Statistics for Maintenance Modelling: Repairable Systems

# Summary¤

This session introduced:

1. the concept of repairable systems
2. a few graphical methods for presenting:

- the Mean Cumulative Number of Failures (MCNF)
- the Mean Cumulative Cost Function (MCCF)
- the Rate of Occurrence of Failures (ROCOF). Attention was paid to the ROCOF where Poisson processes are involved.

3. HPP and NHPP - two specific ROCOF for the NHPP were given in detail
4. the likelihood formulation for estimating the unknown parameters within each ROCOF
5. testing the trend of the ROCOF and the Laplace test
6. the importance of repair time in maintenance modelling and the concepts of maintainability and availability.