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Analysis of Economic Indicators Using Statistical Methods
Hlavenka, Dušan ; Šustrová, Tereza (referee) ; Novotná, Veronika (advisor)
This Bachelor´s thesis focuses on the use of statistical methods in economic indicators with a focus on the financial market in the Czech Republic. Specifically, the work deals most liquid market for financial instruments, with blue chip emissions in the PX index, which is monitored by the Prague Stock Exchange. The essence is the analysis of individual stocks and calculating statistical quantities that should be relevant to a potential investor in the financial market.
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Data reconciliation and gross error detection
Nováček, Adam ; Šomplák, Radovan (referee) ; Touš, Michal (advisor)
Operational data are used for control and optimization of a process in industrial and energy plants are used. Data provided from measurement are affected by errors arising from uncertainty of measurement (imprecision of measuring instruments). Data reconciliation provides us more precise variables which give us the opportunity to better optimize and achieve higher economic gains. The objective of this bachelor's thesis was to study the issue of data reconciliation of measurement and gross error detection in measurement variables. This work is divided into two parts. The first part is theoretical, describing measurement errors, solution methods for data reconciliation and statistical tests for gross error detection. The second part is a practical demonstration of data reconciliation on two examples. The results of reconciliation and the solution procedure are included. Complete procedure can be found in the Annex.
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Identification of pauses in noisy speech signal
Kepák, Petr ; Míča, Ivan (referee) ; Smékal, Zdeněk (advisor)
The basic problem of speech is a complete separation of the natural noise which arise from correct articulation of voiced and unvoiced consonants from noise and disturbance environment. Objective of this master’s thesis is to find an effective method that could identify the pauses without speech activity, which can identify the properties of noise and disturbance. Once the noise is correctly identified, it is already possible to use different methods for its removal. The master’s thesis describes two methods of pauses identification. These methods are programmed in Matlab and tested on nine speech recordings. Methods analysis of the results was performed using the ROC (Receiver Operating Characteristic) curves. In the end are summarized results analysis of created methods.
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Performance comparison of methods for design of experiments for analysis of tasks involving random variables
Martinásková, Magdalena ; Novák, Drahomír (referee) ; Vořechovský, Miroslav (advisor)
The thesis presents methods and criteria for creation and optimization of design of computer experiments. Using the core of a program Freet the optimized designs were created by combination of these methods and criteria. Then, the suitability of the designs for statistical analysis of the tasks vith input random variables was assessed by comparison of the obtained results of six selected functions and the exact (analytically obtained) solutions. Basic theory, definitions of the evaluated functions, description of the setting of optimization and the discussion of the obtained results, including recommendations related to identified weaknesses of certain designs, are presented. The thesis also contains a description of an application that was created to display the results.
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Web applications supporting education of signal processing fundamentals
Kuře, Dominik ; Ištvánek, Matěj (referee) ; Rajmic, Pavel (advisor)
The main topic of the thesis is the creation of four web applications which are used as learning material for students who are studying the basics of signal processing. The areas on which the thesis focuses on are root mean square and expected value of signals, basic signal operations (amplification, geometric translation, scale change), the effect these operations have on the Fourier series of the given signal and also resampling of a signal using different methods of interpolation (nearest neighbour method, linear interpolation, cubic interpolation and interpolation using the sinc function). These applications are implemented using the TypeScript programming language which is an extension of the JavaScript language which enhances it with static types. Other libraries that are used are the React library which is used for front-end web applications and a library which allows easy to implement but still very detailed manipulation of charts called Chart.js. The first half of the theoretical part of the thesis focuses on those areas of signal processing which are necessary to understand so the applications can be created. The second half focuses on information technologies used for the implementation of said applications. Besides the already mentioned technologies, the text also briefly mentions the basics of HTML and CSS languages as well as the JSX syntax. The practical part describes how the applications were implemented and also serves as documentation for the source code. This part shows the reader how to create differently shaped signals in code (sine, triangle, sawtooth, square with different duty cycles, noise) and how to obtain the Fourier series of each of these signals, how to implement different signal operations, how to interpolate between multiple points using different interpolation formulas and what are some of the methods which can be used to apply cubic interpolation (finite difference method, cardinal spline, Catmull–Rom spline, natural cubic interpolation), what the applications look like and what is their structure.
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Statistical analysis of interval data
Troshkov, Kirill ; Antoch, Jaromír (advisor) ; Branda, Martin (referee)
Traditional statistical analysis starts with computing the basic statisti- cal characteristics such as the population mean E, population variance V , cova- riance and correlation. In computing these characteristics, it is usually assumed that the corresponding data values are known exactly. In real life there are many situations in which a more complete information can be achieved by describing a set of statistical units in terms of interval data. For example, daily tempera- tures registered as minimum and maximum values offer a more realistic view on the weather conditions variations with respect to the simple average values. In environmental analysis, we observe a pollution level x(t) in a lake at different mo- ments of time t, and we would like to estimate standard statistical characteristics such as mean, variance and correlation with other measurements. Another exam- ple can be given by financial series. The minimum and the maximum transaction prices recorded daily for a set of stocks represent a more relevant information for experts in order to evaluate the stocks tendency and volatility in the same day. We must therefore modify the existing statistical algorithms to process such interval data. In this work we will analyze algorithms and their modifications for computing various statistics under...
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Analysis of number lotteries
Jedličková, Veronika ; Pawlas, Zbyněk (advisor) ; Lachout, Petr (referee)
This bachelor thesis focuses on most well-known lotteries on the Czech market, in particular Sportka and Loto. Thesis observes many aspects influencing progress of these games. Winnning prices and lottery participant's expectations are examined. Total sum of these winnings is influenced by the amount of money in jackpot. Therefore, jackpot sum modelling and period between wins is taken into account. Moreover, expected period between two jackpot hits, distribution of drawn numbers and probability of drawing the same winning sequence is examined.
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Interactive web applications for teaching purposes in the field of signal processing
Kuba, Michael ; Rajmic, Pavel (referee) ; Záviška, Pavel (advisor)
This thesis deals with selected topics of signal processing. The aim of the project is the implementation of four interactive web applications in JavaScript, intended for teaching purposes. These applications deal with following topics: rational number resampling of the discrete signal, mean and root mean square signal values, discrete linear and circular convolution in 1D, and discrete cross-correlation. The thesis is divided into the theoretical and the practical part. There is a theroretical foreword of topics the applications deal with, including an introduction to signals followed by a description of functionality and the user interface of created applications.
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Signal analysis options on Arduino platform
Havlíček, Michal ; Zuth, Daniel (referee) ; Huzlík, Rostislav (advisor)
The aim of this bachelors thesis is to analyse signal with Arduino platform by creation of program which is able to perform calculations of signal´s mean value, efficiency value, Fourier transform and subsequent export of these results into computes. Furthermore it examines testing of this program and evaluation of possible limitations with usage of Arduino platform.
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Interactive web applications for support of teaching signal processing
Mašek, Petr ; Rajmic, Pavel (referee) ; Záviška, Pavel (advisor)
The bachelor thesis deals with the topic of processing one-dimensional signals. Five interactive web applications have been created in JavaScript to support teaching. These are applets that relate to the following topics: rational number resampling of the discrete signal, mean and root mean square signal values, discrete linear and circular convolution in 1D, and discrete cross correlation. The thesis introduces each topic by a theoretical foreword, followed by description of implementation and user interface of the created applications and further there is a commentary on the development and testing of applets.
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