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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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Computation of rate of return of unit trust
SKŮPA, Martin
Nowadays, plenty of people are in need of computation rate of return of unit trust. This is achievable by elaborating the methodology of computation of the profitability of the unit trust, taking into account the random interest rate. Profitability of different investment strategies is compared. The comparison is accompanied by graphs. There is an explanation why using this method of investment is an excellent way for individuals to get a diversified exposure in the equity market. Subsequently an appropriate portfolio composition and a short introduction to history of common business investment strategies are mentioned. Some analyses of random interest rates done by computer programme Microsoft Excel are also shown. These analyses which use specific functions such as standard deviation, average value, normal distribution and take into consideration volatility and risk lead to the final model for calculating the return on the unit trust.
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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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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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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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