# Inverse logistic distribution

This tool calculates the Inverse of logistic Cumulative Distribution Function.

## Inverse logistic Distribution formulas

X : a random variable following a logistic distribution

`mu` : location parameter

s : scale parameter (s > 0)

The inverse of the cumulative distribution function F(x) is also called the 'quantile function', denoted Q(x). We have,

`F(x) = 1/(1+e^(-(x-mu))/s)`

which inverse function is,

`Q(x) = F^(-1)(x) = mu+s*ln(x/(1-x))`

## See also

Logistic distribution Probabilities

Logistic distribution Chart

Statistics Calculators