Logistic Distribution |
(continuous probab dist for equations) |
Usage: |
LogisticDist (x, m, s) |
Definition: |
exp (-(x-m)/s) / (s * (1 + exp (-(x-m)/s))^2) |
Parameters: |
m = location s = scale |
Required: |
s > 0 |
Moments: |
Mean = Median = Mode = m variance = (pi*s)^2/3 kurtosis = 6/5 entropy = log(s)+2 |
It resembles the normal distribution in shape but has heavier tails (higher kurtosis). Its cumulative distribution function (cdf) is the logistic function.