Template:Example: Stress-Strength Analysis with Parameter Uncertainty
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Stress-Strength Analysis with Parameter Uncertainty
Assume we are going to use stress-strength analysis to estimate the reliability of a component used in a vehicle. The stress is the usage milage distribution and the strength is the failure mile distribution of the component. The warranty is 1 year and 15,000 miles, which is earlier. The milage distribution per year is given the table below.
| Stress: Milage Distribution | ' |
| 10096 | 12405 |
| 10469 | 12527 |
| 10955 | 12536 |
| 11183 | 12595 |
| 11391 | 12657 |
| 11486 | 13777 |
| 11534 | 13862 |
| 11919 | 13971 |
| 12105 | 14032 |
| 12141 | 14138 |
The strength distribution or the failure mile distribution is given in the next table:
| border="1" class="wikitable" style="margin: 1em auto 1em auto" | Strength: Failure Distribution | ' |
| 13507 | 16125 | |
| 13793 | 16320 | |
| 13943 | 16327 | |
| 14017 | 16349 | |
| 14147 | 16406 | |
| 14351 | 16501 | |
| 14376 | 16611 | |
| 14595 | 16625 | |
| 14746 | 16670 | |
| 14810 | 16749 | |
| 14940 | 16793 | |
| 14951 | 16862 | |
| 15104 | 16930 | |
| 15218 | 16948 | |
| 15303 | 17024 | |
| 15311 | 17041 | |
| 15480 | 17263 | |
| 15496 | 17347 | |
| 15522 | 17430 | |
| 15547 | 17805 | |
| 15570 | 17884 | |
| 15975 | 18549 | |
| 16003 | 18575 | |
| 16018 | 18813 | |
| 16052 | 18944 | |