Generalized half-logistic distribution

The probability density function for the generalized half-logistic distribution is:

.. math::

f(x, c) = \frac{2 (1 - c x)^{1/(c-1)}}{[1 + (1 - c x)^{1/c}]^2}

where :math:0 \le x \le 1/c, c > 0.

The cumulative distribution function is:

.. math::

F(x, c) = (1 - (1-cx)^{1/c}) / (1 + (1-cx)^{1/c})

The following plots show the pdf and cdf:

.. image:: ../../../../tests/imgs/stats/continuous/genhalflogistic/genhalflogisticpdf.png :align: center :width: 480

.. image:: ../../../../tests/imgs/stats/continuous/genhalflogistic/genhalflogisticcdf.png :align: center :width: 480