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Long-term development of raw materials prices
Guchshina, Yekaterina ; Čabla, Adam (advisor) ; Vild, Jiří (referee)
This bachelor thesis focuses on long-term development of raw materials and connected with them Simon - Ehrlich bet. Basic data were obtained from accessible databases USGS. The aim of this thesis is by statistical methods to survey the development of prices five metals: copper, tungsten, tin,chromium and nickel, compare the data with an average income and money supply and try to extend famous Simon-Ehrlich wager to 2010 year. This thesis is divided into five parts. In the first two is described wager a background information of the development of metals and their prices. The statistical methods used in the work and their use to equalize basic data are described in the third and fourth chapters. The fifth chapter is an overview of prolongation bet in 1990-2010 period.
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Statistical methods in marketing research
Mošová, Monika ; Vild, Jiří (advisor) ; Čabla, Adam (referee)
This thesis deals with statistical methods in marketing research that are used especially for evaluating survey research. At the beginning of the thesis we shortly describe a marketing research process. Next chapter deals with data, afterwards we focus in two chapters on their analyzing. These chapters are Univariate data analysis and Bivariate data analysis and include brief theoretical descriptions which are afterwards demonstrated on examples. These examples are calculated sometimes manually but mostly the SPSS is used. In case we use the SPSS the way of input will be described.
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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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Estimates in Survival Analysis
Čabla, Adam ; Malá, Ivana (advisor) ; Tomášek, Ladislav (referee)
This thesis introduces methods used in time-to-date analysis. It is written generally and so usable in dealing with any example. The thesis deals with problem of censoring, which means, that some observations occurred after the following, which is typical for the lifetime analysis. Methods mentioned in the thesis are nonparametric and parametric estimates of the survival function and their characteristics, and regression models, concretely Cox model and accelerated failure time model, which examine effect of the covariates on survival function. In the thesis is beside survival function presented hazard function, which express intensity of the analyzed event and cumulative hazard function, which is created as the name suggests by cumulative summation of the hazard function. Estimates of these functions are obtainable from survival function and for parametric estimate often exists formula resulting from parameters of used distribution. Empirical part of the thesis introduces influence of several different types and degrees of censoring on parametric and nonparametric estimates of the survival function, mean and median. The other empirical example is the usage of regression analysis on the data from the lungs cancer research made by Mayo Clinic.
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