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Length of doctoral studies at the Faculty of Informatics and Statistics
Hybšová, Aneta ; Malá, Ivana (advisor) ; Čabla, Adam (referee)
This thesis describes the survival analysis, exactly Kaplan-Meier estimate. A main part of the thesis deals with the problem of censored data, which is typical for survival analysis. The empirical part describes lenght of PhD studies at the Faculty of Informatics and Statistics and their "survival" in studies by Kaplan-Meier curves. First are analyzed uncensored data and then the whole data set (censored and uncensored data).
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Analysis of results in the Statistics course, 4ST201
Krajča, Marek ; Malá, Ivana (advisor) ; Čabla, Adam (referee)
The main objective of my bachelor thesis is to describe the discrepancy of students' results in the Statistics course, 4ST201. I hope to highlight the differences of student results between the winter semester of 2010/2011, summer semester of 2010/2011, and the winter semester of 2011/2012, during which a new structure of final examination was introduced. I will begin with a detailed discussion and analysis of results between the three aforementioned testing periods, and I hope to conclude by offering a hypothesis of discrepancies between the old and new testing structures.
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Evaluation of quality of life in terms of poverty rates
Brázdilová, Michaela ; Malá, Ivana (advisor) ; Čabla, Adam (referee)
This bachelor thesis deals with the evaluation of quality of life in terms of poverty rates. The aim is to define how social conditions of population affect subjective perceptions of quality of life. The paper provides an overview of the most important researches in this area, of which Survey on perception of quality of life in 75 European cities and survey Income and Living Conditions are analysed in detail. The dependence of a problem of poverty on other social indicators is investigated. The last chapter is devoted to calculations of poverty rates, especially at risk of poverty rate, but there are other indicators of poverty mentioned in terms of income inequality. In the summary, there is a poverty index presented as one possible indicator of social quality of life.
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Surveys of quality of life
Šištíková, Markéta ; Malá, Ivana (advisor) ; Vild, Jiří (referee)
The main aim of this bachelor thesis is to describe creation and evaluation of surveys, including selection of respondents and accurate formulation of the questionnaire. Thesis is focused on marketing and an medical environment and in relation to the quality of life survey. Endeavor of this thesis is to define quality of life for questionnaires examination creation. There are described the most important questionnaire examination of quality of life, that are known throughout the world and are used nowadays (questionnaire SF-36, EORTC QLQ-C30, EORTC QLQ-CX24, EG-5D).
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Statistical analysis of results from the subject 4ST201
Novák, Miroslav ; Čabla, Adam (advisor) ; Malá, Ivana (referee)
The main goal of this bachelor thesis is the statistical comparison of results from students who attended the course Statistika at the University of Economics in Prague. The thesis is divided into two main parts. The first part is concentrated on the results of students in winter semester of the academic year 2011/2012. This part is mainly focused on mid-term tests throughout semester. In the second part I compare results of students in the summer and winter semester, to this comparison I used data from summer semeseter 2010/2011 and data from winter semester 2011/2012. The small theoretical overview does not miss in the beginning and in the conclusion we can find the summary of all findings and calculations.
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Probability calculator in MS Excel
Ginzl, Michal ; Malá, Ivana (advisor) ; Vrabec, Michal (referee)
The main aim of this thesis is to perform analytical methods for estimating the most commonly used survival distributions. There are introduced the maximum likelihood estimates of the parameters for the exponential, log-normal, gamma, logistic, Gumbel and Weibull distributions without data censored. For some distributions are mentioned probability plotting and how to estimate parameters with method of least squares or by method of moments. There are discussed tests of goodness of the best fitting distribution. Two tests are based on log-likelihood function and another on test of hypothesis. Practical part of this paper forms application programmed in VBA in MS Excel. Main part of this application includes: module for probability calculations, graphs editor and module for data analysis.
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Transformations of random variables
Šára, Michal ; Marek, Luboš (advisor) ; Malá, Ivana (referee)
This bachelor thesis deals with the transformation of random variables,which plays a significant partv in the theory of probability. The main aim of this paper is to show few methods and techniques which are used when transforming random variables. At the very beginning of this paper one can find a definition and practical examples of the Lebesgue-Stieltjes integral and probability measure, which are nowdays present in every book dealing with modern explanation of theory of probability.
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The use of the lognormal distribution in analysing of earning
Nedvěd, Jakub ; Malá, Ivana (advisor) ; Bílková, Diana (referee)
Object of this thesis is to verify the possibility of use the lognormal distribution as a revenue-distribution model. This text describes characteristics of lognormal distribution and methods of estimating its parameters. Thesis is focused on three-parametric lognormal distribution, because it is most common in this dilemma. Using data from Informational system of average earnings this thesis finds out quality of models. There are described options of usage the lognormal distribution in analyzing revenues. At the end of this essay is suggested an easy analysis of differences between revenue-frequency distribution in the years 2000 and 2010. The thesis demonstrates the fact that the curve of lognormal distribution density function is applicable model which is reliable especially in the wide central part of revenue-distribution.
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Geometric probability
Březinová, Eliška ; Malá, Ivana (advisor) ; Čabla, Adam (referee)
This thesis deals with geometric probability applied on practical exercises. It covers Buffon's needle problem in detail; Laplace's conclusions about pi are supported by my own trial. Next, Bertrand's paradox is solved, and the conclusions are demonstrated on computer programs, which simulate the experiment. One chapter is dedicated to eight different exercises, which can be often found in textbooks. In the end we will mention practical usage of geometric probability, especially in the medicine field. We will point out to usage of modified Buffon's principle, which is used to estimate lengths of planar structures.
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Analysis of the development of hotel business in the Czech Republic and neighboring countries and the impact of financial crisis in this area
Sakharova, Evgenia ; Bílková, Diana (advisor) ; Malá, Ivana (referee)
Hotel businesses in Czech republic has changed dramatically in last 20 years. Therefore, it is interesting to follow its development and see the most influential aspects in this area. However, so far there are none publicly available studies of Czech hotel industry development. The aim of this thesis is to explore the various phases the industry went through and point out those factors which influenced the current situation the most. First of all, the analysis of the development in Czech republic is presented. Consequently, the comparison to the neighbor states is discussed to show relatively how well or bad the business was evolving. The thesis is based on statistical models created with the software STATGRAPHICS and Excel. The gained results show that one of the main reasons of the current downfall is the ever higher market supply. On the other hand, the always blamed economical crises, proved to have lesser influence upon the downfall than originally expected. Finally, the thesis states the reasons of the decreasing occupancy and proposes an increase in the quality of service as a possible solution.
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