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RIAC SOAR 4 : 1985

Withdrawn
Withdrawn

A Withdrawn Standard is one, which is removed from sale, and its unique number can no longer be used. The Standard can be withdrawn and not replaced, or it can be withdrawn and replaced by a Standard with a different number.

CONFIDENCE BOUNDS FOR SYSTEM RELIABILITY
Withdrawn date

06-01-2014

Published date

01-12-2013

1.0 Introduction
2.0 Literature search
3.0 Statistical problems
4.0 Applicable statistical methods
4.1 Kraemer's method
4.2 El Mawaziny-Buehler method
4.3 Grubbs fiducial method
4.4 Mann-Grubbs approximately optimal method
5.0 Procedure for synthesizing unit tests into system
       reliability
5.1 The approximately optimal (AO) bound method
5.2 Adaptive procedure (MANN 72)
5.3 Numerical study on the different variants for m
       and v
5.4 Requirements for application of the AO procedure
5.5 Numerical example
5.6 The case of only one failure in some subsystem(s)
5.7 An estimator of the failure rate upper bound
5.8 Departures from AO method requirements
5.8.1 No observed failures
5.8.2 Type I censoring
5.9 Computer program
5.10 Summary of the AO bound procedures for general
       applications
6.0 Simulation study
7.0 References
Tables
1 Three computational formulae for parameters m and
       v
2 AO lower system reliability bound
3 Comparison of the three versions of the AO bound
4 Theoretical requirements for the AO procedure
5 Failure times for the numerical example
6 Example of the effects of incorrect ordering in
       the AO bound calculation
7 Example data for computer program
8 Computer program - interactive session
Figures
1 Literature search structure
2 Graphical comparison of the three versions of the
       AO system bound
3 Tie truncation (Type I censoring)
Appendices
A Simulation study
B Literature search
Additional RAC services

Supplies algorithms for estimating confidence bounds on system reliability from subsystem reliability estimates. Written for non-statisticians.

DocumentType
Standard
PublisherName
The Reliability Information Analysis Center
Status
Withdrawn

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