Logistic distribution
= Logistic distribution
{wiki}
The logistic location family has density and distribution function
$$
f(x\mid\theta)=\frac{e^{x-\theta}}{(1+e^{x-\theta})^2},
\qquad
F_\theta(x)=\frac{e^{x-\theta}}{1+e^{x-\theta}}.
$$
= Logistic distribution
{wiki}
The logistic location family has density and distribution function
$$
f(x\mid\theta)=\frac{e^{x-\theta}}{(1+e^{x-\theta})^2},
\qquad
F_\theta(x)=\frac{e^{x-\theta}}{1+e^{x-\theta}}.
$$