| Area of Mathematics: | Statistics-Probability-Operational Research (ESPOR) | ||
| Semester: | 7ο | ||
| Course ID: | 72301 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 3 | Practice: 0 | Laboratory: 1 |
| ECTS : | 5 | ||
| Eclass: | For the course’s material, click here. | ||
| Instructors: | Panayiotis Bobotas | ||
Description
- Introduction, basic notions: survival function, hazard function, cumulative hazard function, mean residual life, etc. Distributions of life-times (time-to-event), some important models in survival analysis.
- Observation schemes of life-times, complete and censored data, types of censoring and likelihood.
- Kaplan-Meier estimator and Nelson-Aalen estimator. Confidence intervals for the survival function. Graphical tests. Log-rank test. Generalization of log-rank test and its special cases.
- Regression models in survival analysis. Accelerated failure time model, Cox proportional hazards model. Diagnostic procedures.
Bibliography
- Cox D. R. and Oakes D., Analysis of Survival Data. Chapman and Hall, 1984
- Lawless J. F., Statistical Models and Methods for Lifetime Data. John Wiley & Sons, N.Y., 1982
- Collett D., Modelling Survival Data in Medical Research. Chapman and Hall, 2003.
- Kleinbaum D.G., Klein M., Survival Analysis: A self-learning text. Springer, 2012.
- Klein J.P., Moeschberger M.L., Survival Analysis: Techniques for censored and truncated data. Springer, 2003.
- Moore D.F., Applied Survival Analysis Using R. Springer, 2016.
