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Analysis of the Survival and its Application in Risk Management
Kawuloková, Zuzana ; Komárková, Lenka (advisor) ; Magyar, Tomáš (referee)
The main objective of this thesis is to describe methodological approaches used in survival analysis and investigate the possibility of its uses in processes of credit risk modeling in bank. The thesis focuses at Kaplan-Meier and Life-table estimations of survival function, Kaplan-Meier estimation of hazard function and function of cumulative hazard and so called log-rank test. Estimations are performed on real bank data and obtained results are discussed in term of credit risk modeling. In the thesis is demonstrated that survival analysis can be strong instrument on the field of credit risk support analyses even though it is still recommended to use it in combination with other approaches.
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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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Survival analysis - probability distributions and their characteristics
Plocová, Michaela ; Malá, Ivana (advisor) ; Bílková, Diana (referee)
This bachelor thesis is concerned with probability distributions that are used in survival analysis and characteristics of these distributions (survival function, hazard rate, probability density function, mean residual life). The aim of this thesis is to provide a summary of probability distributions and their characteristics, then to graphically represent them and show the shapes they can take in dependence on different parameters of distributions. The thesis is divided in 4 parts, the first three parts are mainly theoretical and they focus on general definitions of the characteristics, the most widely used distributions in survival analysis and mixture distributions. The last part is practical and focuses mainly on graphic representation of the characteristics for separate distributions and different values of parameters. Also, for each distribution measures of location and variability are calculated. The characteristics of mixture distributions are also graphically represented.
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