The logistic distribution is used for growth models and in logistic
regression. It has longer tails and a higher kurtosis than the normal
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 mean
and standard deviation.