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, <math>cdf</math> and failure rate functions, it is sometimes preferred over the normal distribution, where these functions can only be obtained numerically.
-The <math>pdf</math> 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:
-<br>
-::<math> \mu = \text{location parameter,also denoted as }</math> <math>\overline{T}</math>
-<br>
-::<math> \sigma=\text{scale parameter} </math>
-<br>
-The logistic distribution and its characteristics are presented in more detail in Chapter 10.
-<br>