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 |
|---|---|---|---|---|
| 06.01 | 2.3-2.5 | Introduction and motivation. General concepts for lifetime modeling. | Slides 1, Slides 2 | |
| 08.01 | 2.6, 2.9-2.14 | Parametric families of lifetime distributions. | Slides 3 | |
| 13.01 | (2.17) | Parametric families of lifetime distributions (cont.). Gumbel distribution. Log-location-scale families | Slides 3 (from p. 15),Slides 4 | Extreme value distribution, More on log-location-scale families |
| 15.01 | 11.1-11.3.3, 11.3.5 | Censoring; empirical survival function; Kaplan-Meier estimator. | Slides 5 | |
| 20.01 | 11.3.6 | The Nelson-Aalen estimator. Properties of the exponential distribution | Slides 6, p. 1-11 | About the Exponential Distribution, Poisson Process, Total Time on Test and Barlow-Proschan's Test. |
| 22.01 | 11.3.7 | Derivation of NA-estimator, TTT-plot | Slides 6, p. 11-26 | |
| 27.01 | 11.3.7 | TTT-plot, Barlow-Proschan's test | Slides 6, p. 27-43 | |
| 29.01 | The logrank test. Introduction to parametric methods | Slides 6, p. 44-50, Slides 7 | ||
| 03.02 | 11.4.3, 11.4.4 | Parametric inference for the exponential model | Slides 8 | The standard confidence interval for positive parameters.,Some likelihood theory. |
| 05.02 | 11.4.5 | Parametric inference for the Weibull model | Slides 9, p. 1-6 and 14-17 | |
| 10.02 | 11.4.5 | Parametric inference for the Weibull model (cont). Log-location-scale models. | Slides 9, p. 7-13, Slides 10 | |
| 12.02 | 11.4.4, 11.4.5 | Log-location-scale models (cont). Exact confidence interval for exponential distribution and type II censoring. | Slides 10 | |
| 17.02 | Threshold models (3-parameter Weibull). Parametric survival regression. | Slides 10 (p. 21-27), Slides 11 | ||
| 19.02 | Parametric survival regression (cont.), | Slides 11 (p. 15-29) | Book chapter on survival regression | |
| 24.02 | Proportional hazards and Cox-regression | Slides 11 (p. 30-42), Slides 12 (p. 1-7) | Case study in Cox regression: Medical data | |
| 26.02 | Proportional hazards and Cox-regression (cont.) | Slides 12 (p. 8-23) | Case study in Cox regression: Reliability | |
| 03.03 | NO LECTURE TODAY | |||
| 05.03 | Proportional hazards and Cox-regression (cont.) | Slides 12 (p. 23-40) | ||
| 10.03 | 12, 7.1, 7.2.1 | Case study of Cox-regression. Accelerated life testing. | Slides 12 (p. 41-48); Slides 13, | Modelling of covariates and factors |
| 12.03 | 7.3.1, 7.4.1, 7.4.2, 7.4.3 | Recurrent events and repairable systems. The nonhomogeneous Poisson process (NHPP). | Slides 14 (p. 1-18) | |
| 17.03 | 7.4.3 | Nonparametric estimation in repairable systems. | Slides 14 (p. 19-27) | |
| 19.03 | 7.4.3, 7.4.4 | Nonparametric estimation in repairable systems (cont.). Parametric estimation in NHPPs | Slides 14 (p. 28-41), Slides 15 (p. 1-17) | |
| 24.03 | 7.4.4, 7.4.5 | Parametric estimation in NHPPs. Trend testing in NHPPs. | Slides 15 (p. 18-23), Slides 16 (p. 1-8) | |
| 26.03 | 7.4.4, 7.4.5, 7.3.1, 7.3.2, 7.3.3 | Trend testing in NHPPs (cont.). TTT-plots for repairable systems. Renewal processes. | Slides 16 (p. 9-31) | |
| 31.03 02.04 07.04 | Easter break | |||
| 09.04 | Go through and discuss topics from exam exercises (in this order, as far as we get today. Continue May 5 and 7): 2009 Problems 2,3 (09.04) 2012 Problems 1,2 (05.05 …) 2014 Problem 2 2010 Problem 2,3 2014 Problem 3 2014 Problem 1 | |||
| 14.04 16.04 | No lectures (moved to 05.05 and 07.05) Do trial exam: Exam 2013 | |||
| 21.04 | Go through trial exam (Exam 2013) | |||
| 05.05 07.05 | Continue on list from 09.04 |