This article presents an upper confidence bound for a measure of reliability/maintainability of a series system in which component repair is assumed to restore the system to its original status. Under exponentiality of component-repair time and survival time distributions, the measure M is the ratio of expected system-repair time to expected system-survival time. Moreover, under this exponentiality assumption, the bound is uniformly minimum among all bounds of specified level that are nondecreasing functions of the maximum likelihood estimator of M. As a matter of practical interest, the measure M has been incorporated into Military Standard MIL-STD-470B and is an official statistic of the Air Force Reliability Maintainability Information System.
[1]
Margarita F. Guerrero.
Optimal confidence bounds
,
1984
.
[2]
G. S. Fishman,et al.
A Statistical Evaluation of Multiplicative Congruential Random Number Generators with Modulus 231 — 1
,
1982
.
[3]
G. S. Fishman.
Principles of Discrete Event Simulation
,
1978
.
[4]
Robert J. Buehler,et al.
Confidence Intervals for the Product of Two Binomial Parameters
,
1957
.
[5]
E. Kay,et al.
Methods for statistical analysis of reliability and life data
,
1974
.
[6]
Emanuel Parzen,et al.
Stochastic Processes
,
1962
.
[7]
J. M. Jobe,et al.
A new R&M measure and its estimation
,
1988
.