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