In the first part of the thesis, theoretical uncertainties of jet cross-section have been calculated for proton-proton collision at the center of mass energy of 8 TeV. For jet identification the anti-kT algorithm with scale parameter R = 0.6 was used. As the calculations showed, the major contribution to the total theoretical uncertainty comes from the uncertainty of parton distribution function parameters. In the second part of the thesis, the angular distribution of dijet events produced in proton-proton collisions at the center of mass energy 8 TeV were simulated using Pythia 8 Monte Carlo event generator. New physics model of quark compositeness that should manifest itself by quark contact interaction was studied using angular distribution of dijet events. Three angular variables were discussed and these variables were used to calculate 95% CL lower limit on contact interaction scale. The results were compared and it emerged that the sensitivity to contact interaction signals varies for these variables.

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Title: Technical reserves of non-life insurance in the internal solvency model Author: Bc. Jiří Thomayer Department: Department of Propability and Mathematical Statistics Supervisor: Mgr. Ing. Jakub Mertl Abstract: In this work we study and describe calculation of solvency capital using the standard formula contained in the Directive of the European Union (Solvency II), which should be put into practice in Europe on 1 January 2013. This calcu- lation is described in quantitative impact study 5. We describe a general approach to risk measurement and we show some particular practical measures used to risk measurement. We explain under what conditions the standard formula or its parts can be replaced by internal model. Next, we show disadvantages of using the stan- dard formula and we propose possible internal model to calculate risk premiums and risk reserves in non-life insurance. Finally we apply the proposed model for calculation risk reverses in non-life insurance in practice. Keywords: Standard formula, Risk measurement, Solvency II, Internal model;

Des progr ès exp erimentaux importants sont en cours dans l' étude des d ésint égrations rares de m ésons contenant un quark beau et impliquant un quark étrange et une paire de leptons. Le travail pr ésent mesure la port ée indirecte de ces progr ès sur des extensions supersym etriques du mod èle standard. Même dans des mod èles contraints, les limites indirectes ainsi obtenues peuvent dans certains cas être plus fortes que celles provenant de la recherche directe de particules supersym étriques. La pr écision gagn ée par les facteurs de forme et les corrections d'ordre sup érieur nouvellement impl ément és dans le programme public "SuperIso" montrent alors leur importance.

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Les modèles SU(2)xSU(2)xU(1) représentent une étape intermédiaire motivée par l'unification des groupes de jauge du Modèle Standard (MS). Un groupe de jauge étendu, par rapport a celui du MS, implique l'existence de nouveaux bosons de jauge, neutres et charges. Ces bosons dénotés Z' et W' sont recherches activement au Large Hadron Collider (LHC). Sur la base d'une analyse globale récente des contraintes sur ces modèles, provenant des expériences a basse énergie et du LEP, nous effectuons une analyse numérique au Leading Order (LO) des différentes signatures au LHC. Nous montrons que les sections efficaces totales pour les leptons et les paires de quarks de troisième génération, expérimentalement facilement accessibles, fournissent individuellement qu'uneinformation partielles sur le modèle réalise dans la nature. En revanche, les corrélations de ces mêmes sections efficaces pourraient bien conduire a une identification unique. Par la suite, nous étudions la production électrofaible d'une paire de quarks top au Next-to-Leading Order dans les extensions du MS prédisant un boson Z' supplémentaire et en supposant des couplages génériqueset diagonaux dans la base des saveurs. Nous calculons les corrections virtuelles et réelles a l'ordre de O(alS*alW^2) et les implémentons dans le générateur d'événements Monte Carlo POWHEG BOX qui permet de réaliser de manière cohérente la fusion du calcul QCD NLO avec les parton showers. Nousconstatons que les corrections QCD NLO peuvent être très importantes, mais que les K-facteurs restent modestes dans la région de masse invariante centrée autour de la masse de la résonance. / General SU(2)x SU(2)x U(1) models represent a well-motivated intermediate step towards the unication of the Standard Model (SM) gauge groups. Extended gauge group sector, as compared to that of the SM, leads to additional neutral and charged gauge bosons. These so-called Z' and W' bosons are actively searched for at the Large Hadron Collider (LHC). Based on a recent global analysis of low-energy and LEP constraints of these models, we perform numerical scans of their various signals at the LHC at Leading Order accuracy. We show that total cross sections for lepton and third-generation quark pairs, while experimentally easily accessible, provide individually only partial information about the model realized in Nature. In contrast, correlations of these cross sections in the neutral and charged current channels may well lead to a unique identification. Subsequently we study the electroweak top-pair production at Next-to-leading Order (NLO) accuracy in the SM extensions with an additional Z' boson assuming general flavour-diagonal couplings. We calculate the virtual and real corrections at order O(alS*alW^2) and implement them in the POWHEG BOX framework which allows for consistent matching of NLO QCD calculations with parton showers. We find that the NLO corrections can be very important but the K-factors in the invariant mass region around the resonance mass are modest.

The current diploma thesis examines Czech listeners' perception of various accents of English from the points of view of comprehensibility, pleasantness, socioeconomic status, and model suitability. The main aim of the study is to contribute to the discussion on how accent variation within the Anglophone world is perceived by non-native speakers, and what aspects influence their evaluations of the accents. The theoretical part of the thesis defines several terms related to the domain, describes selected pronunciation varieties of English, and summarizes research which has focused on native accents of English in the perception of non-native speakers. The research part of the thesis consists of a study, in which 39 Czech students from two types of schools evaluated six accents of English and provided information about their experience with English and Anglophone cultures. The results showed that standard varieties are favoured by the students in all four respects, but also that students' evaluations, especially for pleasantness, may be affected by their relations to the Anglophone world. Key words: Native Accent, Regional Variation, L2 learner, Comprehensibility, Socioeconomic Status, Pronunciation Model, Standard

This thesis deals with the high speed transient modelling in the electrical networks. The introduction of this work discusses mathematical models of the individual devices used in the system and focuses on the line representation. It also contains a more detailed description of Bergeron and frequency dependent line model. The objective of this thesis is to design a network model using ATP-EMTP simulation program. In this model, the switching overvoltage caused by shunt reactor switching and lightning overvoltage are simulated. The thesis thoroughly describes the settings of the components used in the model of analysed network and in conclusion evaluates obtained simulation results in a relation to the insulation coordination.

In my thesis I focused on a group of heavily-adaptable Roma citizens. This group was defined as a group with elementary education who are unemployed and depending on the goverment assistance and aid. They receive government social welfare. The last criterion in stipulating the definition was that they lived socially separated on the edge of the society. Their lifestyle reflects their social status and has a huge impact on their health conditions of heavily-adaptable Roma citizens. The goals of my thesis were to find out specifications of health care of healthy and ill heavily-adaptable Roma Citizen, and to work out some standards and some structure for educetional principles. In the course of my research I focuseld on finding the factors that influence the work of nurses with the heavily-adaptable Roma citizens.