Its probability density function is
for x > 0 and 0 elsewhere. is the scale parameter, which is the inverse of the rate parameter . The rate parameter is an alternative, widely used parameterization of the exponential distribution [R67].
The exponential distribution is a continuous analogue of the geometric distribution. It describes many common situations, such as the size of raindrops measured over many rainstorms [R65], or the time between page requests to Wikipedia [R66].
scale : float
size : tuple of ints
|[R65]||(1, 2) Peyton Z. Peebles Jr., “Probability, Random Variables and Random Signal Principles”, 4th ed, 2001, p. 57.|
|[R66]||(1, 2) “Poisson Process”, Wikipedia, http://en.wikipedia.org/wiki/Poisson_process|
|[R67]||(1, 2) “Exponential Distribution, Wikipedia, http://en.wikipedia.org/wiki/Exponential_distribution|