Weibull Distribution

Distribution Analyses

The Weibull distribution has the probability density function

$f(y) = \frac{c}{\sigma} (\frac{y-\theta}{\sigma})^{c-1} \exp( -(\frac{y-\theta}{\sigma})^c ) {for y\gt\theta, c\gt}$

where $\theta$ is the threshold parameter, $\sigma$ is the scale parameter, and c is the shape parameter.

The cumulative distribution function is

$F(y) = 1 - \exp( -(\frac{y-\theta}{\sigma})^c ) {for y\gt\theta}$