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| ====Mean or MTTF====
| | #REDIRECT [[Inverse_Power_Law_(IPL)_Relationship#IPL-Exponential]] |
| The mean, <math>\overline{T},</math> or Mean Time To Failure (MTTF) for the IPL-exponential relationship is given by:
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| <br>
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| ::<math>\begin{align}
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| & \overline{T}= & \int_{0}^{\infty }t\cdot f(t,V)dt=\int_{0}^{\infty }t\cdot K{{V}^{n}}{{e}^{-K{{V}^{n}}t}}dt =\ \frac{1}{K{{V}^{n}}}
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| \end{align}</math>
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| <br>
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| Note that the MTTF is a function of stress only and is simply equal to the IPL relationship (which is the original assumption), when using the exponential distribution.
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| <br>
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