plotCDFEmpirical
==============================================

Purpose
----------------
Plots the cumulative distribution function
(cdf) of the empirical distribution.

Format
----------------
.. function:: plotCDFEmpirical([myPlot, ]x[, bins])

    :param myPlot: Optional argument, a :class:`plotControl` structure
    :type myPlot: struct

    :param x: data
    :type x: Nx1 vector

    :param bins: Optional input. If scalar, evenly spaced vector between *x_min* and *x_max* sized equal number of bins is
        used to find the empirical cdf. If vector, GAUSS uses the passed vector as the values at which to find empirical cdf.
    :type bins: scalar or vector

Examples
----------------

::

    new;
    cls;
    rndseed 2223;

    // Create a random vector
    x = rndn(30, 1);

    // Sort x  for the first column
    x = sortc(x, 1);

    // Get empirical cdf of x
    { f, bk_points } = cdfEmpirical(x);

    // Add negative infinity (__INFN) for probability equal to 0.
    print (__INFN|x)~f;

    // Plot empirical distribution
    plotCDFEmpirical(x);

    // Get normal cdf of x
    f2 = cdfN(x);

    // Plot theoretical distribution
    plotADDXY(x, f2);

After above code,

::

               -INF       0.00000000
         -2.3124206      0.033333333
         -1.6240227      0.066666667
         -1.2763153       0.10000000
        -0.82532512       0.13333333
        -0.81574278       0.16666667
        -0.64338729       0.20000000
        -0.59625173       0.23333333
        -0.49725006       0.26666667
        -0.47855430       0.30000000
        -0.39340284       0.33333333
        -0.36201638       0.36666667
       -0.063830011       0.40000000
      -0.0064523646       0.43333333
         0.23570074       0.46666667
         0.32355136       0.50000000
         0.37501508       0.53333333
         0.39847826       0.56666667
         0.50039685       0.60000000
         0.68900341       0.63333333
         0.69132515       0.66666667
         0.72246796       0.70000000
         0.76893134       0.73333333
          1.0221019       0.76666667
          1.0638924       0.80000000
          1.1274880       0.83333333
          1.2610791       0.86666667
          1.4445086       0.90000000
          2.0295113       0.93333333
          2.1240430       0.96666667
          3.1784008        1.0000000

The plot is

.. figure:: _static/images/plotcdfempirical.png

.. seealso:: Functions :func:`cdfEmpirical`