# The Pascal Distribution¶

gsl_ran_pascal(p, n)

This function returns a random integer from the Pascal distribution. The Pascal distribution is simply a negative binomial distribution with an integer value of n.

$p(k) = {(n + k - 1)! \over k! (n - 1)! } p^n (1-p)^k$

for $$k \geq 0$$

gsl_ran_pascal_pdf(k, p, n)

This function computes the probability $$p(k)$$ of obtaining $$k$$ from a Pascal distribution with parameters p and n, using the formula given above.

gsl_cdf_pascal_P(k, p, n)
gsl_cdf_pascal_Q(k, p, n)

These functions compute the cumulative distribution functions $$P(k), Q(k)$$ for the Pascal distribution with parameters p and n.