Template:LogisticDistribution: Difference between revisions

Latest revision as of 09:57, 9 August 2012

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-=== The Logistic Distribution  ===
+#REDIRECT [[The Logistic Distribution]]
-The logistic distribution has a shape very similar to the normal distribution (i.e., bell shaped), but with heavier tails. Since the logistic distribution has closed form solutions for the reliability, <span class="texhtml">''cdf''</span> and failure rate functions, it is sometimes preferred over the normal distribution, where these functions can only be obtained numerically. The <span class="texhtml">''pdf''</span> of the logistic distribution is given by: <br>
-::<math>\begin{align}
-   f(t)= & \frac{e^z}{\sigma {(1+{e^z})^{2}}} \\
-  z= & \frac{t-\mu }{\sigma } \\
- \sigma > & 0
-\end{align}</math>
-<br>where:
-::<span class="texhtml">μ = location parameter,also denoted as </span><math>\overline{T}</math>
-::<span class="texhtml">σ = scale parameter</span>
-The logistic distribution and its characteristics are presented in&nbsp;detail in the chapter [[The Logistic Distribution]].
-<br>