Exponential Distribution

Distribution Analyses

The exponential distribution has the probability density function

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

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

The cumulative distribution function is

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