


The Pareto Distribution
=======================

.. function:: gsl_ran_pareto(a, b)

 This function returns a random variate from the :index:`Pareto
 distribution` of order ``a``. The distribution function is,

 .. math::
   p(x) dx = (a/b) / (x/b)^{a+1} dx

 for :math:`x \geq b`.

.. function:: gsl_ran_pareto_pdf(x, a, b)

 This function computes the probability density :math:`p(x)` at :math:`x` for a
 Pareto distribution with exponent ``a`` and scale ``b``, using the
 formula given above.

.. function:: gsl_cdf_pareto_P(x, a, b)

.. function:: gsl_cdf_pareto_Q(x, a, b)

.. function:: gsl_cdf_pareto_Pinv(P, a, b)

.. function:: gsl_cdf_pareto_Qinv(Q, a, b)

 These functions compute the cumulative distribution functions
 :math:`P(x), Q(x)` and their inverses for the Pareto distribution
 with exponent ``a`` and scale ``b``.
