Sequential Data - Lloyd-Lipow Model: Difference between revisions
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<noinclude>{{Banner RGA Examples}} | <noinclude>{{Banner RGA Examples}} | ||
''This example appears in the [ | ''This example appears in the [https://help.reliasoft.com/reference/reliability_growth_and_repairable_system_analysis Reliability growth reference]''. | ||
</noinclude> | </noinclude> | ||
Use MLE to find the Lloyd-Lipow model that represents the data in the following table, and plot it along with the 95% 2-sided confidence bounds. Does the model follow the data? | Use MLE to find the Lloyd-Lipow model that represents the data in the following table, and plot it along with the 95% 2-sided confidence bounds. Does the model follow the data? | ||
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|20|| S | |20|| S | ||
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'''Solution''' | '''Solution''' | ||
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The two figures below demonstrate the solution. As can be seen from the Reliability vs. Time plot with 95% 2-sided confidence bounds, the model does not seem to follow the data. You may want to consider another model for this data set. | The two figures below demonstrate the solution. As can be seen from the Reliability vs. Time plot with 95% 2-sided confidence bounds, the model does not seem to follow the data. You may want to consider another model for this data set. | ||
[[Image:rga6.10.png | [[Image:rga6.10.png|center|600px]] | ||
[[Image:rga6.11.png | [[Image:rga6.11.png|center|450px]] | ||
Latest revision as of 21:17, 18 September 2023
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This example appears in the Reliability growth reference.
Use MLE to find the Lloyd-Lipow model that represents the data in the following table, and plot it along with the 95% 2-sided confidence bounds. Does the model follow the data?
| Run Number | Result |
|---|---|
| 1 | F |
| 2 | F |
| 3 | S |
| 4 | S |
| 5 | S |
| 6 | F |
| 7 | S |
| 8 | F |
| 9 | F |
| 10 | S |
| 11 | S |
| 12 | S |
| 13 | F |
| 14 | S |
| 15 | S |
| 16 | S |
| 17 | S |
| 18 | S |
| 19 | S |
| 20 | S |
Solution
The two figures below demonstrate the solution. As can be seen from the Reliability vs. Time plot with 95% 2-sided confidence bounds, the model does not seem to follow the data. You may want to consider another model for this data set.
