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.
Parameter | Description | Support |
---|---|---|
mu | Mean | |
sigma | Scale parameter |
The probability density function (pdf) is
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.