Inverse Power Law (IPL)-Lognormal Model
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This example validates the IPL life stress relationship with a lognormal distribution.
Reference Case
The data set is from Example 19.10 on page 504 in book Statistical Methods for Reliability Data by Dr. Meeker and Dr. Escobar, John Wiley & Sons, 1998.
Data
A Mylar-Polyurethane Insulating structure was tested under several different voltage settings. The test data is given in the table shown next.
| Time Failed (Hr) | Voltage (kV) |
|---|---|
| 15 | 219 |
| 16 | 219 |
| 36 | 219 |
| 50 | 219 |
| 55 | 219 |
| 95 | 219 |
| 122 | 219 |
| 129 | 219 |
| 625 | 219 |
| 700 | 219 |
| 49 | 157.1 |
| 99 | 157.1 |
| 154.5 | 157.1 |
| 180 | 157.1 |
| 291 | 157.1 |
| 447 | 157.1 |
| 510 | 157.1 |
| 600 | 157.1 |
| 1656 | 157.1 |
| 1721 | 157.1 |
| 188 | 122.4 |
| 297 | 122.4 |
| 405 | 122.4 |
| 744 | 122.4 |
| 1218 | 122.4 |
| 1340 | 122.4 |
| 1715 | 122.4 |
| 3382 | 122.4 |
| 606 | 100.3 |
| 1012 | 100.3 |
| 2520 | 100.3 |
| 2610 | 100.3 |
| 3988 | 100.3 |
| 4100 | 100.3 |
| 5025 | 100.3 |
| 6842 | 100.3 |
Result
Results in ALTA