The logistic distribution is used for growth models and in logistic regression. It has longer tails and a higher kurtosis than the normal distribution.
The logistic distribution uses the following parameters.
Probability Density Function
The probability density function (pdf) is
Relationship to Other Distributions
The loglogistic distribution is closely related to the logistic distribution. If x is distributed loglogistically with parameters μ and σ, then log(x) is distributed logistically with parameters μ and σ.