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Lecture plan and progress
R&H refers to relevant sections in Rausand & Høyland: System Reliability Theory: Models, Statistical Methods, and Applications, 2nd Edition. Wiley 2004.
| Date | R&H | Topic | Slides | Notes/Supplementary reading |
|---|---|---|---|---|
| 07.01 | 2.3-2.5, 2.6, 2.9-2.14 | Introduction and motivation. General concepts for lifetime modeling. Parametric families of lifetime distributions. | Slides 1, Slides 2, Slides 3 | |
| 10.01 | No ordinary lecture. Installation and information of MINITAB 10:15-11:00 in MA24 | |||
| 14.01 | 2.6, 2.9-2.14, 2.17 | Parametric families of lifetime distributions (cont.). Gumbel distribution. | Slides 3, Slides 4 | Extreme value distribution, More on log-location-scale families |
| 17.01 | 11.1-11.3.3, 11.3.5 | Log-location-scale families (cont.). Censoring; empirical survival function; Kaplan-Meier estimator. | Slides 4, Slides 5 | |
| 22.01 | 11.3.6 | Kaplan-Meier estimator (cont.). Nelson-Aalen estimator. | Slides 5, Slides 6 | |
| 24.01 | 11.3.7 | Properties of the exponential distribution. Derivation of the Nelson-Aalen estimator, TTT-plot | Slides 6 | About the Exponential Distribution, Poisson Process, Total Time on Test and Barlow-Proschan's Test. |
| 29.01 | 11.3.7 | More on TTT-plot. Barlow-Proschans test. The logrank test. | Slides 6 (start p. 27) | Note on the logrank test, Algorithm for TTT and BP |
| 31.01 | 11.4.3, 11.4.4 | Introduction to parametric methods. Parametric inference for the exponential model. | Slides 7 (replaced 31.01), Slides 8 | The standard confidence interval for positive parameters. Some likelihood theory. |
| 05.02 | 11.4.5 | Lecture from 15:15-16 only. Extra: In Exam 2007, Problem 4 (b), do the logrank test. Do (a) if you have time. In lecture: Confidence intervals for the exponential distribution. | Slides 8 | |
| 07.02 | 11.4.5 | Parametric inference for the Weibull model. | Slides 9 | |
| 12.02 | NO LECTURE (work on project) | |||
| 14.02 | Inference in log-location-scale models. Threshold models (3-parameter Weibull). | Slides 10 | ||
| 19.02 | Parametric survival regression. | Slides 11 | ||
| 21.02 | Parametric survival regression (cont.), Proportional hazards and Cox-regression | Slides 12 |