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| ::<math>\begin{align} | | ::<math>\begin{align} |
| \hat{\beta }=&\frac{N}{{N\ln T^{*}}-\sum_{i=1}^{N}T_{i}}\\ | | \widehat{\beta }=&\frac{N}{{N\ln T^{*}}-\sum_{i=1}^{N}T_{i}}\\ |
| \\ | | \\ |
| =&\frac{23}{{23\cdot \ln \left ( 500 \right )}-87.2106}\\ | | =&\frac{23}{{23\cdot \ln \left ( 500 \right )}-87.2106}\\ |
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| ::<math>\begin{align} | | ::<math>\begin{align} |
| \hat{\lambda }=&\frac{N}{T^{*\beta }}\\ | | \widehat{\lambda }=&\frac{N}{T^{*\beta }}\\ |
| \\ | | \\ |
| =&\frac{23}{500^{0.4127}}\\ | | =&\frac{23}{500^{0.4127}}\\ |
Revision as of 22:42, 12 June 2014
RGA_Reference_Examples_Banner.png
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
| 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
|
Termination Time = 500 hours
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}
\widehat{\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}
\widehat{\lambda }=&\frac{N}{T^{*\beta }}\\
\\
=&\frac{23}{500^{0.4127}}\\
\\
=&1.7691
\end{align}\,\! }[/math]
