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A comparison of frequentist and Bayesian approaches to probability
 Dupal, Pavel ; Karel, Tomáš (advisor) ; Bílková, Diana (referee)
The aim of this thesis is to provide a basic comparison between the classical (frequentist) and Bayesian schools of statistics on both the historical and the scientific level. The history of statistics is examined in short starting from the 17th century through the recent years. Key figures and discoveries are mentioned, as well as some of the occasions when the frequentist and Bayesian approaches clashed or influenced one another. Different interpretations of probability are listed and the Bayesian approach is introduced via Bayes' Theorem. The frequentist and Bayesian methods for point estimation, interval estimation and hypothesis testing are then described and compared. Every method is then further presented in an example and the results are evaluated using selected criteria.
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