


The Pascal Distribution
=======================

.. function:: gsl_ran_pascal(p, n)

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

 .. math::
   p(k) = {(n + k - 1)! \over k! (n - 1)! } p^n (1-p)^k

 for :math:`k \geq 0`

.. function:: gsl_ran_pascal_pdf(k, p, n)

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

.. function:: gsl_cdf_pascal_P(k, p, n)

.. function:: gsl_cdf_pascal_Q(k, p, n)

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