A comparison of the Lieberman-Ross and Mann-Grubbs methods
Schoenstadt, Arthur L.
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This paper compares the Lieberman-Ross (LR) method, a statistically exact procedure for computing system reliability bounds, with the Mann-Grubbs (MG) procedure, an approximately optimum method for computing such bounds. For systems with exponentially distributed failure times, it is shown that the MG procedure, using the same data as the LR procedure, will always compute a lower bound than the LR bound. Simulation methods are used to infer that only when failure data are ordered so that a significant portion of the data is not incorporated by the LR procedure, will the LR procedure have a reasonable expectation of producing a superior bound to the MG bound. This is interpreted as dictating a data order that discards failure data on the least reliable component samples
NPS Report NumberNPS-53Zh76091
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