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The use of Computers in the Number Theory
Konečný, Zdeněk ; Karásek, Jiří (referee) ; Skula, Ladislav (advisor)
PARI/GP is a relatively obscure mathematical software that was designed especially for quick calculations in the number theory, but which has also found its application in other areas of mathematics. This work gives an overview of the basic commands of PARI/GP, and some simple examples to show their potential use. PARI/GP is then used for looking for large primes of special forms.
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Cost of Equity as a Measuring Instrument of Risks during the Corporate Life Cycle
Konečný, Zdeněk ; Bartoš, Vojtěch (referee) ; Duspiva, Pavel (referee) ; Živělová, Iva (referee) ; Zinecker, Marek (advisor)
In this doctoral thesis is suggested the methodics for determination the risk structure depending on the corporate life cycle with considering the sector sensitivity to the economic cycle. The share of the operational and financial risk is calculated using the beta coefficient, in which the selected measuring quantities are included. The phases of the corporate life cycle are identified according to the quadrants of the Boston matrix and the sector sensitivity to the economic cycle is determined using the Spearman´s rank correlation coefficient describing the relation between the gross domestic product and sales of the sector. The methodics is applicable for both managers and investors.
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Economic Policy in the European Union Member Countries
Šíchová, Tereza ; Konečný, Zdeněk (referee) ; Bočková, Nina (advisor)
This masters thesis is focused on a comparation between agricultures of Czech republic and Hungary. The comparison is done for the periods before and after entering the European union. The goal of the thesis is to observe the influence of the Common agricultural policy on the agriculture of both countries. An analysis of development of selected macroeconomic indicators and products was performed.
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Statistical analysis of compound distributions
Konečný, Zdeněk ; Druckmüller, Miloslav (referee) ; Michálek, Jaroslav (advisor)
The probability distribution of a random variable created by summing a random number of the independent and identically distributed random variables is called a compound probability distribution. In this work is described a compound distribution as well as a calculation of its characteristics. Especially, the thesis is focused on studying a special case of compound distribution where each addend has the log-normal distribution and their number has the negative binomial distribution. Here are also described some approaches to estimate the parameters of LN and NB distribution. Further, the impact of these estimates on the final compound distribution is analyzed.
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