We describe a hierarchical model for assessing the reliability of multi-component systems. Novel features of this model are the natural manner in which failure time data collected at either the component or subcomponent level is aggregated into the posterior distribution, and pooling of failure information between similar components. Prior information is allowed to enter the model in the form of actual point estimates of reliability at nodes, or in the form of prior groupings. Censored data at all levels of the system are incorporated in a natural way through the likelihood specification. The methodology is illustrated with an example from an anti-aircraft missile system.
Statistical Methodology | Statistical Theory
Reese, C. Shane; Johnson, Valen E.; Hamada, Michael; and Wilson, Alyson, "A Hierarchical Model for the Reliability of an Anti-aircraft Missile System" (December 2005). UT MD Anderson Cancer Center Department of Biostatistics Working Paper Series. Working Paper 9.