Mathematical Sciences

Lund University

Survival analysis

Official Course Description


Survival data; censured and truncated data. Covariates. Distributions and models for survival data. Counting processes and martingal theory. Estimation of survival function and cumulative hasard function (Kaplan-Meier and Nelson- Aalen estimators). Non-parametric one- och multi-sample test. Kernel estimation of hasard function. Semi parametric regression models for data with covariates. Cox model. Aalens model. Likelihood theory for estimation in the Cox modell. Projection methods in counting processes for estimation in the Aalens model. Competing risk methods for analys of several different final states. Bootstrap methods for survival data. Statistic functionals for limiting distributions in survival analys.

Finished Sessions