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Department of Mathematical Sciences

Seminars

This week's seminars

Statistics Seminars: Higher order Markov processes for the failure process of a repairable system

Presented by Dr Shaomin Wu, Kent Business School

21 May 2018 15:30 in CM221

Most commonly used models for the failure process of a repairable system have two drawbacks: (1) they assume that the system is composed of one component, and (2) they may contain too many unknown parameters that must be estimated from failure data. However, most real-world systems are multi-component systems and failure data are too sparse to obtain stable estimates for models with many parameters. This necessitates development of new models to overcome the drawbacks. This presentation introduces a higher order Markov process model and investigates its special case, both of which model the failure process of a repairable multi-component system and contain a small number of unknown parameters. We derive a parameter estimation method and compares the performance of the proposed models with nine other models based on artificially generated data and fifteen real-world datasets. The results show that the two new models outperform the nine models, respectively.

Contact sunil.chhita@durham.ac.uk for more information

Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.