A comparison of the Lieberman-Ross and Mann-Grubbs methods
By: by Arthur L. Schoenstadt
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1976
Place of publication: Monterey, Calif
Language: eng
Number of pages: 22
Subjects: Simulation methods; Mathematical statistics
Description: 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.
Notes: Title from cover.

"September 1976"--Cover.

"NPS-53ZH76091"--Cover.

DTIC Identifiers: Lieberman-Ross method, Mann-Grubbs method, Exponential density functions.

Author(s) subject terms: Lieberman-Ross method, Mann-Grubbs method, reliability testing, reliability, simulation.

Includes bibliographical references (p. 15)

"Approved for public release; distribution unlimited"--Cover.

Technical report; 1976.