The continuous distribution with parameters 
and 
having probability and distribution functions
 |  | ![(e^(-(x-m)/b))/(b[1+e^(-(x-m)/b)]^2)](https://mathworld.wolfram.com/images/equations/LogisticDistribution/Inline5.svg) | (1) |
 |  |  | (2) |
(correcting the sign error in von Seggern 1993, p. 250). The distribution function is similar in form to the solution to the continuous logistic equation
 | (3) |
giving the distribution its name.
The logistic distribution is implemented in the Wolfram Language as LogisticDistribution[mu, beta].
The mean, variance, skewness, and kurtosis excess are
 |  |  | (4) |
 |  |  | (5) |
 |  |  | (6) |
 |  |  | (7) |
