Abstract
In estimating the reliability of a system of components, it is ordinarily assumed that the component lifetimes are independently distributed. This assumption usually alleviates the difficulty of analyzing complex systems, but it is seldom true that the failure of one component in an interactive system has no effect on the lifetimes of the other components. Often, two or more components will fail simultaneously due to a common cause event. Such an incident is called a common cause failure (CCF), and is now recognized as an important contribution to system failure in various applications of reliability. We examine current methods for reliability estimation of system and component lifetimes using estimators derived from the binomial failure rate model. Computational problems require a new approach, like iterative solutions via the EM algorithm.
Document Type
Post-print Chapter
Publication Date
1993
Publisher Statement
Copyright © 1993 Interface Foundation of North America. This chapter first appeared in Proceedings of the 25th Symposium on the Interface: Computing Science and Statistics.
The definitive version is available at Interface Foundation of North America.
Full Citation:
Kvam, Paul H. "Computational Problems with Binomial Failure Rate Model and Incomplete Common Cause Failure Reliability Data." In Proceedings of the 25th Symposium N the Interface: Computing Science and Statistics, 107-111. Fairfax Station, VA: Interface Foundation of North America, 1993.
Recommended Citation
Kvam, Paul H., "Computational problems with binomial failure rate model and incomplete common cause failure reliability data" (1993). Department of Math & Statistics Faculty Publications. 193.
https://scholarship.richmond.edu/mathcs-faculty-publications/193