Template:GumbelDistribution: Difference between revisions

Revision as of 12:21, 20 July 2012

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-=== The Gumbel Distribution  ===
+[[Category: For Deletion]]
-The Gumbel distribution is also referred to as the Smallest Extreme Value (SEV) distribution or the Smallest Extreme Value (Type 1) distribution. The Gumbel distribution is appropriate for modeling strength, which is sometimes skewed to the left (e.g., few weak units fail under low stress, while the rest fail at higher stresses). The Gumbel distribution could also be appropriate for modeling the life of products that experience very quick wear out after reaching a certain age. <br>
-The <span class="texhtml">''pdf''</span> of the Gumbel distribution is given by:
-::<math>\begin{align}
-   f(t)= & \frac{1}{\sigma }{{e}^{z-{e^z}}} \\
- z=  &\frac{t-\mu }{\sigma } \\
-  f(t)\ge  & 0,\sigma >0
-\end{align}</math>
-<br>where,
-::<math>\begin{align}
-  \mu = & \text{location parameter} \\
-  \sigma = & \text{scale parameter}
-\end{align}</math>
-The Gumbel distribution and its characteristics are presented in [[The Gumbel/SEV Distribution]]. <br>