Bachelor theses
Estimation of parameters in the Accelerated Failure Time model
Author
Martin Benedikt
Year
2024
Type
Bachelor thesis
Supervisor
Mgr. Petr Novák, Ph.D.
Reviewers
Ing. Jitka Hrabáková, Ph.D.
Department
Summary
The bachelor's thesis focuses on the implementation of regression parameter estimation in a semiparametric accelerated failure time model. The thesis first introduces survival analysis, the approach to survival analysis using counting processes, and then regression modeling in survival analysis. Subsequent chapters provide detailed descriptions of the chosen methods for estimating regression parameters of semiparametric accelerated failure time model and the constructed R package. The selected methods are tested at the end using both real and simulated data. An extensive simulation study was conducted on simulated data, where were selected methods tested with different scenarios including different procentual number of censoring, number of observations and different distributions of model deviations. The practical result of the thesis is an implemented R package that executes selected methods for estimating regression coefficients and includes all necessary tools for the semiparametric analysis of censored data.