RIAC SOAR 4 : 1985
Withdrawn
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06-01-2014
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
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