysis was carried out on the time series ex-amined, while the Granger causality test was used to determine the causal rela-tionship between them.