Template:Ipl ex mean: Difference between revisions

Latest revision as of 23:03, 15 August 2012

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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:
-<br>
-::<math>\begin{align}
-  & \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}}}
-\end{align}</math>
-<br>
-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.
-<br>