The curriculum is defined to be all that is covered in lectures and exercises.
Main literature is Rausand & Høyland: System Reliability Theory: Models, Statistical Methods, and Applications, 2nd Edition. Wiley 2004 (denoted R & H)
Notes and copies from books can be downloaded from the course homepage (under “Progress”). These are listed in the column for “Literature” in the course contents given below.
| Topic | Literature R&H | Comment R&H | Notes |
|---|---|---|---|
| Probability distributions for lifetimes. Fundamental properties. Important distributions and properties. | Ch. 2.1-2.14, 2.17, 2.20 | Only main results in 2.17 are covered. | Log-location-scale families (22.01) Independent censoring (22.01). |
| Lifetime data. Censoring. Nonparametric methods. Plotting (TTT, Kaplan-Meier, Nelson-Aalen.) The logrank test. | Ch. 11.1-11.3, 11.5 | About the exponential distribution(02.02) The logrank test (09.02) | |
| Parametric estimation and testing. Maximum likelihood. Information matrix. Confidence intervals. | CH. 11.4 | Likelihood construction (12.02) On parametric inference (12.02) | |
| Regression methods. Covariates. Weibull regression. Cox-regression. Accellerated lifetime testing. | Ch. 12 | Example 12.2 page 532 and rest of Ch. 12 are not covered. | Survival regression etc. (02.03) Case study in medical statistics (16.03) |
| Point processes. Recurrent events. Repairable systems. Poisson processes and renewal processes. Modelling and statistical analysis of data. Likelihood-methods. | Ch. 7 | The following is covered (not always in detail): 7.1 only to 7.1.3; most of 7.2, but only to 7.2.6; 7.3 to 7.3.4; but in addition 7.3.8; most of 7.4. Pooled versions of Laplace and Mil-Hdbk tests |