Parametric inference for multiple repairable systems under dependent competing risks

The Identifiability Problem for Repairable Systems Subject to Competing Risks

Within reliability theory, identifiability problems arise through competing risks. If we have a series system of several components, and if that system is replaced or repaired to as good as new on failure, then the different component failures represent competing risks for the system. It is well known that the underlying component failure distributions cannot be estimated from the observable da...

Competing risks for repairable systems: A data study

We analyse a dataset from the Offshore Reliability Data (OREDA) Database, looking for a model, which can be used to unveil aspects of the quality of the maintenance performed. To do so we must investigate the mathematical modelling of maintenance and repair of components that can fail due to a variety of failure mechanisms. NOTE! UNTIL WE GET A “GO” FROM THE OREDA PROJECT THE DATA IN Table 1 SH...

Parametric Estimation in a Recurrent Competing Risks Model

A resource-efficient approach to making inferences about the distributional properties of the failure times in a competing risks setting is presented. Efficiency is gained by observing recurrences of the compet- ing risks over a random monitoring period. The resulting model is called the recurrent competing risks model (RCRM) and is coupled with two repair strategies whenever the system fails. ...

INFERENCE ON CENSORED SURVIVAL DATA UNDER COMPETING RISKS by

Likelihood-Based Inference for Semi-Competing Risks

Consider semi-competing risks data (two times to concurrent events are studied but only one of them is right-censored by the other one) where the link between the times Y and C to non-terminal and terminal events respectively, is modeled by a family of Archimedean copulas. Moreover, both Y and C are submitted to an independent right censoring variable D. A new methodology based on a maximum lik...