# The Exponential Distribution¶

gsl_ran_exponential(mu)

This function returns a random variate from the exponential distribution with mean mu. The distribution is,

$p(x) dx = {1 \over \mu} \exp(-x/\mu) dx$

for $$x \geq 0$$.

gsl_ran_exponential_pdf(x, mu)

This function computes the probability density $$p(x)$$ at $$x$$ for an exponential distribution with mean mu, using the formula given above.

gsl_cdf_exponential_P(x, mu)
gsl_cdf_exponential_Q(x, mu)
gsl_cdf_exponential_Pinv(P, mu)
gsl_cdf_exponential_Qinv(Q, mu)

These functions compute the cumulative distribution functions $$P(x), Q(x)$$ and their inverses for the exponential distribution with mean mu.