Simplified Expressions for Obtaining Approximately Optimum System-Reliability Confidence Bounds from Exponential Subsystem Data

Abstract Expressions derived by Mann and Grubbs [9] for obtaining confidence bounds on series-system reliability from exponential subsystem Type-II censored life-test data are simplified. The simplification allows calculation of confidence bounds based on weighted averages of only the first and second powers of the inverses of “total time on test” for the various independent subsystems tested. These approximate well (within about a unit in the second significant figure) optimum (uniformly most accurate unbiased) confidence bounds obtained iteratively by computer techniques from results of Lentner and Buehler [5] and El Mawaziny [1].