Title :
Estimation of Reliability of Cascade System
Author_Institution :
Department of Mathematics; Monash University; Clayton, Victoria 3168 AUSTRALIA.
Abstract :
A k-cascade system with k components is formulated where a single random stress is applied to all components each with an s-independent random strength. The minimum variance s-unbiased and Bayes estimators for the reliability of this system are obtained when stress and strength are assumed to follow s-independent exponential distributions with unknown scale parameters.
Keywords :
Australia; Bayesian methods; Exponential distribution; Mathematics; NIST; Probability distribution; Reliability theory; Statistical distributions; Stress; Yield estimation; Bayes estimator; Cascade system; Conjugate prior; Exponential distribution; Minimum variance s-unbiased estimator;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1980.5220914
