Abstract
In this paper, we show how to estimate the reliability of an entire system for a specified period of time when the available data may be at different levels of the system and come from different test modalities and consequently vary in fidelity. We propose a hierarchical statistical model for binary data which allows all available data to be used while faithfully accounting for these differences. This allows one to provide a better estimate of system reliability under use conditions even when some of test modalities are harsher than use conditions. We take a Bayesian approach and show how it can be implemented in WinBUGS. The proposed methodology is illustrated with an example.
Additional information
Notes on contributors
C. Shane Reese
C. Shane Reese He is an Assistant Professor in the Department of Statistics at Brigham Young University. He research interests include reliability analysis, Bayesian hierarchical modeling and sports statistics.
Hamada Michael
Michael Hamada He is a Technical Staff Member in Statistical Sciences at Los Alamos National Laboratory. His research interests include design of experiments, reliability and statistical process control.
David Robinson
David Robinson He is a Distinguished Member of the Technical Staff at Sandia National Laboratories. His major areas of research involve characterization of uncertainty in the operation of complex systems and the life-time survival analysis of aging electrical and mechanical components (including real-time diagnostics and prognostics).