Inverse logistic distribution

This tool calculates the Inverse of logistic Cumulative Distribution Function.


s > 0

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