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|  | '''Stress-Strength Analysis with Parameter Uncertainty'''
 |  | #REDIRECT [[Stress-Strength_Analysis_in_Design_for_Reliability]] | 
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|  | 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.
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|  | {| border="1" class="wikitable" style="margin: 1em auto 1em auto"
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|  | | align="center" style="background:#f0f0f0;"|'''Stress: Milage Distribution'''
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|  | | align="center" style="background:#f0f0f0;"|''''''
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|  | |-
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|  | | 10096||12405
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|  | |-
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|  | | 10469||12527
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|  | |-
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|  | | 10955||12536
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|  | |-
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|  | | 11183||12595
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|  | |-
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|  | | 11391||12657
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|  | |-
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|  | | 11486||13777
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|  | |-
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|  | | 11534||13862
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|  | |-
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|  | | 11919||13971
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|  | |-
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|  | | 12105||14032
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|  | |-
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|  | | 12141||14138
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|  | |-
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|  | |}
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|  | The strength distribution or the failure mile distribution is given in the next table:
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|  | {|border="1" class="wikitable" style="margin: 1em auto 1em auto"
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|  | | align="center" style="background:#f0f0f0;"|'''Strength: Failure Distribution'''
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|  | | align="center" style="background:#f0f0f0;"|''''''
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|  | |-
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|  | | 13507||16125
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|  | |-
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|  | | 13793||16320
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|  | |-
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|  | | 13943||16327
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|  | |-
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|  | | 14017||16349
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|  | |-
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|  | | 14147||16406
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|  | |-
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|  | | 14351||16501
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|  | |-
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|  | | 14376||16611
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|  | |-
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|  | | 14595||16625
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|  | |-
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|  | | 14746||16670
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|  | |-
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|  | | 14810||16749
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|  | |-
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|  | | 14940||16793
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|  | |-
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|  | | 14951||16862
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|  | |-
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|  | | 15104||16930
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|  | |-
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|  | | 15218||16948
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|  | |-
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|  | | 15303||17024
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|  | |-
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|  | | 15311||17041
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|  | |-
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|  | | 15480||17263
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|  | |-
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|  | | 15496||17347
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|  | |-
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|  | | 15522||17430
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|  | |-
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|  | | 15547||17805
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|  | |-
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|  | | 15570||17884
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|  | |-
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|  | | 15975||18549
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|  | |-
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|  | | 16003||18575
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|  | |-
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|  | | 16018||18813
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|  | |-
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|  | | 16052||18944
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|  | |-
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|  | |}
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