Template:Logistic probability density function

Logistic Probability Density Function
The logistic $$pdf$$  is given by:


 * $$\begin{matrix}

f(t)=\tfrac{\sigma {{(1+{{e}^{z}})}^{2}}} \\ \\

z=\tfrac{t-\mu }{\sigma } \\ \\

-\infty 0 \\ \\ \end{matrix}$$

where:


 * $$\begin{align}

\mu = & \text{location parameter (also denoted as }\overline{T}) \\ \sigma = & \text{scale parameter} \end{align}$$