Test-Fix-Test Data Reference Example
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This example compares the results for test-fix-test data (time terminated).
Reference Case
Crow, L.H., Confidence Interval Procedures for the Weibull Process with Applications to Reliability Growth, U.S. Army Material Systems Analysis Activity, 1981.
Data
| Termination Time = 500 hours |
|---|
| 0.2 |
| 4.2 |
| 4.5 |
| 5 |
| 5.4 |
| 6.1 |
| 7.9 |
| 14.8 |
| 19.2 |
| 48.6 |
| 85.8 |
| 108.9 |
| 127.2 |
| 129.8 |
| 150.1 |
| 159.7 |
| 227.4 |
| 244.7 |
| 262.7 |
| 315.3 |
| 329.6 |
| 404.3 |
| 486.2 |
Result
Beta = 0.413, Lambda = 1.769
DMTBF = 52.7
Confidence Bounds on DMTBF (CL = 80%) = (35.6, 82.9)
Results in RGA
- [math]\displaystyle{ \begin{align} \hat{\beta }=&\frac{N}{{N\ln T^{*}}-\sum_{i=1}^{N}T_{i}}\\ \\ =&\frac{23}{{23\cdot \ln \left ( 500 \right )}-87.2106}\\ \\ =&0.4127 \end{align}\,\! }[/math]
- [math]\displaystyle{ \begin{align} \hat{\lambda }=&\frac{N}{T^{*\beta }}\\ \\ =&\frac{23}{500^{0.4127}}\\ \\ =&1.7691 \end{align}\,\! }[/math]
