Minor doc updates. - gsl-shell.git - gsl-shell

diff --git a/doc/source/randist.rst b/doc/source/randist.rst
index d571fb3f..f6cd1df0 100644
--- a/doc/source/randist.rst
+++ b/doc/source/randist.rst

@@ -27,14 +27,14 @@ The library also provides cumulative distribution functions and

quantile functions. The cumulative distribution functions and their

inverses are computed separately for the upper and lower tails of the

-distribution, allowing full accuracy to be retained for small results.

+distribution, allowing full accuracy to be retained for small results. See the chapter :ref:`cdf-section` for more details.

.. _rnd_gaussian:

.. function:: gaussian(r [, sigma])

This function returns a Gaussian random variate, with mean zero and

- standard deviation SIGMA. The probability distribution for

+ standard deviation 'sigma'. The probability distribution for

Gaussian random variates is,

.. math::

@@ -42,16 +42,24 @@ distribution, allowing full accuracy to be retained for small results.

for x in the range -\ |infin| to +\ |infin| . Use the transformation z =

|mgr| + x on the numbers returned by 'gsl_ran_gaussian' to obtain a

- Gaussian distribution with mean \mu. This function uses the

+ Gaussian distribution with mean |mgr|. This function uses the

Box-Mueller algorithm which requires two calls to the random

number generator R.

+ .. figure:: gaussian-pdf.png

+

+ Probability distribution function

+

+ .. figure:: gaussian-cdf.png

+

+ Cumulative distribution function

+

.. _rnd_exponential:

.. function:: exponential(r [, mu])

This function returns a random variate from the exponential

- distribution with mean MU. The distribution is,

+ distribution with mean 'mu'. The distribution is,

.. math::

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

@@ -72,7 +80,7 @@ distribution, allowing full accuracy to be retained for small results.

has a chi-squared distribution with n degrees of freedom.

This function returns a random variate from the chi-squared

- distribution with NU degrees of freedom. The distribution function

+ distribution with |ngr| degrees of freedom. The distribution function

is,

.. math::

@@ -80,6 +88,10 @@ distribution, allowing full accuracy to be retained for small results.

for x >= 0.

+ .. figure:: chisq-pdf.png

+

+ Probability distribution function

+

.. _rnd_laplace:

.. function:: laplace(r [, a])

@@ -125,7 +137,7 @@ distribution, allowing full accuracy to be retained for small results.

.. math::

p(x) dx = {1 \over a\pi (1 + (x/a)^2) } dx

- for x in the range -\infty to +\infty. The Cauchy distribution is

+ for x in the range - |infin| to + |infin| . The Cauchy distribution is

also known as the Lorentz distribution.

.. _rnd_rayleigh:

@@ -133,7 +145,7 @@ distribution, allowing full accuracy to be retained for small results.

.. function:: rayleigh(r [, sigma])

This function returns a random variate from the Rayleigh

- distribution with scale parameter SIGMA. The distribution is,

+ distribution with scale parameter |sgr|. The distribution is,

.. math::

p(x) dx = {x \over \sigma^2} \exp(- x^2/(2 \sigma^2)) dx

@@ -151,10 +163,11 @@ distribution, allowing full accuracy to be retained for small results.

.. math::

X = { (Y_1 / \nu_1) \over (Y_2 / \nu_2) }

- has an F-distribution F(x; |ngr|\ :sub:`1`, |ngr|\ :sub:`1`).

+ has an F-distribution F(x; |ngr|\ :sub:`1`, |ngr|\ :sub:`2`).

- This function returns a random variate from the F-distribution

- with degrees of freedom NU1 and NU2. The distribution function is,

+ This function returns a random variate from the F-distribution with

+ degrees of freedom |ngr|\ :sub:`1` and |ngr|\ :sub:`2`. The

+ distribution function is,

.. math::

p(x) dx =